TSTP Solution File: KRS104+1 by E-SAT---3.1.00

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E-SAT---3.1.00
% Problem  : KRS104+1 : TPTP v8.1.2. Released v3.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n028.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 : Sat May  4 08:13:01 EDT 2024

% Result   : Unsatisfiable 0.19s 0.49s
% Output   : CNFRefutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :   20
% Syntax   : Number of formulae    :   87 (   5 unt;   0 def)
%            Number of atoms       :  241 (   0 equ)
%            Maximal formula atoms :   10 (   2 avg)
%            Number of connectives :  250 (  96   ~; 106   |;  29   &)
%                                         (  17 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :   21 (  20 usr;   1 prp; 0-2 aty)
%            Number of functors    :   13 (  13 usr;   1 con; 0-1 aty)
%            Number of variables   :  125 (   7 sgn  62   !;  12   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(axiom_17,axiom,
    ! [X1] :
      ( ca_Cx7(X1)
    <=> ? [X3] : ra_Px7(X1,X3) ),
    file('/export/starexec/sandbox2/tmp/tmp.1RSVLcjG5B/E---3.1_25511.p',axiom_17) ).

fof(axiom_19,axiom,
    ! [X1] :
      ( ca_Cx7xcomp(X1)
    <=> ~ ? [X2] : ra_Px7(X1,X2) ),
    file('/export/starexec/sandbox2/tmp/tmp.1RSVLcjG5B/E---3.1_25511.p',axiom_19) ).

fof(axiom_3,axiom,
    ! [X1] :
      ( cUnsatisfiablexcomp(X1)
    <=> ( ca_Cx7(X1)
        & ca_Cx8(X1)
        & ca_Cx6(X1) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.1RSVLcjG5B/E---3.1_25511.p',axiom_3) ).

fof(axiom_16,axiom,
    ! [X1] :
      ( ca_Cx6xcomp(X1)
    <=> ? [X3] : ra_Px6(X1,X3) ),
    file('/export/starexec/sandbox2/tmp/tmp.1RSVLcjG5B/E---3.1_25511.p',axiom_16) ).

fof(axiom_14,axiom,
    ! [X1] :
      ( ca_Cx6(X1)
    <=> ~ ? [X2] : ra_Px6(X1,X2) ),
    file('/export/starexec/sandbox2/tmp/tmp.1RSVLcjG5B/E---3.1_25511.p',axiom_14) ).

fof(axiom_21,axiom,
    ! [X1] :
      ( ca_Cx8xcomp(X1)
    <=> ? [X3] : ra_Px8(X1,X3) ),
    file('/export/starexec/sandbox2/tmp/tmp.1RSVLcjG5B/E---3.1_25511.p',axiom_21) ).

fof(axiom_20,axiom,
    ! [X1] :
      ( ca_Cx8(X1)
    <=> ~ ? [X2] : ra_Px8(X1,X2) ),
    file('/export/starexec/sandbox2/tmp/tmp.1RSVLcjG5B/E---3.1_25511.p',axiom_20) ).

fof(axiom_22,axiom,
    ! [X1] :
      ( ca_Cx8xcomp(X1)
    <=> ( cc(X1)
        & cb(X1) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.1RSVLcjG5B/E---3.1_25511.p',axiom_22) ).

fof(axiom_18,axiom,
    ! [X1] :
      ( ca_Cx7xcomp(X1)
    <=> ( cc(X1)
        & ca(X1) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.1RSVLcjG5B/E---3.1_25511.p',axiom_18) ).

fof(axiom_10,axiom,
    ! [X1] :
      ( ccxcomp(X1)
    <=> ~ ? [X2] : ra_Px2(X1,X2) ),
    file('/export/starexec/sandbox2/tmp/tmp.1RSVLcjG5B/E---3.1_25511.p',axiom_10) ).

