TSTP Solution File: SWW102+1 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : SWW102+1 : TPTP v8.1.2. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s

% Computer : n002.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 Sep  2 14:04:28 EDT 2023

% Result   : Theorem 0.16s 0.46s
% Output   : Refutation 0.16s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   26
%            Number of leaves      :   26
% Syntax   : Number of formulae    :  141 (  59 unt;   0 def)
%            Number of atoms       :  295 ( 185 equ)
%            Maximal formula atoms :   10 (   2 avg)
%            Number of connectives :  246 (  92   ~;  92   |;  44   &)
%                                         (   8 <=>;  10  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   3 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    9 (   7 usr;   1 prp; 0-2 aty)
%            Number of functors    :   14 (  14 usr;   6 con; 0-2 aty)
%            Number of variables   :  109 (; 101   !;   8   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f4389,plain,
    $false,
    inference(subsumption_resolution,[],[f4388,f295]) ).

fof(f295,plain,
    false != prop(false),
    inference(unit_resulting_resolution,[],[f265,f188]) ).

fof(f188,plain,
    ! [X0] :
      ( ~ bool(X0)
      | false != prop(X0) ),
    inference(cnf_transformation,[],[f122]) ).

fof(f122,plain,
    ! [X0] :
      ( ( false = prop(X0)
        | bool(X0) )
      & ( ~ bool(X0)
        | false != prop(X0) ) ),
    inference(nnf_transformation,[],[f8]) ).

fof(f8,axiom,
    ! [X0] :
      ( false = prop(X0)
    <=> ~ bool(X0) ),
    file('/export/starexec/sandbox2/tmp/tmp.lPMQrpz3Rm/Vampire---4.8_25042',prop_false) ).

fof(f265,plain,
    bool(false),
    inference(forward_demodulation,[],[f263,f168]) ).

fof(f168,plain,
    ! [X0] : false = lazy_and1(false,X0),
    inference(cnf_transformation,[],[f48]) ).

fof(f48,plain,
    ! [X0] : false = lazy_and1(false,X0),
    inference(rectify,[],[f23]) ).

fof(f23,axiom,
    ! [X3] : false = lazy_and1(false,X3),
    file('/export/starexec/sandbox2/tmp/tmp.lPMQrpz3Rm/Vampire---4.8_25042',lazy_and1_axiom2) ).

fof(f263,plain,
    ! [X0] : bool(lazy_and1(false,X0)),
    inference(unit_resulting_resolution,[],[f168,f186]) ).

fof(f186,plain,
    ! [X0] :
      ( false != X0
      | bool(X0) ),
    inference(cnf_transformation,[],[f121]) ).

fof(f121,plain,
    ! [X0] :
      ( ( bool(X0)
        | ( true != X0
          & false != X0 ) )
      & ( true = X0
        | false = X0
        | ~ bool(X0) ) ),
    inference(flattening,[],[f120]) ).

fof(f120,plain,
    ! [X0] :
      ( ( bool(X0)
        | ( true != X0
          & false != X0 ) )
      & ( true = X0
        | false = X0
        | ~ bool(X0) ) ),
    inference(nnf_transformation,[],[f1]) ).

fof(f1,axiom,
    ! [X0] :
      ( bool(X0)
    <=> ( true = X0
        | false = X0 ) ),
    file('/export/starexec/sandbox2/tmp/tmp.lPMQrpz3Rm/Vampire---4.8_25042',def_bool) ).

fof(f4388,plain,
    false = prop(false),
    inference(forward_demodulation,[],[f4382,f3765]) ).

fof(f3765,plain,
    false = false2,
    inference(forward_demodulation,[],[f3764,f284]) ).

fof(f284,plain,
    false = phi(false),
    inference(unit_resulting_resolution,[],[f250,f175]) ).

fof(f175,plain,
    ! [X0] :
      ( ~ sP0(X0)
      | phi(X0) = X0 ),
    inference(cnf_transformation,[],[f119]) ).

fof(f119,plain,
    ! [X0] :
      ( ( phi(X0) = X0
        & d(X0) )
      | ~ sP0(X0) ),
    inference(nnf_transformation,[],[f107]) ).

