TSTP Solution File: KRS148+1 by Beagle---0.9.51

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Beagle---0.9.51
% Problem  : KRS148+1 : TPTP v8.1.2. Released v3.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s

% Computer : n022.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Tue Aug 22 10:45:18 EDT 2023

% Result   : Theorem 5.67s 2.33s
% Output   : CNFRefutation 6.17s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   13
%            Number of leaves      :  129
% Syntax   : Number of formulae    :  193 (  35 unt; 122 typ;   0 def)
%            Number of atoms       :  194 (   0 equ)
%            Maximal formula atoms :    8 (   2 avg)
%            Number of connectives :  240 ( 117   ~; 110   |;   9   &)
%                                         (   4 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :  116 ( 115   >;   1   *;   0   +;   0  <<)
%            Number of predicates  :   78 (  77 usr;   1 prp; 0-2 aty)
%            Number of functors    :   45 (  45 usr;   7 con; 0-1 aty)
%            Number of variables   :   15 (;  15   !;   0   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
%$ rR1 > xsd_string > xsd_integer > cowlThing > cowlNothing > cTOP > cTEST > cC98 > cC96 > cC94 > cC92 > cC90 > cC88 > cC86 > cC84 > cC82 > cC80 > cC8 > cC78 > cC76 > cC74 > cC72 > cC70 > cC68 > cC66 > cC64 > cC62 > cC60 > cC6 > cC58 > cC56 > cC54 > cC52 > cC50 > cC48 > cC46 > cC44 > cC42 > cC40 > cC4 > cC38 > cC36 > cC34 > cC32 > cC30 > cC28 > cC26 > cC24 > cC22 > cC20 > cC2 > cC18 > cC16 > cC140 > cC14 > cC138 > cC136 > cC134 > cC132 > cC130 > cC128 > cC126 > cC124 > cC122 > cC120 > cC12 > cC118 > cC116 > cC114 > cC112 > cC110 > cC108 > cC106 > cC104 > cC102 > cC100 > cC10 > #nlpp > iV5478 > iV5476 > iV5475 > #skF_9 > #skF_36 > #skF_25 > #skF_41 > #skF_7 > #skF_5 > #skF_21 > #skF_16 > #skF_2 > #skF_4 > #skF_18 > #skF_24 > #skF_35 > #skF_19 > #skF_1 > #skF_31 > #skF_22 > #skF_37 > #skF_8 > #skF_40 > #skF_34 > #skF_29 > #skF_15 > #skF_32 > #skF_28 > #skF_39 > #skF_10 > #skF_38 > #skF_23 > #skF_33 > #skF_26 > #skF_13 > #skF_42 > #skF_17 > #skF_3 > #skF_11 > #skF_14 > #skF_27 > #skF_12 > #skF_30 > #skF_6 > #skF_20

%Foreground sorts:

%Background operators:

%Foreground operators:
tff(cC104,type,
    cC104: $i > $o ).

tff(cC94,type,
    cC94: $i > $o ).

tff(cC8,type,
    cC8: $i > $o ).

tff(cC70,type,
    cC70: $i > $o ).

tff(cTOP,type,
    cTOP: $i > $o ).

tff('#skF_9',type,
    '#skF_9': $i > $i ).

tff('#skF_36',type,
    '#skF_36': $i > $i ).

tff('#skF_25',type,
    '#skF_25': $i > $i ).

tff('#skF_41',type,
    '#skF_41': $i ).

tff('#skF_7',type,
    '#skF_7': $i > $i ).

tff('#skF_5',type,
    '#skF_5': $i > $i ).

tff('#skF_21',type,
    '#skF_21': $i > $i ).

tff(cC14,type,
    cC14: $i > $o ).

tff(cC100,type,
    cC100: $i > $o ).

tff('#skF_16',type,
    '#skF_16': $i > $i ).

tff(cC130,type,
    cC130: $i > $o ).

tff('#skF_2',type,
    '#skF_2': $i > $i ).

tff('#skF_4',type,
    '#skF_4': $i > $i ).

tff('#skF_18',type,
    '#skF_18': $i > $i ).

tff(cC88,type,
    cC88: $i > $o ).

tff(cC22,type,
    cC22: $i > $o ).

tff('#skF_24',type,
    '#skF_24': $i > $i ).

tff(cC112,type,
    cC112: $i > $o ).

tff(iV5476,type,
    iV5476: $i ).