fof(axiom_9,axiom,
    ! [X1] :
      ( cc(X1)
    <=> ? [X3] : ra_Px2(X1,X3) ),
    file('/export/starexec/sandbox2/tmp/tmp.1RSVLcjG5B/E---3.1_25511.p',axiom_9) ).

fof(axiom_15,axiom,
    ! [X1] :
      ( ca_Cx6xcomp(X1)
    <=> ( ca(X1)
        & cb(X1) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.1RSVLcjG5B/E---3.1_25511.p',axiom_15) ).

fof(axiom_5,axiom,
    ! [X1] :
      ( ca(X1)
     => ca_Cx1(X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.1RSVLcjG5B/E---3.1_25511.p',axiom_5) ).

fof(axiom_11,axiom,
    ! [X1] :
      ( ca_Cx1(X1)
    <=> ( cbxcomp(X1)
        & ccxcomp(X1) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.1RSVLcjG5B/E---3.1_25511.p',axiom_11) ).

fof(axiom_8,axiom,
    ! [X1] :
      ( cbxcomp(X1)
    <=> ~ ? [X2] : ra_Px3(X1,X2) ),
    file('/export/starexec/sandbox2/tmp/tmp.1RSVLcjG5B/E---3.1_25511.p',axiom_8) ).

fof(axiom_6,axiom,
    ! [X1] :
      ( cb(X1)
    <=> ? [X3] : ra_Px3(X1,X3) ),
    file('/export/starexec/sandbox2/tmp/tmp.1RSVLcjG5B/E---3.1_25511.p',axiom_6) ).

fof(axiom_7,axiom,
    ! [X1] :
      ( cb(X1)
     => ccxcomp(X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.1RSVLcjG5B/E---3.1_25511.p',axiom_7) ).

fof(axiom_2,axiom,
    ! [X1] :
      ( cUnsatisfiable(X1)
    <=> ~ ? [X2] : ra_Px5(X1,X2) ),
    file('/export/starexec/sandbox2/tmp/tmp.1RSVLcjG5B/E---3.1_25511.p',axiom_2) ).

fof(axiom_4,axiom,
    ! [X1] :
      ( cUnsatisfiablexcomp(X1)
    <=> ? [X3] : ra_Px5(X1,X3) ),
    file('/export/starexec/sandbox2/tmp/tmp.1RSVLcjG5B/E---3.1_25511.p',axiom_4) ).

fof(axiom_23,axiom,
    cUnsatisfiable(i2003_11_14_17_20_50869),
    file('/export/starexec/sandbox2/tmp/tmp.1RSVLcjG5B/E---3.1_25511.p',axiom_23) ).

fof(c_0_20,plain,
    ! [X51,X53,X54] :
      ( ( ~ ca_Cx7(X51)
        | ra_Px7(X51,esk11_1(X51)) )
      & ( ~ ra_Px7(X53,X54)
        | ca_Cx7(X53) ) ),
    inference(fof_nnf,[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_17])])])])])]) ).

fof(c_0_21,plain,
    ! [X56,X57,X58] :
      ( ( ~ ca_Cx7xcomp(X56)
        | ~ ra_Px7(X56,X57) )
      & ( ra_Px7(X58,esk12_1(X58))
        | ca_Cx7xcomp(X58) ) ),
    inference(fof_nnf,[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_19])])])])])]) ).

fof(c_0_22,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(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_3])])])]) ).

cnf(c_0_23,plain,
    ( ca_Cx7(X1)
    | ~ ra_Px7(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_20]) ).

cnf(c_0_24,plain,
    ( ra_Px7(X1,esk12_1(X1))
    | ca_Cx7xcomp(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_21]) ).

fof(c_0_25,plain,
    ! [X47,X49,X50] :
      ( ( ~ ca_Cx6xcomp(X47)
        | ra_Px6(X47,esk10_1(X47)) )
      & ( ~ ra_Px6(X49,X50)
        | ca_Cx6xcomp(X49) ) ),
    inference(fof_nnf,[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_16])])])])])]) ).

