TSTP Solution File: SWC014-1 by Beagle---0.9.51

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Beagle---0.9.51
% Problem  : SWC014-1 : TPTP v8.1.2. Released v2.4.0.
% 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 : n011.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 11:00:44 EDT 2023

% Result   : Unsatisfiable 20.13s 7.57s
% Output   : CNFRefutation 20.13s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :   95
% Syntax   : Number of formulae    :  167 (  44 unt;  74 typ;   0 def)
%            Number of atoms       :  184 (  70 equ)
%            Maximal formula atoms :    7 (   1 avg)
%            Number of connectives :  194 ( 103   ~;  91   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   3 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   82 (  65   >;  17   *;   0   +;   0  <<)
%            Number of predicates  :   21 (  19 usr;   1 prp; 0-2 aty)
%            Number of functors    :   55 (  55 usr;   9 con; 0-2 aty)
%            Number of variables   :   41 (;  41   !;   0   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
%$ segmentP > rearsegP > neq > memberP > lt > leq > gt > geq > frontsegP > totalorderedP > totalorderP > strictorderedP > strictorderP > ssList > ssItem > singletonP > equalelemsP > duplicatefreeP > cyclefreeP > skaf48 > skaf47 > skaf46 > skaf45 > skaf43 > skaf42 > cons > app > #nlpp > tl > skaf83 > skaf82 > skaf81 > skaf80 > skaf79 > skaf78 > skaf77 > skaf76 > skaf75 > skaf74 > skaf73 > skaf72 > skaf71 > skaf70 > skaf69 > skaf68 > skaf67 > skaf66 > skaf65 > skaf64 > skaf63 > skaf62 > skaf61 > skaf60 > skaf59 > skaf58 > skaf57 > skaf56 > skaf55 > skaf54 > skaf53 > skaf52 > skaf51 > skaf50 > skaf49 > skaf44 > hd > skac3 > skac2 > sk6 > sk5 > sk4 > sk3 > sk2 > sk1 > nil

%Foreground sorts:

%Background operators:

%Foreground operators:
tff(skaf56,type,
    skaf56: $i > $i ).

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

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

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

tff(skaf74,type,
    skaf74: $i > $i ).

tff(skaf61,type,
    skaf61: $i > $i ).

tff(skaf51,type,
    skaf51: $i > $i ).

tff(skaf83,type,
    skaf83: $i > $i ).

tff(skac2,type,
    skac2: $i ).

tff(skaf63,type,
    skaf63: $i > $i ).

tff(skaf62,type,
    skaf62: $i > $i ).

tff(sk2,type,
    sk2: $i ).

tff(skaf52,type,
    skaf52: $i > $i ).

tff(skaf50,type,
    skaf50: $i > $i ).

tff(skaf42,type,
    skaf42: ( $i * $i ) > $i ).

tff(skaf44,type,
    skaf44: $i > $i ).

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

tff(skaf67,type,
    skaf67: $i > $i ).

tff(skaf75,type,
    skaf75: $i > $i ).

tff(sk1,type,
    sk1: $i ).

tff(skaf58,type,
    skaf58: $i > $i ).

tff(skaf46,type,
    skaf46: ( $i * $i ) > $i ).

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

tff(skaf70,type,
    skaf70: $i > $i ).

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

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

tff(sk6,type,
    sk6: $i ).

tff(skaf82,type,
    skaf82: $i > $i ).

tff(skaf47,type,
    skaf47: ( $i * $i ) > $i ).

tff(skaf76,type,
    skaf76: $i > $i ).

tff(skac3,type,
    skac3: $i ).

tff(skaf80,type,
    skaf80: $i > $i ).

tff(skaf59,type,
    skaf59: $i > $i ).

tff(skaf53,type,
    skaf53: $i > $i ).

tff(skaf45,type,
    skaf45: ( $i * $i ) > $i ).

tff(hd,type,
    hd: $i > $i ).

tff(app,type,
    app: ( $i * $i ) > $i ).

tff(skaf72,type,
    skaf72: $i > $i ).

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

tff(skaf64,type,
    skaf64: $i > $i ).

tff(sk4,type,
    sk4: $i ).

