TSTP Solution File: SWW102+1 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : SWW102+1 : TPTP v8.1.2. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n006.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 : Fri May  3 03:24:22 EDT 2024

% Result   : Theorem 7.62s 1.63s
% Output   : CNFRefutation 7.62s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named definition)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    ! [X0] :
      ( bool(X0)
    <=> ( true = X0
        | false = X0 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',def_bool) ).

fof(f2,axiom,
    ( false != err
    & true != err
    & false != true ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',distinct_false_true_err) ).

fof(f3,axiom,
    ( d(err)
    & d(false)
    & d(true) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',false_true_err_in_d) ).

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/sandbox/benchmark/theBenchmark.p',def_forallprefers) ).

fof(f6,axiom,
    ! [X0] :
      ( ( err = phi(X0)
        & ~ d(X0) )
      | ( phi(X0) = X0
        & d(X0) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',def_phi) ).

fof(f7,axiom,
    ! [X0] :
      ( true = prop(X0)
    <=> bool(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prop_true) ).

fof(f8,axiom,
    ! [X0] :
      ( false = prop(X0)
    <=> ~ bool(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prop_false) ).

fof(f9,axiom,
    ! [X2,X3] :
      ( ~ bool(X2)
     => impl(X2,X3) = phi(X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',impl_axiom1) ).

fof(f11,axiom,
    ! [X3] :
      ( bool(X3)
     => true = impl(false,X3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',impl_axiom3) ).

fof(f12,axiom,
    ! [X3] :
      ( bool(X3)
     => impl(true,X3) = X3 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',impl_axiom4) ).

fof(f14,axiom,
    ! [X3] : true = lazy_impl(false,X3),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',lazy_impl_axiom2) ).

fof(f15,axiom,
    ! [X3] : phi(X3) = lazy_impl(true,X3),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',lazy_impl_axiom3) ).

fof(f38,axiom,
    false = false1,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',def_false1) ).

fof(f39,axiom,
    ! [X4] : f7(X4) = lazy_impl(prop(X4),X4),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',def_f7) ).

fof(f40,axiom,
    ? [X4] :
      ( ~ ? [X9] : forallprefers(f7(X9),f7(X4))
      & false2 = phi(f7(X4)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',def_false2) ).

fof(f41,axiom,
    ! [X2] :
      ( ~ bool(X2)
     => phi(X2) = not1(X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',not1_axiom1) ).

fof(f42,axiom,
    true = not1(false),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',not1_axiom2) ).

fof(f43,axiom,
    false = not1(true),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',not1_axiom3) ).

fof(f44,axiom,
    ! [X4] : not2(X4) = impl(X4,false2),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',def_not2) ).

fof(f45,conjecture,
    ! [X4] : not2(X4) = not1(X4),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',not1_not2) ).

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

fof(f47,plain,
    ! [X0,X1] :
      ( ~ bool(X0)
     => phi(X0) = impl(X0,X1) ),
    inference(rectify,[],[f9]) ).

fof(f49,plain,
    ! [X0] :
      ( bool(X0)
     => true = impl(false,X0) ),
    inference(rectify,[],[f11]) ).

fof(f50,plain,
    ! [X0] :
      ( bool(X0)
     => impl(true,X0) = X0 ),
    inference(rectify,[],[f12]) ).

fof(f52,plain,
    ! [X0] : true = lazy_impl(false,X0),
    inference(rectify,[],[f14]) ).

fof(f53,plain,
    ! [X0] : phi(X0) = lazy_impl(true,X0),
    inference(rectify,[],[f15]) ).

fof(f76,plain,
    ! [X0] : f7(X0) = lazy_impl(prop(X0),X0),
    inference(rectify,[],[f39]) ).

fof(f77,plain,
    ? [X0] :
      ( ~ ? [X1] : forallprefers(f7(X1),f7(X0))
      & false2 = phi(f7(X0)) ),
    inference(rectify,[],[f40]) ).

fof(f78,plain,
    ! [X0] :
      ( ~ bool(X0)
     => phi(X0) = not1(X0) ),
    inference(rectify,[],[f41]) ).