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

tff(cC34,type,
    cC34: $i > $o ).

tff('#skF_35',type,
    '#skF_35': $i > $i ).

tff(cC2,type,
    cC2: $i > $o ).

tff('#skF_19',type,
    '#skF_19': $i > $i ).

tff('#skF_1',type,
    '#skF_1': $i > $i ).

tff('#skF_31',type,
    '#skF_31': $i > $i ).

tff(cC52,type,
    cC52: $i > $o ).

tff(cC118,type,
    cC118: $i > $o ).

tff('#skF_22',type,
    '#skF_22': $i > $i ).

tff(cC16,type,
    cC16: $i > $o ).

tff(cC78,type,
    cC78: $i > $o ).

tff('#skF_37',type,
    '#skF_37': $i > $i ).

tff(cC10,type,
    cC10: $i > $o ).

tff(cC108,type,
    cC108: $i > $o ).

tff(iV5478,type,
    iV5478: $i ).

tff('#skF_8',type,
    '#skF_8': $i > $i ).

tff('#skF_40',type,
    '#skF_40': $i ).

tff(cC128,type,
    cC128: $i > $o ).

tff(cC82,type,
    cC82: $i > $o ).

tff(cC72,type,
    cC72: $i > $o ).

tff(cC56,type,
    cC56: $i > $o ).

tff(cC136,type,
    cC136: $i > $o ).

tff(cTEST,type,
    cTEST: $i > $o ).

tff(cC58,type,
    cC58: $i > $o ).

tff(cC12,type,
    cC12: $i > $o ).

tff(cC114,type,
    cC114: $i > $o ).

tff(cC96,type,
    cC96: $i > $o ).

tff(iV5475,type,
    iV5475: $i ).

tff(cC46,type,
    cC46: $i > $o ).

tff('#skF_34',type,
    '#skF_34': $i > $i ).

tff('#skF_29',type,
    '#skF_29': $i > $i ).

tff(cC84,type,
    cC84: $i > $o ).

tff('#skF_15',type,
    '#skF_15': $i > $i ).

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

tff('#skF_32',type,
    '#skF_32': $i > $i ).

tff(cC64,type,
    cC64: $i > $o ).

tff(cC48,type,
    cC48: $i > $o ).

tff(cC38,type,
    cC38: $i > $o ).

tff(cC124,type,
    cC124: $i > $o ).

tff(cC6,type,
    cC6: $i > $o ).

tff(cC106,type,
    cC106: $i > $o ).

tff(cC18,type,
    cC18: $i > $o ).

tff('#skF_28',type,
    '#skF_28': $i > $i ).

tff('#skF_39',type,
    '#skF_39': $i ).

tff('#skF_10',type,
    '#skF_10': $i > $i ).

tff('#skF_38',type,
    '#skF_38': $i > $i ).

tff(cC42,type,
    cC42: $i > $o ).

tff(cC60,type,
    cC60: $i > $o ).

tff(cC92,type,
    cC92: $i > $o ).

tff(cC68,type,
    cC68: $i > $o ).

tff(cC62,type,
    cC62: $i > $o ).

tff(cC80,type,
    cC80: $i > $o ).

tff(cC98,type,
    cC98: $i > $o ).

tff('#skF_23',type,
    '#skF_23': $i > $i ).

tff(cC40,type,
    cC40: $i > $o ).

tff('#skF_33',type,
    '#skF_33': $i > $i ).

tff(cC54,type,
    cC54: $i > $o ).

tff('#skF_26',type,
    '#skF_26': $i > $i ).

tff(rR1,type,
    rR1: ( $i * $i ) > $o ).

tff(cC76,type,
    cC76: $i > $o ).

tff('#skF_13',type,
    '#skF_13': $i > $i ).

tff('#skF_42',type,
    '#skF_42': $i ).

tff(cC28,type,
    cC28: $i > $o ).

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

tff(cC74,type,
    cC74: $i > $o ).

tff(cC86,type,
    cC86: $i > $o ).

tff(cC50,type,
    cC50: $i > $o ).

tff(cC32,type,
    cC32: $i > $o ).

tff('#skF_17',type,
    '#skF_17': $i > $i ).

tff('#skF_3',type,
    '#skF_3': $i > $i ).

tff('#skF_11',type,
    '#skF_11': $i > $i ).

tff(cC116,type,
    cC116: $i > $o ).

tff(cC36,type,
    cC36: $i > $o ).

tff(cC110,type,
    cC110: $i > $o ).

tff('#skF_14',type,
    '#skF_14': $i > $i ).

tff(cC120,type,
    cC120: $i > $o ).