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

tff(skaf71,type,
    skaf71: $i > $i ).

tff(skaf78,type,
    skaf78: $i > $i ).

tff(sk5,type,
    sk5: $i ).

tff(skaf79,type,
    skaf79: $i > $i ).

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

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

tff(skaf73,type,
    skaf73: $i > $i ).

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

tff(cons,type,
    cons: ( $i * $i ) > $i ).

tff(skaf54,type,
    skaf54: $i > $i ).

tff(skaf77,type,
    skaf77: $i > $i ).

tff(sk3,type,
    sk3: $i ).

tff(skaf66,type,
    skaf66: $i > $i ).

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

tff(skaf81,type,
    skaf81: $i > $i ).

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

tff(skaf60,type,
    skaf60: $i > $i ).

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

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

tff(skaf69,type,
    skaf69: $i > $i ).

tff(tl,type,
    tl: $i > $i ).

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

tff(skaf43,type,
    skaf43: ( $i * $i ) > $i ).

tff(skaf48,type,
    skaf48: ( $i * $i ) > $i ).

tff(skaf65,type,
    skaf65: $i > $i ).

tff(skaf57,type,
    skaf57: $i > $i ).

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

tff(skaf49,type,
    skaf49: $i > $i ).

tff(skaf55,type,
    skaf55: $i > $i ).

tff(skaf68,type,
    skaf68: $i > $i ).

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

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

tff(f_1653,axiom,
    ( neq(sk2,nil)
    | neq(sk2,nil) ),
    file(unknown,unknown) ).

tff(f_1649,axiom,
    sk2 = sk4,
    file(unknown,unknown) ).

tff(f_1650,axiom,
    sk1 = sk3,
    file(unknown,unknown) ).

tff(f_1722,axiom,
    ( ( cons(sk5,nil) = sk3 )
    | ~ neq(sk4,nil) ),
    file(unknown,unknown) ).

tff(f_1726,axiom,
    ( ( app(cons(sk5,nil),sk6) = sk4 )
    | ~ neq(sk4,nil) ),
    file(unknown,unknown) ).

tff(f_1718,axiom,
    ( ssList(sk6)
    | ~ neq(sk4,nil) ),
    file(unknown,unknown) ).

tff(f_1714,axiom,
    ( ssItem(sk5)
    | ~ neq(sk4,nil) ),
    file(unknown,unknown) ).

tff(f_56,axiom,
    ssList(nil),
    file(unknown,unknown) ).

tff(f_437,axiom,
    ! [U,V] :
      ( ( cons(U,V) != nil )
      | ~ ssItem(U)
      | ~ ssList(V) ),
    file(unknown,unknown) ).

tff(f_1647,axiom,
    ssList(sk3),
    file(unknown,unknown) ).

tff(f_647,axiom,
    ! [U,V] :
      ( ( app(U,V) != nil )
      | ~ ssList(V)
      | ~ ssList(U)
      | ( nil = U ) ),
    file(unknown,unknown) ).

tff(f_1648,axiom,
    ssList(sk4),
    file(unknown,unknown) ).

tff(f_271,axiom,
    ! [U] :
      ( ~ ssList(U)
      | ssList(tl(U))
      | ( nil = U ) ),
    file(unknown,unknown) ).

tff(f_62,axiom,
    ! [U] : ssItem(skaf83(U)),
    file(unknown,unknown) ).

tff(f_64,axiom,
    ! [U] : ssList(skaf82(U)),
    file(unknown,unknown) ).

tff(f_543,axiom,
    ! [U] :
      ( ~ ssList(U)
      | ( cons(skaf83(U),skaf82(U)) = U )
      | ( nil = U ) ),
    file(unknown,unknown) ).

tff(f_420,axiom,
    ! [U,V] :
      ( ~ ssItem(U)
      | ~ ssList(V)
      | ( tl(cons(U,V)) = V ) ),
    file(unknown,unknown) ).

tff(f_666,axiom,
    ! [U,V] :
      ( ~ ssItem(U)
      | ~ ssList(V)
      | ( app(cons(U,nil),V) = cons(U,V) ) ),
    file(unknown,unknown) ).

tff(f_456,axiom,
    ! [U,V] :
      ( ~ ssList(U)
      | ~ ssList(V)
      | neq(V,U)
      | ( V = U ) ),
    file(unknown,unknown) ).