fof(f79,plain,
    ! [X0] : not2(X0) = impl(X0,false2),
    inference(rectify,[],[f44]) ).

fof(f80,plain,
    ~ ! [X0] : not1(X0) = not2(X0),
    inference(rectify,[],[f46]) ).

fof(f82,plain,
    ! [X0,X1] :
      ( ( ( true = X1
          & false = X0 )
        | ( bool(X1)
          & ~ bool(X0)
          & d(X1)
          & d(X0) )
        | ( d(X1)
          & ~ d(X0) ) )
     => forallprefers(X0,X1) ),
    inference(unused_predicate_definition_removal,[],[f4]) ).

fof(f83,plain,
    ! [X0,X1] :
      ( forallprefers(X0,X1)
      | ( ( true != X1
          | false != X0 )
        & ( ~ bool(X1)
          | bool(X0)
          | ~ d(X1)
          | ~ d(X0) )
        & ( ~ d(X1)
          | d(X0) ) ) ),
    inference(ennf_transformation,[],[f82]) ).

fof(f85,plain,
    ! [X0,X1] :
      ( phi(X0) = impl(X0,X1)
      | bool(X0) ),
    inference(ennf_transformation,[],[f47]) ).

fof(f88,plain,
    ! [X0] :
      ( true = impl(false,X0)
      | ~ bool(X0) ),
    inference(ennf_transformation,[],[f49]) ).

fof(f89,plain,
    ! [X0] :
      ( impl(true,X0) = X0
      | ~ bool(X0) ),
    inference(ennf_transformation,[],[f50]) ).

fof(f108,plain,
    ? [X0] :
      ( ! [X1] : ~ forallprefers(f7(X1),f7(X0))
      & false2 = phi(f7(X0)) ),
    inference(ennf_transformation,[],[f77]) ).

fof(f109,plain,
    ! [X0] :
      ( phi(X0) = not1(X0)
      | bool(X0) ),
    inference(ennf_transformation,[],[f78]) ).

fof(f110,plain,
    ? [X0] : not1(X0) != not2(X0),
    inference(ennf_transformation,[],[f80]) ).

fof(f111,plain,
    ! [X0] :
      ( ( bool(X0)
        | ( true != X0
          & false != X0 ) )
      & ( true = X0
        | false = X0
        | ~ bool(X0) ) ),
    inference(nnf_transformation,[],[f1]) ).

fof(f112,plain,
    ! [X0] :
      ( ( bool(X0)
        | ( true != X0
          & false != X0 ) )
      & ( true = X0
        | false = X0
        | ~ bool(X0) ) ),
    inference(flattening,[],[f111]) ).

fof(f113,plain,
    ! [X0] :
      ( ( true = prop(X0)
        | ~ bool(X0) )
      & ( bool(X0)
        | true != prop(X0) ) ),
    inference(nnf_transformation,[],[f7]) ).

fof(f114,plain,
    ! [X0] :
      ( ( false = prop(X0)
        | bool(X0) )
      & ( ~ bool(X0)
        | false != prop(X0) ) ),
    inference(nnf_transformation,[],[f8]) ).

fof(f127,plain,
    ( ? [X0] :
        ( ! [X1] : ~ forallprefers(f7(X1),f7(X0))
        & false2 = phi(f7(X0)) )
   => ( ! [X1] : ~ forallprefers(f7(X1),f7(sK6))
      & false2 = phi(f7(sK6)) ) ),
    introduced(choice_axiom,[]) ).

fof(f128,plain,
    ( ! [X1] : ~ forallprefers(f7(X1),f7(sK6))
    & false2 = phi(f7(sK6)) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK6])],[f108,f127]) ).

fof(f129,plain,
    ( ? [X0] : not1(X0) != not2(X0)
   => not1(sK7) != not2(sK7) ),
    introduced(choice_axiom,[]) ).

fof(f130,plain,
    not1(sK7) != not2(sK7),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK7])],[f110,f129]) ).

fof(f131,plain,
    ! [X0] :
      ( true = X0
      | false = X0
      | ~ bool(X0) ),
    inference(cnf_transformation,[],[f112]) ).