fof(c_0_26,plain,
    ! [X42,X43,X44] :
      ( ( ~ ca_Cx6(X42)
        | ~ ra_Px6(X42,X43) )
      & ( ra_Px6(X44,esk9_1(X44))
        | ca_Cx6(X44) ) ),
    inference(fof_nnf,[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_14])])])])])]) ).

cnf(c_0_27,plain,
    ( cUnsatisfiablexcomp(X1)
    | ~ ca_Cx7(X1)
    | ~ ca_Cx8(X1)
    | ~ ca_Cx6(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_22]) ).

cnf(c_0_28,plain,
    ( ca_Cx7xcomp(X1)
    | ca_Cx7(X1) ),
    inference(spm,[status(thm)],[c_0_23,c_0_24]) ).

cnf(c_0_29,plain,
    ( ca_Cx6xcomp(X1)
    | ~ ra_Px6(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_25]) ).

cnf(c_0_30,plain,
    ( ra_Px6(X1,esk9_1(X1))
    | ca_Cx6(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_26]) ).

fof(c_0_31,plain,
    ! [X64,X66,X67] :
      ( ( ~ ca_Cx8xcomp(X64)
        | ra_Px8(X64,esk14_1(X64)) )
      & ( ~ ra_Px8(X66,X67)
        | ca_Cx8xcomp(X66) ) ),
    inference(fof_nnf,[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_21])])])])])]) ).

fof(c_0_32,plain,
    ! [X60,X61,X62] :
      ( ( ~ ca_Cx8(X60)
        | ~ ra_Px8(X60,X61) )
      & ( ra_Px8(X62,esk13_1(X62))
        | ca_Cx8(X62) ) ),
    inference(fof_nnf,[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_20])])])])])]) ).

cnf(c_0_33,plain,
    ( ca_Cx7xcomp(X1)
    | cUnsatisfiablexcomp(X1)
    | ~ ca_Cx6(X1)
    | ~ ca_Cx8(X1) ),
    inference(spm,[status(thm)],[c_0_27,c_0_28]) ).

cnf(c_0_34,plain,
    ( ca_Cx6xcomp(X1)
    | ca_Cx6(X1) ),
    inference(spm,[status(thm)],[c_0_29,c_0_30]) ).

cnf(c_0_35,plain,
    ( ca_Cx8xcomp(X1)
    | ~ ra_Px8(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_31]) ).

cnf(c_0_36,plain,
    ( ra_Px8(X1,esk13_1(X1))
    | ca_Cx8(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_32]) ).

fof(c_0_37,plain,
    ! [X68] :
      ( ( cc(X68)
        | ~ ca_Cx8xcomp(X68) )
      & ( cb(X68)
        | ~ ca_Cx8xcomp(X68) )
      & ( ~ cc(X68)
        | ~ cb(X68)
        | ca_Cx8xcomp(X68) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_22])])])]) ).

cnf(c_0_38,plain,
    ( ca_Cx7xcomp(X1)
    | ca_Cx6xcomp(X1)
    | cUnsatisfiablexcomp(X1)
    | ~ ca_Cx8(X1) ),
    inference(spm,[status(thm)],[c_0_33,c_0_34]) ).

cnf(c_0_39,plain,
    ( ca_Cx8xcomp(X1)
    | ca_Cx8(X1) ),
    inference(spm,[status(thm)],[c_0_35,c_0_36]) ).

fof(c_0_40,plain,
    ! [X55] :
      ( ( cc(X55)
        | ~ ca_Cx7xcomp(X55) )
      & ( ca(X55)
        | ~ ca_Cx7xcomp(X55) )
      & ( ~ cc(X55)
        | ~ ca(X55)
        | ca_Cx7xcomp(X55) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_18])])])]) ).