tff(f_334,axiom,
    ! [U,V] :
      ( ~ ssList(U)
      | ~ ssList(V)
      | ssList(app(V,U)) ),
    file(unknown,unknown) ).

tff(f_1710,axiom,
    ! [A,B] :
      ( ~ ssList(A)
      | ( sk2 != A )
      | ~ ssList(B)
      | ( tl(sk2) != B )
      | ( app(sk1,B) != A )
      | ~ neq(nil,sk2)
      | ~ neq(sk4,nil) ),
    file(unknown,unknown) ).

tff(c_384,plain,
    neq(sk2,nil),
    inference(cnfTransformation,[status(thm)],[f_1653]) ).

tff(c_380,plain,
    sk4 = sk2,
    inference(cnfTransformation,[status(thm)],[f_1649]) ).

tff(c_382,plain,
    sk3 = sk1,
    inference(cnfTransformation,[status(thm)],[f_1650]) ).

tff(c_404,plain,
    ( ~ neq(sk4,nil)
    | ( cons(sk5,nil) = sk3 ) ),
    inference(cnfTransformation,[status(thm)],[f_1722]) ).

tff(c_413,plain,
    ( ~ neq(sk4,nil)
    | ( cons(sk5,nil) = sk1 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_382,c_404]) ).

tff(c_418,plain,
    ( ~ neq(sk2,nil)
    | ( cons(sk5,nil) = sk1 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_380,c_413]) ).

tff(c_428,plain,
    cons(sk5,nil) = sk1,
    inference(demodulation,[status(thm),theory(equality)],[c_384,c_418]) ).

tff(c_406,plain,
    ( ~ neq(sk4,nil)
    | ( app(cons(sk5,nil),sk6) = sk4 ) ),
    inference(cnfTransformation,[status(thm)],[f_1726]) ).

tff(c_415,plain,
    ( ~ neq(sk2,nil)
    | ( app(cons(sk5,nil),sk6) = sk2 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_380,c_380,c_406]) ).

tff(c_422,plain,
    app(cons(sk5,nil),sk6) = sk2,
    inference(demodulation,[status(thm),theory(equality)],[c_384,c_415]) ).

tff(c_429,plain,
    app(sk1,sk6) = sk2,
    inference(demodulation,[status(thm),theory(equality)],[c_428,c_422]) ).

tff(c_402,plain,
    ( ~ neq(sk4,nil)
    | ssList(sk6) ),
    inference(cnfTransformation,[status(thm)],[f_1718]) ).

tff(c_417,plain,
    ( ~ neq(sk2,nil)
    | ssList(sk6) ),
    inference(demodulation,[status(thm),theory(equality)],[c_380,c_402]) ).

tff(c_426,plain,
    ssList(sk6),
    inference(demodulation,[status(thm),theory(equality)],[c_384,c_417]) ).

tff(c_400,plain,
    ( ~ neq(sk4,nil)
    | ssItem(sk5) ),
    inference(cnfTransformation,[status(thm)],[f_1714]) ).

tff(c_414,plain,
    ( ~ neq(sk2,nil)
    | ssItem(sk5) ),
    inference(demodulation,[status(thm),theory(equality)],[c_380,c_400]) ).

tff(c_420,plain,
    ssItem(sk5),
    inference(demodulation,[status(thm),theory(equality)],[c_384,c_414]) ).

tff(c_16,plain,
    ssList(nil),
    inference(cnfTransformation,[status(thm)],[f_56]) ).

tff(c_1143,plain,
    ! [V_450,U_451] :
      ( ~ ssList(V_450)
      | ~ ssItem(U_451)
      | ( cons(U_451,V_450) != nil ) ),
    inference(cnfTransformation,[status(thm)],[f_437]) ).

tff(c_2927,plain,
    ! [U_570] :
      ( ~ ssItem(U_570)
      | ( cons(U_570,nil) != nil ) ),
    inference(resolution,[status(thm)],[c_16,c_1143]) ).

tff(c_2984,plain,
    cons(sk5,nil) != nil,
    inference(resolution,[status(thm)],[c_420,c_2927]) ).

tff(c_3004,plain,
    sk1 != nil,
    inference(demodulation,[status(thm),theory(equality)],[c_428,c_2984]) ).