fof(f107,plain,
    ! [X0] :
      ( ( phi(X0) = X0
        & d(X0) )
      | ~ sP0(X0) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).

fof(f250,plain,
    sP0(false),
    inference(unit_resulting_resolution,[],[f163,f176]) ).

fof(f176,plain,
    ! [X0] :
      ( ~ d(X0)
      | sP0(X0) ),
    inference(cnf_transformation,[],[f108]) ).

fof(f108,plain,
    ! [X0] :
      ( ( err = phi(X0)
        & ~ d(X0) )
      | sP0(X0) ),
    inference(definition_folding,[],[f6,f107]) ).

fof(f6,axiom,
    ! [X0] :
      ( ( err = phi(X0)
        & ~ d(X0) )
      | ( phi(X0) = X0
        & d(X0) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.lPMQrpz3Rm/Vampire---4.8_25042',def_phi) ).

fof(f163,plain,
    d(false),
    inference(cnf_transformation,[],[f3]) ).

fof(f3,axiom,
    ( d(err)
    & d(false)
    & d(true) ),
    file('/export/starexec/sandbox2/tmp/tmp.lPMQrpz3Rm/Vampire---4.8_25042',false_true_err_in_d) ).

fof(f3764,plain,
    false2 = phi(false),
    inference(forward_demodulation,[],[f3648,f327]) ).

fof(f327,plain,
    false = f7(false),
    inference(forward_demodulation,[],[f326,f284]) ).

fof(f326,plain,
    phi(false) = f7(false),
    inference(forward_demodulation,[],[f324,f172]) ).

fof(f172,plain,
    ! [X0] : phi(X0) = lazy_impl(true,X0),
    inference(cnf_transformation,[],[f52]) ).

fof(f52,plain,
    ! [X0] : phi(X0) = lazy_impl(true,X0),
    inference(rectify,[],[f15]) ).

fof(f15,axiom,
    ! [X3] : phi(X3) = lazy_impl(true,X3),
    file('/export/starexec/sandbox2/tmp/tmp.lPMQrpz3Rm/Vampire---4.8_25042',lazy_impl_axiom3) ).

fof(f324,plain,
    f7(false) = lazy_impl(true,false),
    inference(superposition,[],[f173,f302]) ).

fof(f302,plain,
    true = prop(false),
    inference(unit_resulting_resolution,[],[f265,f191]) ).

fof(f191,plain,
    ! [X0] :
      ( ~ bool(X0)
      | true = prop(X0) ),
    inference(cnf_transformation,[],[f123]) ).

fof(f123,plain,
    ! [X0] :
      ( ( true = prop(X0)
        | ~ bool(X0) )
      & ( bool(X0)
        | true != prop(X0) ) ),
    inference(nnf_transformation,[],[f7]) ).

fof(f7,axiom,
    ! [X0] :
      ( true = prop(X0)
    <=> bool(X0) ),
    file('/export/starexec/sandbox2/tmp/tmp.lPMQrpz3Rm/Vampire---4.8_25042',prop_true) ).

fof(f173,plain,
    ! [X0] : f7(X0) = lazy_impl(prop(X0),X0),
    inference(cnf_transformation,[],[f53]) ).

fof(f53,plain,
    ! [X0] : f7(X0) = lazy_impl(prop(X0),X0),
    inference(rectify,[],[f39]) ).

fof(f39,axiom,
    ! [X4] : f7(X4) = lazy_impl(prop(X4),X4),
    file('/export/starexec/sandbox2/tmp/tmp.lPMQrpz3Rm/Vampire---4.8_25042',def_f7) ).

fof(f3648,plain,
    false2 = phi(f7(false)),
    inference(superposition,[],[f247,f3551]) ).

fof(f3551,plain,
    false = sK14,
    inference(unit_resulting_resolution,[],[f1925,f1175,f2438]) ).

fof(f2438,plain,
    ! [X2] :
      ( true = f7(X2)
      | true = X2
      | false = X2 ),
    inference(forward_demodulation,[],[f2430,f169]) ).