fof(c_0_41,plain,
    ! [X29,X30,X31] :
      ( ( ~ ccxcomp(X29)
        | ~ ra_Px2(X29,X30) )
      & ( ra_Px2(X31,esk6_1(X31))
        | ccxcomp(X31) ) ),
    inference(fof_nnf,[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_10])])])])])]) ).

fof(c_0_42,plain,
    ! [X25,X27,X28] :
      ( ( ~ cc(X25)
        | ra_Px2(X25,esk5_1(X25)) )
      & ( ~ ra_Px2(X27,X28)
        | cc(X27) ) ),
    inference(fof_nnf,[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_9])])])])])]) ).

fof(c_0_43,plain,
    ! [X46] :
      ( ( ca(X46)
        | ~ ca_Cx6xcomp(X46) )
      & ( cb(X46)
        | ~ ca_Cx6xcomp(X46) )
      & ( ~ ca(X46)
        | ~ cb(X46)
        | ca_Cx6xcomp(X46) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_15])])])]) ).

fof(c_0_44,plain,
    ! [X15] :
      ( ~ ca(X15)
      | ca_Cx1(X15) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_5])])]) ).

cnf(c_0_45,plain,
    ( cc(X1)
    | ~ ca_Cx8xcomp(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_37]) ).

cnf(c_0_46,plain,
    ( ca_Cx8xcomp(X1)
    | ca_Cx7xcomp(X1)
    | ca_Cx6xcomp(X1)
    | cUnsatisfiablexcomp(X1) ),
    inference(spm,[status(thm)],[c_0_38,c_0_39]) ).

cnf(c_0_47,plain,
    ( cc(X1)
    | ~ ca_Cx7xcomp(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_40]) ).

cnf(c_0_48,plain,
    ( ~ ccxcomp(X1)
    | ~ ra_Px2(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_41]) ).

cnf(c_0_49,plain,
    ( ra_Px2(X1,esk5_1(X1))
    | ~ cc(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_42]) ).

fof(c_0_50,plain,
    ! [X33] :
      ( ( cbxcomp(X33)
        | ~ ca_Cx1(X33) )
      & ( ccxcomp(X33)
        | ~ ca_Cx1(X33) )
      & ( ~ cbxcomp(X33)
        | ~ ccxcomp(X33)
        | ca_Cx1(X33) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_11])])])]) ).

cnf(c_0_51,plain,
    ( cb(X1)
    | ~ ca_Cx8xcomp(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_37]) ).

cnf(c_0_52,plain,
    ( cb(X1)
    | ~ ca_Cx6xcomp(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_43]) ).

cnf(c_0_53,plain,
    ( ca_Cx1(X1)
    | ~ ca(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_44]) ).

cnf(c_0_54,plain,
    ( ca(X1)
    | ~ ca_Cx7xcomp(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_40]) ).

fof(c_0_55,plain,
    ! [X21,X22,X23] :
      ( ( ~ cbxcomp(X21)
        | ~ ra_Px3(X21,X22) )
      & ( ra_Px3(X23,esk4_1(X23))
        | cbxcomp(X23) ) ),
    inference(fof_nnf,[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_8])])])])])]) ).

fof(c_0_56,plain,
    ! [X16,X18,X19] :
      ( ( ~ cb(X16)
        | ra_Px3(X16,esk3_1(X16)) )
      & ( ~ ra_Px3(X18,X19)
        | cb(X18) ) ),
    inference(fof_nnf,[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_6])])])])])]) ).

fof(c_0_57,plain,
    ! [X20] :
      ( ~ cb(X20)
      | ccxcomp(X20) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_7])])]) ).

cnf(c_0_58,plain,
    ( ca(X1)
    | ~ ca_Cx6xcomp(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_43]) ).

cnf(c_0_59,plain,
    ( ca_Cx6xcomp(X1)
    | cc(X1)
    | cUnsatisfiablexcomp(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_46]),c_0_47]) ).

cnf(c_0_60,plain,
    ( ~ cc(X1)
    | ~ ccxcomp(X1) ),
    inference(spm,[status(thm)],[c_0_48,c_0_49]) ).