fof(f132,plain,
    ! [X0] :
      ( bool(X0)
      | false != X0 ),
    inference(cnf_transformation,[],[f112]) ).

fof(f136,plain,
    false != err,
    inference(cnf_transformation,[],[f2]) ).

fof(f137,plain,
    d(true),
    inference(cnf_transformation,[],[f3]) ).

fof(f138,plain,
    d(false),
    inference(cnf_transformation,[],[f3]) ).

fof(f142,plain,
    ! [X0,X1] :
      ( forallprefers(X0,X1)
      | true != X1
      | false != X0 ),
    inference(cnf_transformation,[],[f83]) ).

fof(f147,plain,
    ! [X0] :
      ( ~ d(X0)
      | phi(X0) = X0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f149,plain,
    ! [X0] :
      ( err = phi(X0)
      | phi(X0) = X0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f150,plain,
    ! [X0] :
      ( bool(X0)
      | true != prop(X0) ),
    inference(cnf_transformation,[],[f113]) ).

fof(f151,plain,
    ! [X0] :
      ( true = prop(X0)
      | ~ bool(X0) ),
    inference(cnf_transformation,[],[f113]) ).

fof(f153,plain,
    ! [X0] :
      ( false = prop(X0)
      | bool(X0) ),
    inference(cnf_transformation,[],[f114]) ).

fof(f154,plain,
    ! [X0,X1] :
      ( phi(X0) = impl(X0,X1)
      | bool(X0) ),
    inference(cnf_transformation,[],[f85]) ).

fof(f156,plain,
    ! [X0] :
      ( true = impl(false,X0)
      | ~ bool(X0) ),
    inference(cnf_transformation,[],[f88]) ).

fof(f157,plain,
    ! [X0] :
      ( impl(true,X0) = X0
      | ~ bool(X0) ),
    inference(cnf_transformation,[],[f89]) ).

fof(f159,plain,
    ! [X0] : true = lazy_impl(false,X0),
    inference(cnf_transformation,[],[f52]) ).

fof(f160,plain,
    ! [X0] : phi(X0) = lazy_impl(true,X0),
    inference(cnf_transformation,[],[f53]) ).

fof(f189,plain,
    false = false1,
    inference(cnf_transformation,[],[f38]) ).

fof(f190,plain,
    ! [X0] : f7(X0) = lazy_impl(prop(X0),X0),
    inference(cnf_transformation,[],[f76]) ).

fof(f191,plain,
    false2 = phi(f7(sK6)),
    inference(cnf_transformation,[],[f128]) ).

fof(f192,plain,
    ! [X1] : ~ forallprefers(f7(X1),f7(sK6)),
    inference(cnf_transformation,[],[f128]) ).

fof(f193,plain,
    ! [X0] :
      ( phi(X0) = not1(X0)
      | bool(X0) ),
    inference(cnf_transformation,[],[f109]) ).

fof(f194,plain,
    true = not1(false),
    inference(cnf_transformation,[],[f42]) ).

fof(f195,plain,
    false = not1(true),
    inference(cnf_transformation,[],[f43]) ).

fof(f196,plain,
    ! [X0] : not2(X0) = impl(X0,false2),
    inference(cnf_transformation,[],[f79]) ).

fof(f197,plain,
    not1(sK7) != not2(sK7),
    inference(cnf_transformation,[],[f130]) ).

fof(f205,plain,
    ! [X0] :
      ( bool(X0)
      | false1 != X0 ),
    inference(definition_unfolding,[],[f132,f189]) ).

fof(f206,plain,
    ! [X0] :
      ( true = X0
      | false1 = X0
      | ~ bool(X0) ),
    inference(definition_unfolding,[],[f131,f189]) ).

fof(f207,plain,
    err != false1,
    inference(definition_unfolding,[],[f136,f189]) ).

fof(f209,plain,
    d(false1),
    inference(definition_unfolding,[],[f138,f189]) ).