tff(cC44,type,
    cC44: $i > $o ).

tff(cC126,type,
    cC126: $i > $o ).

tff(cC66,type,
    cC66: $i > $o ).

tff(cC4,type,
    cC4: $i > $o ).

tff(cC134,type,
    cC134: $i > $o ).

tff('#skF_27',type,
    '#skF_27': $i > $i ).

tff(cC20,type,
    cC20: $i > $o ).

tff('#skF_12',type,
    '#skF_12': $i > $i ).

tff(cC122,type,
    cC122: $i > $o ).

tff(cC138,type,
    cC138: $i > $o ).

tff(cC132,type,
    cC132: $i > $o ).

tff(cC30,type,
    cC30: $i > $o ).

tff(cC90,type,
    cC90: $i > $o ).

tff(cC140,type,
    cC140: $i > $o ).

tff(cC24,type,
    cC24: $i > $o ).

tff(cC26,type,
    cC26: $i > $o ).

tff('#skF_30',type,
    '#skF_30': $i > $i ).

tff('#skF_6',type,
    '#skF_6': $i > $i ).

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

tff('#skF_20',type,
    '#skF_20': $i > $i ).

tff(cC102,type,
    cC102: $i > $o ).

tff(f_33,axiom,
    ! [X] :
      ( cowlThing(X)
      & ~ cowlNothing(X) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_0) ).

tff(f_614,axiom,
    cowlThing(iV5475),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_74) ).

tff(f_688,negated_conjecture,
    ~ ( ! [X] :
          ( cowlThing(X)
          & ~ cowlNothing(X) )
      & ! [X] :
          ( xsd_string(X)
        <=> ~ xsd_integer(X) )
      & cC138(iV5475)
      & cowlThing(iV5475)
      & cC116(iV5475)
      & cC140(iV5475) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',the_axiom) ).

tff(f_610,axiom,
    cTEST(iV5475),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_72) ).

tff(f_608,axiom,
    ! [X] :
      ( cTEST(X)
    <=> ( cC140(X)
        & cC116(X) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_71) ).

tff(f_235,axiom,
    ! [X] :
      ( cC140(X)
    <=> ( cTOP(X)
        & cC138(X) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_25) ).

tff(f_39,axiom,
    ! [X] :
      ( xsd_string(X)
    <=> ~ xsd_integer(X) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_1) ).

tff(c_2,plain,
    ! [X_1] : cowlThing(X_1),
    inference(cnfTransformation,[status(thm)],[f_33]) ).

tff(c_4,plain,
    ! [X_1] : ~ cowlNothing(X_1),
    inference(cnfTransformation,[status(thm)],[f_33]) ).

tff(c_434,plain,
    cowlThing(iV5475),
    inference(cnfTransformation,[status(thm)],[f_614]) ).

tff(c_470,plain,
    ( ~ xsd_integer('#skF_41')
    | xsd_string('#skF_42')
    | ~ cC140(iV5475)
    | ~ cC116(iV5475)
    | ~ cowlThing(iV5475)
    | ~ cC138(iV5475)
    | ~ cowlThing('#skF_40')
    | cowlNothing('#skF_39') ),
    inference(cnfTransformation,[status(thm)],[f_688]) ).

tff(c_478,plain,
    ( ~ xsd_integer('#skF_41')
    | xsd_string('#skF_42')
    | ~ cC140(iV5475)
    | ~ cC116(iV5475)
    | ~ cC138(iV5475)
    | ~ cowlThing('#skF_40')
    | cowlNothing('#skF_39') ),
    inference(demodulation,[status(thm),theory(equality)],[c_434,c_470]) ).

tff(c_482,plain,
    ( ~ xsd_integer('#skF_41')
    | xsd_string('#skF_42')
    | ~ cC140(iV5475)
    | ~ cC116(iV5475)
    | ~ cC138(iV5475)
    | ~ cowlThing('#skF_40') ),
    inference(negUnitSimplification,[status(thm)],[c_4,c_478]) ).

tff(c_493,plain,
    ( ~ xsd_integer('#skF_41')
    | xsd_string('#skF_42')
    | ~ cC140(iV5475)
    | ~ cC116(iV5475)
    | ~ cC138(iV5475) ),
    inference(demodulation,[status(thm),theory(equality)],[c_2,c_482]) ).

tff(c_496,plain,
    ~ cC138(iV5475),
    inference(splitLeft,[status(thm)],[c_493]) ).

tff(c_430,plain,
    cTEST(iV5475),
    inference(cnfTransformation,[status(thm)],[f_610]) ).