fof(f169,plain,
    ! [X0] : true = lazy_impl(false,X0),
    inference(cnf_transformation,[],[f49]) ).

fof(f49,plain,
    ! [X0] : true = lazy_impl(false,X0),
    inference(rectify,[],[f14]) ).

fof(f14,axiom,
    ! [X3] : true = lazy_impl(false,X3),
    file('/export/starexec/sandbox2/tmp/tmp.lPMQrpz3Rm/Vampire---4.8_25042',lazy_impl_axiom2) ).

fof(f2430,plain,
    ! [X2] :
      ( f7(X2) = lazy_impl(false,X2)
      | true = X2
      | false = X2 ),
    inference(superposition,[],[f173,f510]) ).

fof(f510,plain,
    ! [X1] :
      ( false = prop(X1)
      | true = X1
      | false = X1 ),
    inference(resolution,[],[f185,f189]) ).

fof(f189,plain,
    ! [X0] :
      ( bool(X0)
      | false = prop(X0) ),
    inference(cnf_transformation,[],[f122]) ).

fof(f185,plain,
    ! [X0] :
      ( ~ bool(X0)
      | false = X0
      | true = X0 ),
    inference(cnf_transformation,[],[f121]) ).

fof(f1175,plain,
    true != f7(sK14),
    inference(unit_resulting_resolution,[],[f319,f327,f224]) ).

fof(f224,plain,
    ! [X0,X1] :
      ( true != X0
      | sP6(X0,X1)
      | false != X1 ),
    inference(cnf_transformation,[],[f140]) ).

fof(f140,plain,
    ! [X0,X1] :
      ( ( sP6(X0,X1)
        | ( ( true != X0
            | false != X1 )
          & ~ sP4(X0,X1)
          & ~ sP5(X0,X1) ) )
      & ( ( true = X0
          & false = X1 )
        | sP4(X0,X1)
        | sP5(X0,X1)
        | ~ sP6(X0,X1) ) ),
    inference(rectify,[],[f139]) ).

fof(f139,plain,
    ! [X1,X0] :
      ( ( sP6(X1,X0)
        | ( ( true != X1
            | false != X0 )
          & ~ sP4(X1,X0)
          & ~ sP5(X1,X0) ) )
      & ( ( true = X1
          & false = X0 )
        | sP4(X1,X0)
        | sP5(X1,X0)
        | ~ sP6(X1,X0) ) ),
    inference(flattening,[],[f138]) ).

fof(f138,plain,
    ! [X1,X0] :
      ( ( sP6(X1,X0)
        | ( ( true != X1
            | false != X0 )
          & ~ sP4(X1,X0)
          & ~ sP5(X1,X0) ) )
      & ( ( true = X1
          & false = X0 )
        | sP4(X1,X0)
        | sP5(X1,X0)
        | ~ sP6(X1,X0) ) ),
    inference(nnf_transformation,[],[f115]) ).

fof(f115,plain,
    ! [X1,X0] :
      ( sP6(X1,X0)
    <=> ( ( true = X1
          & false = X0 )
        | sP4(X1,X0)
        | sP5(X1,X0) ) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP6])]) ).

fof(f319,plain,
    ! [X0] : ~ sP6(f7(sK14),f7(X0)),
    inference(unit_resulting_resolution,[],[f248,f234]) ).

fof(f234,plain,
    ! [X0,X1] :
      ( ~ sP6(X1,X0)
      | forallprefers(X0,X1) ),
    inference(cnf_transformation,[],[f147]) ).

fof(f147,plain,
    ! [X0,X1] :
      ( ( forallprefers(X0,X1)
        | ~ sP6(X1,X0) )
      & ( sP6(X1,X0)
        | ~ forallprefers(X0,X1) ) ),
    inference(nnf_transformation,[],[f116]) ).

fof(f116,plain,
    ! [X0,X1] :
      ( forallprefers(X0,X1)
    <=> sP6(X1,X0) ),
    inference(definition_folding,[],[f4,f115,f114,f113]) ).