fof(f210,plain,
    ! [X0,X1] :
      ( forallprefers(X0,X1)
      | true != X1
      | false1 != X0 ),
    inference(definition_unfolding,[],[f142,f189]) ).

fof(f212,plain,
    ! [X0] :
      ( err = lazy_impl(true,X0)
      | lazy_impl(true,X0) = X0 ),
    inference(definition_unfolding,[],[f149,f160,f160]) ).

fof(f214,plain,
    ! [X0] :
      ( ~ d(X0)
      | lazy_impl(true,X0) = X0 ),
    inference(definition_unfolding,[],[f147,f160]) ).

fof(f215,plain,
    ! [X0] :
      ( prop(X0) = false1
      | bool(X0) ),
    inference(definition_unfolding,[],[f153,f189]) ).

fof(f217,plain,
    ! [X0,X1] :
      ( impl(X0,X1) = lazy_impl(true,X0)
      | bool(X0) ),
    inference(definition_unfolding,[],[f154,f160]) ).

fof(f219,plain,
    ! [X0] :
      ( true = impl(false1,X0)
      | ~ bool(X0) ),
    inference(definition_unfolding,[],[f156,f189]) ).

fof(f221,plain,
    ! [X0] : true = lazy_impl(false1,X0),
    inference(definition_unfolding,[],[f159,f189]) ).

fof(f236,plain,
    ! [X1] : ~ forallprefers(lazy_impl(prop(X1),X1),lazy_impl(prop(sK6),sK6)),
    inference(definition_unfolding,[],[f192,f190,f190]) ).

fof(f237,plain,
    false2 = lazy_impl(true,lazy_impl(prop(sK6),sK6)),
    inference(definition_unfolding,[],[f191,f160,f190]) ).

fof(f238,plain,
    ! [X0] :
      ( lazy_impl(true,X0) = not1(X0)
      | bool(X0) ),
    inference(definition_unfolding,[],[f193,f160]) ).

fof(f239,plain,
    true = not1(false1),
    inference(definition_unfolding,[],[f194,f189]) ).

fof(f240,plain,
    false1 = not1(true),
    inference(definition_unfolding,[],[f195,f189]) ).

fof(f241,plain,
    not1(sK7) != impl(sK7,false2),
    inference(definition_unfolding,[],[f197,f196]) ).

fof(f243,plain,
    bool(false1),
    inference(equality_resolution,[],[f205]) ).

fof(f244,plain,
    ! [X0] :
      ( forallprefers(X0,true)
      | false1 != X0 ),
    inference(equality_resolution,[],[f210]) ).

fof(f245,plain,
    forallprefers(false1,true),
    inference(equality_resolution,[],[f244]) ).

cnf(c_50,plain,
    bool(false1),
    inference(cnf_transformation,[],[f243]) ).

cnf(c_51,plain,
    ( ~ bool(X0)
    | X0 = true
    | X0 = false1 ),
    inference(cnf_transformation,[],[f206]) ).

cnf(c_52,plain,
    false1 != err,
    inference(cnf_transformation,[],[f207]) ).

cnf(c_56,plain,
    d(false1),
    inference(cnf_transformation,[],[f209]) ).

cnf(c_57,plain,
    d(true),
    inference(cnf_transformation,[],[f137]) ).

cnf(c_58,plain,
    forallprefers(false1,true),
    inference(cnf_transformation,[],[f245]) ).

cnf(c_64,plain,
    ( lazy_impl(true,X0) = X0
    | lazy_impl(true,X0) = err ),
    inference(cnf_transformation,[],[f212]) ).

cnf(c_66,plain,
    ( ~ d(X0)
    | lazy_impl(true,X0) = X0 ),
    inference(cnf_transformation,[],[f214]) ).

cnf(c_67,plain,
    ( ~ bool(X0)
    | prop(X0) = true ),
    inference(cnf_transformation,[],[f151]) ).

cnf(c_68,plain,
    ( prop(X0) != true
    | bool(X0) ),
    inference(cnf_transformation,[],[f150]) ).

cnf(c_69,plain,
    ( prop(X0) = false1
    | bool(X0) ),
    inference(cnf_transformation,[],[f215]) ).