cnf(c_0_61,plain,
    ( ccxcomp(X1)
    | ~ ca_Cx1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_50]) ).

cnf(c_0_62,plain,
    ( ca_Cx7xcomp(X1)
    | cb(X1)
    | cUnsatisfiablexcomp(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_46]),c_0_52]) ).

cnf(c_0_63,plain,
    ( ca_Cx1(X1)
    | ~ ca_Cx7xcomp(X1) ),
    inference(spm,[status(thm)],[c_0_53,c_0_54]) ).

fof(c_0_64,plain,
    ! [X6,X7,X8] :
      ( ( ~ cUnsatisfiable(X6)
        | ~ ra_Px5(X6,X7) )
      & ( ra_Px5(X8,esk1_1(X8))
        | cUnsatisfiable(X8) ) ),
    inference(fof_nnf,[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])])])])])]) ).

fof(c_0_65,plain,
    ! [X11,X13,X14] :
      ( ( ~ cUnsatisfiablexcomp(X11)
        | ra_Px5(X11,esk2_1(X11)) )
      & ( ~ ra_Px5(X13,X14)
        | cUnsatisfiablexcomp(X13) ) ),
    inference(fof_nnf,[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_4])])])])])]) ).

cnf(c_0_66,plain,
    ( ~ cbxcomp(X1)
    | ~ ra_Px3(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_55]) ).

cnf(c_0_67,plain,
    ( ra_Px3(X1,esk3_1(X1))
    | ~ cb(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_56]) ).

cnf(c_0_68,plain,
    ( ccxcomp(X1)
    | ~ cb(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_57]) ).

cnf(c_0_69,plain,
    ( cc(X1)
    | ca(X1)
    | cUnsatisfiablexcomp(X1) ),
    inference(spm,[status(thm)],[c_0_58,c_0_59]) ).

cnf(c_0_70,plain,
    ( ~ cc(X1)
    | ~ ca_Cx1(X1) ),
    inference(spm,[status(thm)],[c_0_60,c_0_61]) ).

cnf(c_0_71,plain,
    ( cc(X1)
    | cb(X1)
    | cUnsatisfiablexcomp(X1) ),
    inference(spm,[status(thm)],[c_0_47,c_0_62]) ).

cnf(c_0_72,plain,
    ( cb(X1)
    | ca_Cx1(X1)
    | cUnsatisfiablexcomp(X1) ),
    inference(spm,[status(thm)],[c_0_63,c_0_62]) ).

cnf(c_0_73,plain,
    ( ~ cUnsatisfiable(X1)
    | ~ ra_Px5(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_64]) ).

cnf(c_0_74,plain,
    ( ra_Px5(X1,esk2_1(X1))
    | ~ cUnsatisfiablexcomp(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_65]) ).

cnf(c_0_75,plain,
    ( ~ cbxcomp(X1)
    | ~ cb(X1) ),
    inference(spm,[status(thm)],[c_0_66,c_0_67]) ).

cnf(c_0_76,plain,
    ( cbxcomp(X1)
    | ~ ca_Cx1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_50]) ).

cnf(c_0_77,plain,
    ( ~ cc(X1)
    | ~ cb(X1) ),
    inference(spm,[status(thm)],[c_0_60,c_0_68]) ).

cnf(c_0_78,plain,
    ( cc(X1)
    | ca_Cx1(X1)
    | cUnsatisfiablexcomp(X1) ),
    inference(spm,[status(thm)],[c_0_53,c_0_69]) ).

cnf(c_0_79,plain,
    ( cb(X1)
    | cUnsatisfiablexcomp(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_71]),c_0_72]) ).

cnf(c_0_80,plain,
    ( ~ cUnsatisfiablexcomp(X1)
    | ~ cUnsatisfiable(X1) ),
    inference(spm,[status(thm)],[c_0_73,c_0_74]) ).