tff(c_376,plain,
    ssList(sk3),
    inference(cnfTransformation,[status(thm)],[f_1647]) ).

tff(c_431,plain,
    ssList(sk1),
    inference(demodulation,[status(thm),theory(equality)],[c_382,c_376]) ).

tff(c_3063,plain,
    ! [U_583,V_584] :
      ( ( nil = U_583 )
      | ~ ssList(U_583)
      | ~ ssList(V_584)
      | ( app(U_583,V_584) != nil ) ),
    inference(cnfTransformation,[status(thm)],[f_647]) ).

tff(c_3129,plain,
    ! [V_584] :
      ( ( sk1 = nil )
      | ~ ssList(V_584)
      | ( app(sk1,V_584) != nil ) ),
    inference(resolution,[status(thm)],[c_431,c_3063]) ).

tff(c_3193,plain,
    ! [V_592] :
      ( ~ ssList(V_592)
      | ( app(sk1,V_592) != nil ) ),
    inference(negUnitSimplification,[status(thm)],[c_3004,c_3129]) ).

tff(c_3289,plain,
    app(sk1,sk6) != nil,
    inference(resolution,[status(thm)],[c_426,c_3193]) ).

tff(c_3329,plain,
    sk2 != nil,
    inference(demodulation,[status(thm),theory(equality)],[c_429,c_3289]) ).

tff(c_378,plain,
    ssList(sk4),
    inference(cnfTransformation,[status(thm)],[f_1648]) ).

tff(c_430,plain,
    ssList(sk2),
    inference(demodulation,[status(thm),theory(equality)],[c_380,c_378]) ).

tff(c_154,plain,
    ! [U_72] :
      ( ( nil = U_72 )
      | ssList(tl(U_72))
      | ~ ssList(U_72) ),
    inference(cnfTransformation,[status(thm)],[f_271]) ).

tff(c_24,plain,
    ! [U_1] : ssItem(skaf83(U_1)),
    inference(cnfTransformation,[status(thm)],[f_62]) ).

tff(c_26,plain,
    ! [U_2] : ssList(skaf82(U_2)),
    inference(cnfTransformation,[status(thm)],[f_64]) ).

tff(c_2404,plain,
    ! [U_544] :
      ( ( nil = U_544 )
      | ( cons(skaf83(U_544),skaf82(U_544)) = U_544 )
      | ~ ssList(U_544) ),
    inference(cnfTransformation,[status(thm)],[f_543]) ).

tff(c_192,plain,
    ! [U_93,V_94] :
      ( ( tl(cons(U_93,V_94)) = V_94 )
      | ~ ssList(V_94)
      | ~ ssItem(U_93) ),
    inference(cnfTransformation,[status(thm)],[f_420]) ).

tff(c_2413,plain,
    ! [U_544] :
      ( ( tl(U_544) = skaf82(U_544) )
      | ~ ssList(skaf82(U_544))
      | ~ ssItem(skaf83(U_544))
      | ( nil = U_544 )
      | ~ ssList(U_544) ),
    inference(superposition,[status(thm),theory(equality)],[c_2404,c_192]) ).

tff(c_13016,plain,
    ! [U_1185] :
      ( ( tl(U_1185) = skaf82(U_1185) )
      | ( nil = U_1185 )
      | ~ ssList(U_1185) ),
    inference(demodulation,[status(thm),theory(equality)],[c_24,c_26,c_2413]) ).

tff(c_13124,plain,
    ( ( tl(sk2) = skaf82(sk2) )
    | ( sk2 = nil ) ),
    inference(resolution,[status(thm)],[c_430,c_13016]) ).

tff(c_13167,plain,
    tl(sk2) = skaf82(sk2),
    inference(negUnitSimplification,[status(thm)],[c_3329,c_13124]) ).

tff(c_3734,plain,
    ! [U_617,V_618] :
      ( ( app(cons(U_617,nil),V_618) = cons(U_617,V_618) )
      | ~ ssList(V_618)
      | ~ ssItem(U_617) ),
    inference(cnfTransformation,[status(thm)],[f_666]) ).

tff(c_3752,plain,
    ! [V_618] :
      ( ( cons(sk5,V_618) = app(sk1,V_618) )
      | ~ ssList(V_618)
      | ~ ssItem(sk5) ),
    inference(superposition,[status(thm),theory(equality)],[c_428,c_3734]) ).