cnf(c_71,plain,
    ( impl(X0,X1) = lazy_impl(true,X0)
    | bool(X0) ),
    inference(cnf_transformation,[],[f217]) ).

cnf(c_73,plain,
    ( ~ bool(X0)
    | impl(false1,X0) = true ),
    inference(cnf_transformation,[],[f219]) ).

cnf(c_74,plain,
    ( ~ bool(X0)
    | impl(true,X0) = X0 ),
    inference(cnf_transformation,[],[f157]) ).

cnf(c_76,plain,
    lazy_impl(false1,X0) = true,
    inference(cnf_transformation,[],[f221]) ).

cnf(c_94,plain,
    ~ forallprefers(lazy_impl(prop(X0),X0),lazy_impl(prop(sK6),sK6)),
    inference(cnf_transformation,[],[f236]) ).

cnf(c_95,plain,
    lazy_impl(true,lazy_impl(prop(sK6),sK6)) = false2,
    inference(cnf_transformation,[],[f237]) ).

cnf(c_96,plain,
    ( lazy_impl(true,X0) = not1(X0)
    | bool(X0) ),
    inference(cnf_transformation,[],[f238]) ).

cnf(c_97,plain,
    not1(false1) = true,
    inference(cnf_transformation,[],[f239]) ).

cnf(c_98,plain,
    not1(true) = false1,
    inference(cnf_transformation,[],[f240]) ).

cnf(c_99,negated_conjecture,
    impl(sK7,false2) != not1(sK7),
    inference(cnf_transformation,[],[f241]) ).

cnf(c_822,plain,
    impl(sK7,false2) = sP0_iProver_def,
    definition ).

cnf(c_823,plain,
    not1(sK7) = sP1_iProver_def,
    definition ).

cnf(c_824,negated_conjecture,
    sP0_iProver_def != sP1_iProver_def,
    inference(demodulation,[status(thm)],[c_99,c_823,c_822]) ).

cnf(c_1744,plain,
    prop(false1) = true,
    inference(superposition,[status(thm)],[c_50,c_67]) ).

cnf(c_1745,plain,
    ( prop(X0) = true
    | prop(X0) = false1 ),
    inference(superposition,[status(thm)],[c_69,c_67]) ).

cnf(c_1768,plain,
    lazy_impl(true,false1) = false1,
    inference(superposition,[status(thm)],[c_56,c_66]) ).

cnf(c_1769,plain,
    lazy_impl(true,true) = true,
    inference(superposition,[status(thm)],[c_57,c_66]) ).

cnf(c_1852,plain,
    ( lazy_impl(true,X0) = not1(X0)
    | prop(X0) = true ),
    inference(superposition,[status(thm)],[c_96,c_67]) ).

cnf(c_1877,plain,
    ( impl(X0,X1) = lazy_impl(true,X0)
    | prop(X0) = true ),
    inference(superposition,[status(thm)],[c_71,c_67]) ).

cnf(c_2009,plain,
    ~ forallprefers(lazy_impl(true,false1),lazy_impl(prop(sK6),sK6)),
    inference(superposition,[status(thm)],[c_1744,c_94]) ).

cnf(c_2011,plain,
    ~ forallprefers(false1,lazy_impl(prop(sK6),sK6)),
    inference(light_normalisation,[status(thm)],[c_2009,c_1768]) ).

cnf(c_2077,plain,
    ( lazy_impl(true,lazy_impl(prop(sK6),sK6)) = err
    | lazy_impl(prop(sK6),sK6) = false2 ),
    inference(superposition,[status(thm)],[c_64,c_95]) ).

cnf(c_2084,plain,
    ( lazy_impl(prop(sK6),sK6) = false2
    | err = false2 ),
    inference(light_normalisation,[status(thm)],[c_2077,c_95]) ).

cnf(c_2140,plain,
    ( ~ forallprefers(false1,lazy_impl(false1,sK6))
    | prop(sK6) = true ),
    inference(superposition,[status(thm)],[c_1745,c_2011]) ).