tff(c_515,plain,
    ! [X_207] :
      ( cC140(X_207)
      | ~ cTEST(X_207) ),
    inference(cnfTransformation,[status(thm)],[f_608]) ).

tff(c_519,plain,
    cC140(iV5475),
    inference(resolution,[status(thm)],[c_430,c_515]) ).

tff(c_150,plain,
    ! [X_65] :
      ( cC138(X_65)
      | ~ cC140(X_65) ),
    inference(cnfTransformation,[status(thm)],[f_235]) ).

tff(c_522,plain,
    cC138(iV5475),
    inference(resolution,[status(thm)],[c_519,c_150]) ).

tff(c_526,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_496,c_522]) ).

tff(c_528,plain,
    cC138(iV5475),
    inference(splitRight,[status(thm)],[c_493]) ).

tff(c_468,plain,
    ( ~ xsd_string('#skF_41')
    | xsd_string('#skF_42')
    | ~ cC140(iV5475)
    | ~ cC116(iV5475)
    | ~ cowlThing(iV5475)
    | ~ cC138(iV5475)
    | ~ cowlThing('#skF_40')
    | cowlNothing('#skF_39') ),
    inference(cnfTransformation,[status(thm)],[f_688]) ).

tff(c_472,plain,
    ( ~ xsd_string('#skF_41')
    | xsd_string('#skF_42')
    | ~ cC140(iV5475)
    | ~ cC116(iV5475)
    | ~ cC138(iV5475)
    | ~ cowlThing('#skF_40')
    | cowlNothing('#skF_39') ),
    inference(demodulation,[status(thm),theory(equality)],[c_434,c_468]) ).

tff(c_479,plain,
    ( ~ xsd_string('#skF_41')
    | xsd_string('#skF_42')
    | ~ cC140(iV5475)
    | ~ cC116(iV5475)
    | ~ cC138(iV5475)
    | ~ cowlThing('#skF_40') ),
    inference(negUnitSimplification,[status(thm)],[c_4,c_472]) ).

tff(c_487,plain,
    ( ~ xsd_string('#skF_41')
    | xsd_string('#skF_42')
    | ~ cC140(iV5475)
    | ~ cC116(iV5475)
    | ~ cC138(iV5475) ),
    inference(demodulation,[status(thm),theory(equality)],[c_2,c_479]) ).

tff(c_532,plain,
    ( ~ xsd_string('#skF_41')
    | xsd_string('#skF_42')
    | ~ cC140(iV5475)
    | ~ cC116(iV5475) ),
    inference(demodulation,[status(thm),theory(equality)],[c_528,c_487]) ).

tff(c_533,plain,
    ~ cC116(iV5475),
    inference(splitLeft,[status(thm)],[c_532]) ).

tff(c_584,plain,
    ! [X_238] :
      ( cC116(X_238)
      | ~ cTEST(X_238) ),
    inference(cnfTransformation,[status(thm)],[f_608]) ).

tff(c_587,plain,
    cC116(iV5475),
    inference(resolution,[status(thm)],[c_430,c_584]) ).

tff(c_591,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_533,c_587]) ).

tff(c_593,plain,
    cC116(iV5475),
    inference(splitRight,[status(thm)],[c_532]) ).

tff(c_466,plain,
    ( ~ xsd_integer('#skF_41')
    | xsd_integer('#skF_42')
    | ~ cC140(iV5475)
    | ~ cC116(iV5475)
    | ~ cowlThing(iV5475)
    | ~ cC138(iV5475)
    | ~ cowlThing('#skF_40')
    | cowlNothing('#skF_39') ),
    inference(cnfTransformation,[status(thm)],[f_688]) ).

tff(c_474,plain,
    ( ~ xsd_integer('#skF_41')
    | xsd_integer('#skF_42')
    | ~ cC140(iV5475)
    | ~ cC116(iV5475)
    | ~ cC138(iV5475)
    | ~ cowlThing('#skF_40')
    | cowlNothing('#skF_39') ),
    inference(demodulation,[status(thm),theory(equality)],[c_434,c_466]) ).

tff(c_480,plain,
    ( ~ xsd_integer('#skF_41')
    | xsd_integer('#skF_42')
    | ~ cC140(iV5475)
    | ~ cC116(iV5475)
    | ~ cC138(iV5475)
    | ~ cowlThing('#skF_40') ),
    inference(negUnitSimplification,[status(thm)],[c_4,c_474]) ).