fof(f113,plain,
    ! [X1,X0] :
      ( sP4(X1,X0)
    <=> ( bool(X1)
        & ~ bool(X0)
        & d(X1)
        & d(X0) ) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP4])]) ).

fof(f114,plain,
    ! [X1,X0] :
      ( sP5(X1,X0)
    <=> ( d(X1)
        & ~ d(X0) ) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP5])]) ).

fof(f4,axiom,
    ! [X0,X1] :
      ( forallprefers(X0,X1)
    <=> ( ( true = X1
          & false = X0 )
        | ( bool(X1)
          & ~ bool(X0)
          & d(X1)
          & d(X0) )
        | ( d(X1)
          & ~ d(X0) ) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.lPMQrpz3Rm/Vampire---4.8_25042',def_forallprefers) ).

fof(f248,plain,
    ! [X1] : ~ forallprefers(f7(X1),f7(sK14)),
    inference(cnf_transformation,[],[f157]) ).

fof(f157,plain,
    ( ! [X1] : ~ forallprefers(f7(X1),f7(sK14))
    & false2 = phi(f7(sK14)) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK14])],[f106,f156]) ).

fof(f156,plain,
    ( ? [X0] :
        ( ! [X1] : ~ forallprefers(f7(X1),f7(X0))
        & false2 = phi(f7(X0)) )
   => ( ! [X1] : ~ forallprefers(f7(X1),f7(sK14))
      & false2 = phi(f7(sK14)) ) ),
    introduced(choice_axiom,[]) ).

fof(f106,plain,
    ? [X0] :
      ( ! [X1] : ~ forallprefers(f7(X1),f7(X0))
      & false2 = phi(f7(X0)) ),
    inference(ennf_transformation,[],[f80]) ).

fof(f80,plain,
    ? [X0] :
      ( ~ ? [X1] : forallprefers(f7(X1),f7(X0))
      & false2 = phi(f7(X0)) ),
    inference(rectify,[],[f40]) ).

fof(f40,axiom,
    ? [X4] :
      ( ~ ? [X9] : forallprefers(f7(X9),f7(X4))
      & false2 = phi(f7(X4)) ),
    file('/export/starexec/sandbox2/tmp/tmp.lPMQrpz3Rm/Vampire---4.8_25042',def_false2) ).

fof(f1925,plain,
    true != sK14,
    inference(subsumption_resolution,[],[f1924,f166]) ).

fof(f166,plain,
    true != err,
    inference(cnf_transformation,[],[f2]) ).

fof(f2,axiom,
    ( false != err
    & true != err
    & false != true ),
    file('/export/starexec/sandbox2/tmp/tmp.lPMQrpz3Rm/Vampire---4.8_25042',distinct_false_true_err) ).

fof(f1924,plain,
    ( true = err
    | true != sK14 ),
    inference(forward_demodulation,[],[f1923,f283]) ).

fof(f283,plain,
    true = phi(true),
    inference(unit_resulting_resolution,[],[f249,f175]) ).

fof(f249,plain,
    sP0(true),
    inference(unit_resulting_resolution,[],[f162,f176]) ).

fof(f162,plain,
    d(true),
    inference(cnf_transformation,[],[f3]) ).

fof(f1923,plain,
    ( true != sK14
    | err = phi(true) ),
    inference(subsumption_resolution,[],[f1922,f296]) ).

fof(f296,plain,
    false != prop(true),
    inference(unit_resulting_resolution,[],[f271,f188]) ).

fof(f271,plain,
    bool(true),
    inference(forward_demodulation,[],[f269,f169]) ).

fof(f269,plain,
    ! [X0] : bool(lazy_impl(false,X0)),
    inference(unit_resulting_resolution,[],[f169,f187]) ).

fof(f187,plain,
    ! [X0] :
      ( true != X0
      | bool(X0) ),
    inference(cnf_transformation,[],[f121]) ).

fof(f1922,plain,
    ( true != sK14
    | false = prop(true)
    | err = phi(true) ),
    inference(inner_rewriting,[],[f1920]) ).

fof(f1920,plain,
    ( true != sK14
    | false = prop(sK14)
    | err = phi(sK14) ),
    inference(superposition,[],[f1908,f293]) ).