cnf(c_3549,plain,
    ( ~ forallprefers(false1,true)
    | prop(sK6) = true ),
    inference(demodulation,[status(thm)],[c_2140,c_76]) ).

cnf(c_3550,plain,
    prop(sK6) = true,
    inference(forward_subsumption_resolution,[status(thm)],[c_3549,c_58]) ).

cnf(c_3551,plain,
    ( lazy_impl(true,sK6) = false2
    | err = false2 ),
    inference(demodulation,[status(thm)],[c_2084,c_3550]) ).

cnf(c_3554,plain,
    ~ forallprefers(false1,lazy_impl(true,sK6)),
    inference(demodulation,[status(thm)],[c_2011,c_3550]) ).

cnf(c_3556,plain,
    lazy_impl(true,lazy_impl(true,sK6)) = false2,
    inference(demodulation,[status(thm)],[c_95,c_3550]) ).

cnf(c_3571,plain,
    bool(sK6),
    inference(superposition,[status(thm)],[c_3550,c_68]) ).

cnf(c_3581,plain,
    ( true = sK6
    | false1 = sK6 ),
    inference(superposition,[status(thm)],[c_3571,c_51]) ).

cnf(c_3586,plain,
    impl(true,sK6) = sK6,
    inference(superposition,[status(thm)],[c_3571,c_74]) ).

cnf(c_3587,plain,
    impl(false1,sK6) = true,
    inference(superposition,[status(thm)],[c_3571,c_73]) ).

cnf(c_3667,plain,
    ( lazy_impl(true,sK6) = err
    | sK6 = false2 ),
    inference(superposition,[status(thm)],[c_64,c_3556]) ).

cnf(c_3696,plain,
    ( lazy_impl(true,lazy_impl(true,false1)) = false2
    | true = sK6 ),
    inference(superposition,[status(thm)],[c_3581,c_3556]) ).

cnf(c_3713,plain,
    ( true = sK6
    | false1 = false2 ),
    inference(light_normalisation,[status(thm)],[c_3696,c_1768]) ).

cnf(c_4055,plain,
    ( lazy_impl(true,false1) = err
    | true = sK6
    | sK6 = false2 ),
    inference(superposition,[status(thm)],[c_3581,c_3667]) ).

cnf(c_4057,plain,
    ( err = false2
    | sK6 = false2 ),
    inference(superposition,[status(thm)],[c_3667,c_3551]) ).

cnf(c_4078,plain,
    ( true = sK6
    | false1 = err
    | sK6 = false2 ),
    inference(light_normalisation,[status(thm)],[c_4055,c_1768]) ).

cnf(c_4079,plain,
    ( true = sK6
    | sK6 = false2 ),
    inference(forward_subsumption_resolution,[status(thm)],[c_4078,c_52]) ).

cnf(c_4118,plain,
    ( impl(sK7,sK6) = sP0_iProver_def
    | err = false2 ),
    inference(superposition,[status(thm)],[c_4057,c_822]) ).

cnf(c_4164,plain,
    ( impl(sK7,sK6) = sP0_iProver_def
    | true = sK6 ),
    inference(superposition,[status(thm)],[c_4079,c_822]) ).

cnf(c_10163,plain,
    ( lazy_impl(true,sK7) = sP0_iProver_def
    | prop(sK7) = true ),
    inference(superposition,[status(thm)],[c_1877,c_822]) ).

cnf(c_10271,plain,
    ( prop(sK7) = true
    | not1(sK7) = sP0_iProver_def ),
    inference(superposition,[status(thm)],[c_10163,c_1852]) ).

cnf(c_10274,plain,
    ( prop(sK7) = true
    | sP0_iProver_def = sP1_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_10271,c_823]) ).

cnf(c_10275,plain,
    prop(sK7) = true,
    inference(forward_subsumption_resolution,[status(thm)],[c_10274,c_824]) ).

cnf(c_10401,plain,
    bool(sK7),
    inference(superposition,[status(thm)],[c_10275,c_68]) ).

cnf(c_10472,plain,
    ( true = sK7
    | false1 = sK7 ),
    inference(superposition,[status(thm)],[c_10401,c_51]) ).