tff(c_489,plain,
    ( ~ xsd_integer('#skF_41')
    | xsd_integer('#skF_42')
    | ~ cC140(iV5475)
    | ~ cC116(iV5475)
    | ~ cC138(iV5475) ),
    inference(demodulation,[status(thm),theory(equality)],[c_2,c_480]) ).

tff(c_598,plain,
    ( ~ xsd_integer('#skF_41')
    | xsd_integer('#skF_42')
    | ~ cC140(iV5475) ),
    inference(demodulation,[status(thm),theory(equality)],[c_528,c_593,c_489]) ).

tff(c_599,plain,
    ~ cC140(iV5475),
    inference(splitLeft,[status(thm)],[c_598]) ).

tff(c_655,plain,
    ! [X_276] :
      ( cC140(X_276)
      | ~ cTEST(X_276) ),
    inference(cnfTransformation,[status(thm)],[f_608]) ).

tff(c_658,plain,
    cC140(iV5475),
    inference(resolution,[status(thm)],[c_430,c_655]) ).

tff(c_662,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_599,c_658]) ).

tff(c_664,plain,
    cC140(iV5475),
    inference(splitRight,[status(thm)],[c_598]) ).

tff(c_527,plain,
    ( ~ cC116(iV5475)
    | ~ cC140(iV5475)
    | ~ xsd_integer('#skF_41')
    | xsd_string('#skF_42') ),
    inference(splitRight,[status(thm)],[c_493]) ).

tff(c_678,plain,
    ( ~ xsd_integer('#skF_41')
    | xsd_string('#skF_42') ),
    inference(demodulation,[status(thm),theory(equality)],[c_664,c_593,c_527]) ).

tff(c_679,plain,
    ~ xsd_integer('#skF_41'),
    inference(splitLeft,[status(thm)],[c_678]) ).

tff(c_682,plain,
    ! [X_282] :
      ( xsd_string(X_282)
      | xsd_integer(X_282) ),
    inference(cnfTransformation,[status(thm)],[f_39]) ).

tff(c_464,plain,
    ( ~ xsd_string('#skF_41')
    | xsd_integer('#skF_42')
    | ~ cC140(iV5475)
    | ~ cC116(iV5475)
    | ~ cowlThing(iV5475)
    | ~ cC138(iV5475)
    | ~ cowlThing('#skF_40')
    | cowlNothing('#skF_39') ),
    inference(cnfTransformation,[status(thm)],[f_688]) ).

tff(c_476,plain,
    ( ~ xsd_string('#skF_41')
    | xsd_integer('#skF_42')
    | ~ cC140(iV5475)
    | ~ cC116(iV5475)
    | ~ cC138(iV5475)
    | ~ cowlThing('#skF_40')
    | cowlNothing('#skF_39') ),
    inference(demodulation,[status(thm),theory(equality)],[c_434,c_464]) ).

tff(c_481,plain,
    ( ~ xsd_string('#skF_41')
    | xsd_integer('#skF_42')
    | ~ cC140(iV5475)
    | ~ cC116(iV5475)
    | ~ cC138(iV5475)
    | ~ cowlThing('#skF_40') ),
    inference(negUnitSimplification,[status(thm)],[c_4,c_476]) ).

tff(c_491,plain,
    ( ~ xsd_string('#skF_41')
    | xsd_integer('#skF_42')
    | ~ cC140(iV5475)
    | ~ cC116(iV5475)
    | ~ cC138(iV5475) ),
    inference(demodulation,[status(thm),theory(equality)],[c_2,c_481]) ).

tff(c_666,plain,
    ( ~ xsd_string('#skF_41')
    | xsd_integer('#skF_42')
    | ~ cC140(iV5475) ),
    inference(demodulation,[status(thm),theory(equality)],[c_528,c_593,c_491]) ).

tff(c_667,plain,
    ~ cC140(iV5475),
    inference(splitLeft,[status(thm)],[c_666]) ).

tff(c_669,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_664,c_667]) ).

tff(c_670,plain,
    ( ~ xsd_string('#skF_41')
    | xsd_integer('#skF_42') ),
    inference(splitRight,[status(thm)],[c_666]) ).

tff(c_675,plain,
    ~ xsd_string('#skF_41'),
    inference(splitLeft,[status(thm)],[c_670]) ).

tff(c_685,plain,
    xsd_integer('#skF_41'),
    inference(resolution,[status(thm)],[c_682,c_675]) ).

tff(c_689,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_679,c_685]) ).