cnf(c_0_81,plain,
    cUnsatisfiable(i2003_11_14_17_20_50869),
    inference(split_conjunct,[status(thm)],[axiom_23]) ).

cnf(c_0_82,plain,
    ( ~ cb(X1)
    | ~ ca_Cx1(X1) ),
    inference(spm,[status(thm)],[c_0_75,c_0_76]) ).

cnf(c_0_83,plain,
    ( ca_Cx1(X1)
    | cUnsatisfiablexcomp(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_77,c_0_78]),c_0_79]) ).

cnf(c_0_84,plain,
    ~ cUnsatisfiablexcomp(i2003_11_14_17_20_50869),
    inference(spm,[status(thm)],[c_0_80,c_0_81]) ).

cnf(c_0_85,plain,
    cUnsatisfiablexcomp(X1),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_82,c_0_83]),c_0_79]) ).

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

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : KRS104+1 : TPTP v8.1.2. Released v3.1.0.
% 0.12/0.13  % Command    : run_E %s %d THM
% 0.13/0.34  % Computer : n028.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
% 0.19/0.34  % CPULimit   : 300
% 0.19/0.34  % WCLimit    : 300
% 0.19/0.34  % DateTime   : Fri May  3 14:01:48 EDT 2024
% 0.19/0.34  % CPUTime    : 
% 0.19/0.47  Running first-order model finding
% 0.19/0.47  Running: /export/starexec/sandbox2/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --satauto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/tmp/tmp.1RSVLcjG5B/E---3.1_25511.p
% 0.19/0.49  # Version: 3.1.0
% 0.19/0.49  # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.19/0.49  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.19/0.49  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.19/0.49  # Starting new_bool_3 with 300s (1) cores
% 0.19/0.49  # Starting new_bool_1 with 300s (1) cores
% 0.19/0.49  # Starting sh5l with 300s (1) cores
% 0.19/0.49  # G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 25588 completed with status 0
% 0.19/0.49  # Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 0.19/0.49  # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.19/0.49  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.19/0.49  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.19/0.49  # No SInE strategy applied
% 0.19/0.49  # Search class: FGHNF-FFMF11-SFFFFFNN
% 0.19/0.49  # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.19/0.49  # Starting G-E--_208_C47_F1_SE_CS_SP_PS_S0Y with 811s (1) cores
% 0.19/0.49  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.19/0.49  # Starting G-E--_208_C02CMA_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 0.19/0.49  # Starting G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y with 136s (1) cores
% 0.19/0.49  # Starting new_bool_3 with 136s (1) cores
% 0.19/0.49  # G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y with pid 25610 completed with status 0
% 0.19/0.49  # Result found by G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y
% 0.19/0.49  # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.19/0.49  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.19/0.49  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.19/0.49  # No SInE strategy applied
% 0.19/0.49  # Search class: FGHNF-FFMF11-SFFFFFNN
% 0.19/0.49  # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.19/0.49  # Starting G-E--_208_C47_F1_SE_CS_SP_PS_S0Y with 811s (1) cores
% 0.19/0.49  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.19/0.49  # Starting G-E--_208_C02CMA_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 0.19/0.49  # Starting G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y with 136s (1) cores
% 0.19/0.49  # Preprocessing time       : 0.001 s
% 0.19/0.49  
% 0.19/0.49  # Proof found!
% 0.19/0.49  # SZS status Unsatisfiable
% 0.19/0.49  # SZS output start CNFRefutation
% See solution above
% 0.19/0.49  # Parsed axioms                        : 24
% 0.19/0.49  # Removed by relevancy pruning/SinE    : 0