cnf(c_11327,plain,
    ( impl(false1,sK6) = sP0_iProver_def
    | true = sK7
    | err = false2 ),
    inference(superposition,[status(thm)],[c_10472,c_4118]) ).

cnf(c_11329,plain,
    ( not1(false1) = sP1_iProver_def
    | true = sK7 ),
    inference(superposition,[status(thm)],[c_10472,c_823]) ).

cnf(c_11331,plain,
    ( true = sK7
    | true = sP1_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_11329,c_97]) ).

cnf(c_11345,plain,
    ( true = sK7
    | true = sP0_iProver_def
    | err = false2 ),
    inference(light_normalisation,[status(thm)],[c_11327,c_3587]) ).

cnf(c_17169,plain,
    $false,
    inference(smt_impl_just,[status(thm)],[c_11345,c_11331,c_4164,c_4079,c_3713,c_3586,c_3554,c_1769,c_824,c_823,c_98,c_58,c_52]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.11  % Problem  : SWW102+1 : TPTP v8.1.2. Released v5.2.0.
% 0.09/0.12  % Command  : run_iprover %s %d THM
% 0.11/0.32  % Computer : n006.cluster.edu
% 0.11/0.32  % Model    : x86_64 x86_64
% 0.11/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32  % Memory   : 8042.1875MB
% 0.11/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32  % CPULimit : 300
% 0.11/0.32  % WCLimit  : 300
% 0.11/0.32  % DateTime : Thu May  2 22:13:19 EDT 2024
% 0.11/0.32  % CPUTime  : 
% 0.17/0.44  Running first-order theorem proving
% 0.17/0.44  Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 7.62/1.63  % SZS status Started for theBenchmark.p
% 7.62/1.63  % SZS status Theorem for theBenchmark.p
% 7.62/1.63  
% 7.62/1.63  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 7.62/1.63  
% 7.62/1.63  ------  iProver source info
% 7.62/1.63  
% 7.62/1.63  git: date: 2024-05-02 19:28:25 +0000
% 7.62/1.63  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 7.62/1.63  git: non_committed_changes: false
% 7.62/1.63  
% 7.62/1.63  ------ Parsing...
% 7.62/1.63  ------ Clausification by vclausify_rel  & Parsing by iProver...
% 7.62/1.63  
% 7.62/1.63  ------ Preprocessing... sup_sim: 0  sf_s  rm: 1 0s  sf_e  pe_s  pe_e 
% 7.62/1.63  
% 7.62/1.63  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 7.62/1.63  
% 7.62/1.63  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 7.62/1.63  ------ Proving...
% 7.62/1.63  ------ Problem Properties 
% 7.62/1.63  
% 7.62/1.63  
% 7.62/1.63  clauses                                 53
% 7.62/1.63  conjectures                             1
% 7.62/1.63  EPR                                     16
% 7.62/1.63  Horn                                    36
% 7.62/1.63  unary                                   26
% 7.62/1.63  binary                                  19
% 7.62/1.63  lits                                    90
% 7.62/1.63  lits eq                                 37
% 7.62/1.63  fd_pure                                 0
% 7.62/1.63  fd_pseudo                               0
% 7.62/1.63  fd_cond                                 1
% 7.62/1.63  fd_pseudo_cond                          0
% 7.62/1.63  AC symbols                              0
% 7.62/1.63  
% 7.62/1.63  ------ Schedule dynamic 5 is on 
% 7.62/1.63  
% 7.62/1.63  ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 7.62/1.63  
% 7.62/1.63  
% 7.62/1.63  ------ 
% 7.62/1.63  Current options:
% 7.62/1.63  ------ 
% 7.62/1.63  
% 7.62/1.63  
% 7.62/1.63  
% 7.62/1.63  
% 7.62/1.63  ------ Proving...
% 7.62/1.63  
% 7.62/1.63  
% 7.62/1.63  % SZS status Theorem for theBenchmark.p
% 7.62/1.63  
% 7.62/1.63  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 7.62/1.63  
% 7.62/1.64  
%------------------------------------------------------------------------------