tff(c_691,plain,
    xsd_integer('#skF_41'),
    inference(splitRight,[status(thm)],[c_678]) ).

tff(c_663,plain,
    ( ~ xsd_integer('#skF_41')
    | xsd_integer('#skF_42') ),
    inference(splitRight,[status(thm)],[c_598]) ).

tff(c_696,plain,
    xsd_integer('#skF_42'),
    inference(demodulation,[status(thm),theory(equality)],[c_691,c_663]) ).

tff(c_690,plain,
    xsd_string('#skF_42'),
    inference(splitRight,[status(thm)],[c_678]) ).

tff(c_747,plain,
    ! [X_311] :
      ( ~ xsd_integer(X_311)
      | ~ xsd_string(X_311) ),
    inference(cnfTransformation,[status(thm)],[f_39]) ).

tff(c_753,plain,
    ~ xsd_integer('#skF_42'),
    inference(resolution,[status(thm)],[c_690,c_747]) ).

tff(c_758,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_696,c_753]) ).

tff(c_759,plain,
    xsd_integer('#skF_42'),
    inference(splitRight,[status(thm)],[c_670]) ).

tff(c_760,plain,
    xsd_string('#skF_41'),
    inference(splitRight,[status(thm)],[c_670]) ).

tff(c_592,plain,
    ( ~ cC140(iV5475)
    | ~ xsd_string('#skF_41')
    | xsd_string('#skF_42') ),
    inference(splitRight,[status(thm)],[c_532]) ).

tff(c_788,plain,
    xsd_string('#skF_42'),
    inference(demodulation,[status(thm),theory(equality)],[c_760,c_664,c_592]) ).

tff(c_789,plain,
    ! [X_329] :
      ( ~ xsd_integer(X_329)
      | ~ xsd_string(X_329) ),
    inference(cnfTransformation,[status(thm)],[f_39]) ).

tff(c_792,plain,
    ~ xsd_integer('#skF_42'),
    inference(resolution,[status(thm)],[c_788,c_789]) ).

tff(c_802,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_759,c_792]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : KRS148+1 : TPTP v8.1.2. Released v3.1.0.
% 0.00/0.13  % Command  : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% 0.13/0.34  % Computer : n022.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  : 300
% 0.13/0.34  % DateTime : Thu Aug  3 20:00:48 EDT 2023
% 0.13/0.35  % CPUTime  : 
% 5.67/2.33  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 5.67/2.34  
% 5.67/2.34  % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 6.17/2.38  
% 6.17/2.38  Inference rules
% 6.17/2.38  ----------------------
% 6.17/2.38  #Ref     : 0
% 6.17/2.38  #Sup     : 25
% 6.17/2.38  #Fact    : 0
% 6.17/2.38  #Define  : 0
% 6.17/2.38  #Split   : 7
% 6.17/2.38  #Chain   : 0
% 6.17/2.38  #Close   : 0
% 6.17/2.38  
% 6.17/2.38  Ordering : KBO
% 6.17/2.38  
% 6.17/2.38  Simplification rules
% 6.17/2.38  ----------------------
% 6.17/2.38  #Subsume      : 10
% 6.17/2.38  #Demod        : 42
% 6.17/2.38  #Tautology    : 12
% 6.17/2.38  #SimpNegUnit  : 8
% 6.17/2.38  #BackRed      : 0
% 6.17/2.38  
% 6.17/2.38  #Partial instantiations: 0
% 6.17/2.38  #Strategies tried      : 1
% 6.17/2.38  
% 6.17/2.38  Timing (in seconds)
% 6.17/2.38  ----------------------
% 6.17/2.38  Preprocessing        : 0.72
% 6.17/2.38  Parsing              : 0.36
% 6.17/2.38  CNF conversion       : 0.08
% 6.17/2.38  Main loop            : 0.58
% 6.17/2.38  Inferencing          : 0.18
% 6.17/2.38  Reduction            : 0.18
% 6.17/2.38  Demodulation         : 0.11
% 6.17/2.38  BG Simplification    : 0.07
% 6.17/2.38  Subsumption          : 0.11
% 6.17/2.38  Abstraction          : 0.02
% 6.17/2.38  MUC search           : 0.00
% 6.17/2.38  Cooper               : 0.00
% 6.17/2.38  Total                : 1.36
% 6.17/2.38  Index Insertion      : 0.00
% 6.17/2.38  Index Deletion       : 0.00
% 6.17/2.38  Index Matching       : 0.00
% 6.17/2.38  BG Taut test         : 0.00
%------------------------------------------------------------------------------