tff(c_15408,plain,
    ! [V_1301] :
      ( ( cons(sk5,V_1301) = app(sk1,V_1301) )
      | ~ ssList(V_1301) ),
    inference(demodulation,[status(thm),theory(equality)],[c_420,c_3752]) ).

tff(c_15507,plain,
    cons(sk5,sk6) = app(sk1,sk6),
    inference(resolution,[status(thm)],[c_426,c_15408]) ).

tff(c_15548,plain,
    cons(sk5,sk6) = sk2,
    inference(demodulation,[status(thm),theory(equality)],[c_429,c_15507]) ).

tff(c_15632,plain,
    ( ( tl(sk2) = sk6 )
    | ~ ssList(sk6)
    | ~ ssItem(sk5) ),
    inference(superposition,[status(thm),theory(equality)],[c_15548,c_192]) ).

tff(c_15694,plain,
    skaf82(sk2) = sk6,
    inference(demodulation,[status(thm),theory(equality)],[c_420,c_426,c_13167,c_15632]) ).

tff(c_200,plain,
    ! [V_102,U_101] :
      ( ( V_102 = U_101 )
      | neq(V_102,U_101)
      | ~ ssList(V_102)
      | ~ ssList(U_101) ),
    inference(cnfTransformation,[status(thm)],[f_456]) ).

tff(c_170,plain,
    ! [V_81,U_80] :
      ( ssList(app(V_81,U_80))
      | ~ ssList(V_81)
      | ~ ssList(U_80) ),
    inference(cnfTransformation,[status(thm)],[f_334]) ).

tff(c_398,plain,
    ( ~ neq(sk4,nil)
    | ~ neq(nil,sk2)
    | ~ ssList(tl(sk2))
    | ( app(sk1,tl(sk2)) != sk2 )
    | ~ ssList(app(sk1,tl(sk2))) ),
    inference(cnfTransformation,[status(thm)],[f_1710]) ).

tff(c_416,plain,
    ( ~ neq(sk2,nil)
    | ~ neq(nil,sk2)
    | ~ ssList(tl(sk2))
    | ( app(sk1,tl(sk2)) != sk2 )
    | ~ ssList(app(sk1,tl(sk2))) ),
    inference(demodulation,[status(thm),theory(equality)],[c_380,c_398]) ).

tff(c_424,plain,
    ( ~ neq(nil,sk2)
    | ~ ssList(tl(sk2))
    | ( app(sk1,tl(sk2)) != sk2 )
    | ~ ssList(app(sk1,tl(sk2))) ),
    inference(demodulation,[status(thm),theory(equality)],[c_384,c_416]) ).

tff(c_8306,plain,
    ~ ssList(app(sk1,tl(sk2))),
    inference(splitLeft,[status(thm)],[c_424]) ).

tff(c_8309,plain,
    ( ~ ssList(sk1)
    | ~ ssList(tl(sk2)) ),
    inference(resolution,[status(thm)],[c_170,c_8306]) ).

tff(c_8312,plain,
    ~ ssList(tl(sk2)),
    inference(demodulation,[status(thm),theory(equality)],[c_431,c_8309]) ).

tff(c_8315,plain,
    ( ( sk2 = nil )
    | ~ ssList(sk2) ),
    inference(resolution,[status(thm)],[c_154,c_8312]) ).

tff(c_8318,plain,
    sk2 = nil,
    inference(demodulation,[status(thm),theory(equality)],[c_430,c_8315]) ).

tff(c_8320,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_3329,c_8318]) ).

tff(c_8321,plain,
    ( ( app(sk1,tl(sk2)) != sk2 )
    | ~ ssList(tl(sk2))
    | ~ neq(nil,sk2) ),
    inference(splitRight,[status(thm)],[c_424]) ).

tff(c_8438,plain,
    ~ neq(nil,sk2),
    inference(splitLeft,[status(thm)],[c_8321]) ).

tff(c_8444,plain,
    ( ( sk2 = nil )
    | ~ ssList(nil)
    | ~ ssList(sk2) ),
    inference(resolution,[status(thm)],[c_200,c_8438]) ).