fof(f293,plain,
    ! [X0] :
      ( err = phi(X0)
      | phi(X0) = X0 ),
    inference(resolution,[],[f177,f175]) ).

fof(f177,plain,
    ! [X0] :
      ( sP0(X0)
      | err = phi(X0) ),
    inference(cnf_transformation,[],[f108]) ).

fof(f1908,plain,
    ( true != phi(sK14)
    | false = prop(sK14) ),
    inference(superposition,[],[f1175,f672]) ).

fof(f672,plain,
    ! [X0] :
      ( phi(X0) = f7(X0)
      | false = prop(X0) ),
    inference(forward_demodulation,[],[f663,f172]) ).

fof(f663,plain,
    ! [X0] :
      ( lazy_impl(true,X0) = f7(X0)
      | false = prop(X0) ),
    inference(superposition,[],[f173,f306]) ).

fof(f306,plain,
    ! [X0] :
      ( true = prop(X0)
      | false = prop(X0) ),
    inference(resolution,[],[f191,f189]) ).

fof(f247,plain,
    false2 = phi(f7(sK14)),
    inference(cnf_transformation,[],[f157]) ).

fof(f4382,plain,
    false = prop(false2),
    inference(unit_resulting_resolution,[],[f4188,f1688]) ).

fof(f1688,plain,
    ( true = not2(false)
    | false = prop(false2) ),
    inference(superposition,[],[f377,f170]) ).

fof(f170,plain,
    ! [X0] : not2(X0) = impl(X0,false2),
    inference(cnf_transformation,[],[f50]) ).

fof(f50,plain,
    ! [X0] : not2(X0) = impl(X0,false2),
    inference(rectify,[],[f44]) ).

fof(f44,axiom,
    ! [X4] : not2(X4) = impl(X4,false2),
    file('/export/starexec/sandbox2/tmp/tmp.lPMQrpz3Rm/Vampire---4.8_25042',def_not2) ).

fof(f377,plain,
    ! [X1] :
      ( true = impl(false,X1)
      | false = prop(X1) ),
    inference(resolution,[],[f181,f189]) ).

fof(f181,plain,
    ! [X0] :
      ( ~ bool(X0)
      | true = impl(false,X0) ),
    inference(cnf_transformation,[],[f85]) ).

fof(f85,plain,
    ! [X0] :
      ( true = impl(false,X0)
      | ~ bool(X0) ),
    inference(ennf_transformation,[],[f57]) ).

fof(f57,plain,
    ! [X0] :
      ( bool(X0)
     => true = impl(false,X0) ),
    inference(rectify,[],[f11]) ).

fof(f11,axiom,
    ! [X3] :
      ( bool(X3)
     => true = impl(false,X3) ),
    file('/export/starexec/sandbox2/tmp/tmp.lPMQrpz3Rm/Vampire---4.8_25042',impl_axiom3) ).

fof(f4188,plain,
    true != not2(false),
    inference(forward_demodulation,[],[f4056,f160]) ).

fof(f160,plain,
    true = not1(false),
    inference(cnf_transformation,[],[f42]) ).

fof(f42,axiom,
    true = not1(false),
    file('/export/starexec/sandbox2/tmp/tmp.lPMQrpz3Rm/Vampire---4.8_25042',not1_axiom2) ).

fof(f4056,plain,
    not1(false) != not2(false),
    inference(superposition,[],[f158,f3819]) ).

fof(f3819,plain,
    false = sK7,
    inference(unit_resulting_resolution,[],[f3765,f3127]) ).

fof(f3127,plain,
    ( false != false2
    | false = sK7 ),
    inference(subsumption_resolution,[],[f3126,f295]) ).

fof(f3126,plain,
    ( false != false2
    | false = sK7
    | false = prop(false) ),
    inference(inner_rewriting,[],[f3123]) ).

fof(f3123,plain,
    ( false != false2
    | false = sK7
    | false = prop(false2) ),
    inference(superposition,[],[f3075,f1696]) ).