% 0.19/0.49  # Initial clauses                      : 51
% 0.19/0.49  # Removed in clause preprocessing      : 1
% 0.19/0.49  # Initial clauses in saturation        : 50
% 0.19/0.49  # Processed clauses                    : 90
% 0.19/0.49  # ...of these trivial                  : 0
% 0.19/0.49  # ...subsumed                          : 2
% 0.19/0.49  # ...remaining for further processing  : 88
% 0.19/0.49  # Other redundant clauses eliminated   : 0
% 0.19/0.49  # Clauses deleted for lack of memory   : 0
% 0.19/0.49  # Backward-subsumed                    : 6
% 0.19/0.49  # Backward-rewritten                   : 19
% 0.19/0.49  # Generated clauses                    : 83
% 0.19/0.49  # ...of the previous two non-redundant : 49
% 0.19/0.49  # ...aggressively subsumed             : 0
% 0.19/0.49  # Contextual simplify-reflections      : 5
% 0.19/0.49  # Paramodulations                      : 83
% 0.19/0.49  # Factorizations                       : 0
% 0.19/0.49  # NegExts                              : 0
% 0.19/0.49  # Equation resolutions                 : 0
% 0.19/0.49  # Disequality decompositions           : 0
% 0.19/0.49  # Total rewrite steps                  : 19
% 0.19/0.49  # ...of those cached                   : 17
% 0.19/0.49  # Propositional unsat checks           : 0
% 0.19/0.49  #    Propositional check models        : 0
% 0.19/0.49  #    Propositional check unsatisfiable : 0
% 0.19/0.49  #    Propositional clauses             : 0
% 0.19/0.49  #    Propositional clauses after purity: 0
% 0.19/0.49  #    Propositional unsat core size     : 0
% 0.19/0.49  #    Propositional preprocessing time  : 0.000
% 0.19/0.49  #    Propositional encoding time       : 0.000
% 0.19/0.49  #    Propositional solver time         : 0.000
% 0.19/0.49  #    Success case prop preproc time    : 0.000
% 0.19/0.49  #    Success case prop encoding time   : 0.000
% 0.19/0.49  #    Success case prop solver time     : 0.000
% 0.19/0.49  # Current number of processed clauses  : 63
% 0.19/0.49  #    Positive orientable unit clauses  : 3
% 0.19/0.49  #    Positive unorientable unit clauses: 0
% 0.19/0.49  #    Negative unit clauses             : 1
% 0.19/0.49  #    Non-unit-clauses                  : 59
% 0.19/0.49  # Current number of unprocessed clauses: 0
% 0.19/0.49  # ...number of literals in the above   : 0
% 0.19/0.49  # Current number of archived formulas  : 0
% 0.19/0.49  # Current number of archived clauses   : 26
% 0.19/0.49  # Clause-clause subsumption calls (NU) : 1341
% 0.19/0.49  # Rec. Clause-clause subsumption calls : 940
% 0.19/0.49  # Non-unit clause-clause subsumptions  : 12
% 0.19/0.49  # Unit Clause-clause subsumption calls : 22
% 0.19/0.49  # Rewrite failures with RHS unbound    : 0
% 0.19/0.49  # BW rewrite match attempts            : 2
% 0.19/0.49  # BW rewrite match successes           : 2
% 0.19/0.49  # Condensation attempts                : 90
% 0.19/0.49  # Condensation successes               : 0
% 0.19/0.49  # Termbank termtop insertions          : 3490
% 0.19/0.49  # Search garbage collected termcells   : 740
% 0.19/0.49  
% 0.19/0.49  # -------------------------------------------------
% 0.19/0.49  # User time                : 0.009 s
% 0.19/0.49  # System time              : 0.003 s
% 0.19/0.49  # Total time               : 0.012 s
% 0.19/0.49  # Maximum resident set size: 1804 pages
% 0.19/0.49  
% 0.19/0.49  # -------------------------------------------------
% 0.19/0.49  # User time                : 0.033 s
% 0.19/0.49  # System time              : 0.008 s
% 0.19/0.49  # Total time               : 0.041 s
% 0.19/0.49  # Maximum resident set size: 1712 pages
% 0.19/0.49  % E---3.1 exiting
%------------------------------------------------------------------------------