tff(c_8450,plain,
    sk2 = nil,
    inference(demodulation,[status(thm),theory(equality)],[c_430,c_16,c_8444]) ).

tff(c_8452,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_3329,c_8450]) ).

tff(c_8453,plain,
    ( ~ ssList(tl(sk2))
    | ( app(sk1,tl(sk2)) != sk2 ) ),
    inference(splitRight,[status(thm)],[c_8321]) ).

tff(c_8531,plain,
    app(sk1,tl(sk2)) != sk2,
    inference(splitLeft,[status(thm)],[c_8453]) ).

tff(c_13264,plain,
    app(sk1,skaf82(sk2)) != sk2,
    inference(demodulation,[status(thm),theory(equality)],[c_13167,c_8531]) ).

tff(c_15704,plain,
    app(sk1,sk6) != sk2,
    inference(demodulation,[status(thm),theory(equality)],[c_15694,c_13264]) ).

tff(c_15717,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_429,c_15704]) ).

tff(c_15718,plain,
    ~ ssList(tl(sk2)),
    inference(splitRight,[status(thm)],[c_8453]) ).

tff(c_15722,plain,
    ( ( sk2 = nil )
    | ~ ssList(sk2) ),
    inference(resolution,[status(thm)],[c_154,c_15718]) ).

tff(c_15725,plain,
    sk2 = nil,
    inference(demodulation,[status(thm),theory(equality)],[c_430,c_15722]) ).

tff(c_15727,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_3329,c_15725]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14  % Problem  : SWC014-1 : TPTP v8.1.2. Released v2.4.0.
% 0.00/0.15  % 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
% 0.15/0.37  % Computer : n011.cluster.edu
% 0.15/0.37  % Model    : x86_64 x86_64
% 0.15/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.37  % Memory   : 8042.1875MB
% 0.15/0.37  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.37  % CPULimit : 300
% 0.15/0.37  % WCLimit  : 300
% 0.15/0.37  % DateTime : Thu Aug  3 21:34:21 EDT 2023
% 0.15/0.37  % CPUTime  : 
% 20.13/7.57  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 20.13/7.58  
% 20.13/7.58  % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 20.13/7.62  
% 20.13/7.62  Inference rules
% 20.13/7.62  ----------------------
% 20.13/7.62  #Ref     : 0
% 20.13/7.62  #Sup     : 3273
% 20.13/7.62  #Fact    : 0
% 20.13/7.62  #Define  : 0
% 20.13/7.62  #Split   : 18
% 20.13/7.62  #Chain   : 0
% 20.13/7.62  #Close   : 0
% 20.13/7.62  
% 20.13/7.62  Ordering : KBO
% 20.13/7.62  
% 20.13/7.62  Simplification rules
% 20.13/7.62  ----------------------
% 20.13/7.62  #Subsume      : 298
% 20.13/7.62  #Demod        : 3741
% 20.13/7.62  #Tautology    : 824
% 20.13/7.62  #SimpNegUnit  : 75
% 20.13/7.62  #BackRed      : 95
% 20.13/7.62  
% 20.13/7.62  #Partial instantiations: 0
% 20.13/7.62  #Strategies tried      : 1
% 20.13/7.62  
% 20.13/7.62  Timing (in seconds)
% 20.13/7.62  ----------------------
% 20.13/7.62  Preprocessing        : 0.87
% 20.13/7.62  Parsing              : 0.44
% 20.13/7.62  CNF conversion       : 0.07
% 20.13/7.62  Main loop            : 5.58
% 20.13/7.62  Inferencing          : 1.32
% 20.13/7.62  Reduction            : 2.68
% 20.13/7.62  Demodulation         : 2.05
% 20.13/7.62  BG Simplification    : 0.10
% 20.13/7.62  Subsumption          : 1.13
% 20.13/7.62  Abstraction          : 0.08
% 20.13/7.62  MUC search           : 0.00
% 20.13/7.62  Cooper               : 0.00
% 20.13/7.62  Total                : 6.51
% 20.13/7.62  Index Insertion      : 0.00
% 20.13/7.62  Index Deletion       : 0.00
% 20.13/7.62  Index Matching       : 0.00
% 20.13/7.62  BG Taut test         : 0.00
%------------------------------------------------------------------------------