fof(f1696,plain,
    ( false2 = not2(true)
    | false = prop(false2) ),
    inference(superposition,[],[f407,f170]) ).

fof(f407,plain,
    ! [X1] :
      ( impl(true,X1) = X1
      | false = prop(X1) ),
    inference(resolution,[],[f184,f189]) ).

fof(f184,plain,
    ! [X0] :
      ( ~ bool(X0)
      | impl(true,X0) = X0 ),
    inference(cnf_transformation,[],[f88]) ).

fof(f88,plain,
    ! [X0] :
      ( impl(true,X0) = X0
      | ~ bool(X0) ),
    inference(ennf_transformation,[],[f60]) ).

fof(f60,plain,
    ! [X0] :
      ( bool(X0)
     => impl(true,X0) = X0 ),
    inference(rectify,[],[f12]) ).

fof(f12,axiom,
    ! [X3] :
      ( bool(X3)
     => impl(true,X3) = X3 ),
    file('/export/starexec/sandbox2/tmp/tmp.lPMQrpz3Rm/Vampire---4.8_25042',impl_axiom4) ).

fof(f3075,plain,
    ( false != not2(true)
    | false = sK7 ),
    inference(forward_demodulation,[],[f3054,f161]) ).

fof(f161,plain,
    false = not1(true),
    inference(cnf_transformation,[],[f43]) ).

fof(f43,axiom,
    false = not1(true),
    file('/export/starexec/sandbox2/tmp/tmp.lPMQrpz3Rm/Vampire---4.8_25042',not1_axiom3) ).

fof(f3054,plain,
    ( not1(true) != not2(true)
    | false = sK7 ),
    inference(superposition,[],[f158,f2679]) ).

fof(f2679,plain,
    ( true = sK7
    | false = sK7 ),
    inference(subsumption_resolution,[],[f2622,f165]) ).

fof(f165,plain,
    false != true,
    inference(cnf_transformation,[],[f2]) ).

fof(f2622,plain,
    ( false = true
    | true = sK7
    | false = sK7 ),
    inference(superposition,[],[f2596,f510]) ).

fof(f2596,plain,
    true = prop(sK7),
    inference(subsumption_resolution,[],[f2594,f350]) ).

fof(f350,plain,
    ! [X0] :
      ( phi(X0) = not1(X0)
      | true = prop(X0) ),
    inference(resolution,[],[f178,f191]) ).

fof(f178,plain,
    ! [X0] :
      ( bool(X0)
      | phi(X0) = not1(X0) ),
    inference(cnf_transformation,[],[f82]) ).

fof(f82,plain,
    ! [X0] :
      ( phi(X0) = not1(X0)
      | bool(X0) ),
    inference(ennf_transformation,[],[f54]) ).

fof(f54,plain,
    ! [X0] :
      ( ~ bool(X0)
     => phi(X0) = not1(X0) ),
    inference(rectify,[],[f41]) ).

fof(f41,axiom,
    ! [X2] :
      ( ~ bool(X2)
     => phi(X2) = not1(X2) ),
    file('/export/starexec/sandbox2/tmp/tmp.lPMQrpz3Rm/Vampire---4.8_25042',not1_axiom1) ).

fof(f2594,plain,
    ( not1(sK7) != phi(sK7)
    | true = prop(sK7) ),
    inference(superposition,[],[f158,f2556]) ).

fof(f2556,plain,
    ! [X0] :
      ( phi(X0) = not2(X0)
      | true = prop(X0) ),
    inference(superposition,[],[f599,f170]) ).

fof(f599,plain,
    ! [X16,X17] :
      ( phi(X16) = impl(X16,X17)
      | true = prop(X16) ),
    inference(resolution,[],[f201,f191]) ).

fof(f201,plain,
    ! [X0,X1] :
      ( bool(X0)
      | phi(X0) = impl(X0,X1) ),
    inference(cnf_transformation,[],[f95]) ).

fof(f95,plain,
    ! [X0,X1] :
      ( phi(X0) = impl(X0,X1)
      | bool(X0) ),
    inference(ennf_transformation,[],[f68]) ).

fof(f68,plain,
    ! [X0,X1] :
      ( ~ bool(X0)
     => phi(X0) = impl(X0,X1) ),
    inference(rectify,[],[f9]) ).

fof(f9,axiom,
    ! [X2,X3] :
      ( ~ bool(X2)
     => impl(X2,X3) = phi(X2) ),
    file('/export/starexec/sandbox2/tmp/tmp.lPMQrpz3Rm/Vampire---4.8_25042',impl_axiom1) ).

fof(f158,plain,
    not2(sK7) != not1(sK7),
    inference(cnf_transformation,[],[f118]) ).

fof(f118,plain,
    not2(sK7) != not1(sK7),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK7])],[f81,f117]) ).

fof(f117,plain,
    ( ? [X0] : not2(X0) != not1(X0)
   => not2(sK7) != not1(sK7) ),
    introduced(choice_axiom,[]) ).

fof(f81,plain,
    ? [X0] : not2(X0) != not1(X0),
    inference(ennf_transformation,[],[f47]) ).

fof(f47,plain,
    ~ ! [X0] : not2(X0) = not1(X0),
    inference(rectify,[],[f46]) ).

fof(f46,negated_conjecture,
    ~ ! [X4] : not2(X4) = not1(X4),
    inference(negated_conjecture,[],[f45]) ).

fof(f45,conjecture,
    ! [X4] : not2(X4) = not1(X4),
    file('/export/starexec/sandbox2/tmp/tmp.lPMQrpz3Rm/Vampire---4.8_25042',not1_not2) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11  % Problem    : SWW102+1 : TPTP v8.1.2. Released v5.2.0.
% 0.10/0.12  % Command    : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.10/0.33  % Computer : n002.cluster.edu
% 0.10/0.33  % Model    : x86_64 x86_64
% 0.10/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.33  % Memory   : 8042.1875MB
% 0.10/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.33  % CPULimit   : 300
% 0.10/0.33  % WCLimit    : 300
% 0.10/0.33  % DateTime   : Wed Aug 30 17:00:06 EDT 2023
% 0.10/0.33  % CPUTime    : 
% 0.16/0.39  % (25153)Running in auto input_syntax mode. Trying TPTP
% 0.16/0.40  % (25159)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on Vampire---4 for (533ds/0Mi)
% 0.16/0.40  % (25157)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on Vampire---4 for (793ds/0Mi)
% 0.16/0.40  % (25160)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on Vampire---4 for (531ds/0Mi)
% 0.16/0.40  % (25161)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on Vampire---4 for (522ds/0Mi)
% 0.16/0.40  % (25158)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on Vampire---4 for (569ds/0Mi)
% 0.16/0.40  % (25162)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on Vampire---4 for (497ds/0Mi)
% 0.16/0.40  % (25155)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on Vampire---4 for (846ds/0Mi)
% 0.16/0.40  Detected minimum model sizes of [3]
% 0.16/0.40  Detected maximum model sizes of [max]
% 0.16/0.40  TRYING [3]
% 0.16/0.41  Detected minimum model sizes of [3]
% 0.16/0.41  Detected maximum model sizes of [max]
% 0.16/0.41  TRYING [3]
% 0.16/0.42  TRYING [4]
% 0.16/0.46  % (25162)First to succeed.
% 0.16/0.46  % (25162)Refutation found. Thanks to Tanya!
% 0.16/0.46  % SZS status Theorem for Vampire---4
% 0.16/0.46  % SZS output start Proof for Vampire---4
% See solution above
% 0.16/0.46  % (25162)------------------------------
% 0.16/0.46  % (25162)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.16/0.46  % (25162)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.16/0.46  % (25162)Termination reason: Refutation
% 0.16/0.46  
% 0.16/0.46  % (25162)Memory used [KB]: 1791
% 0.16/0.46  % (25162)Time elapsed: 0.062 s
% 0.16/0.46  % (25162)------------------------------
% 0.16/0.46  % (25162)------------------------------
% 0.16/0.46  % (25153)Success in time 0.127 s
% 0.16/0.46  % Vampire---4.8 exiting
%------------------------------------------------------------------------------