TSTP Solution File: SWW102+1 by iProver---3.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.8
% Problem  : SWW102+1 : TPTP v8.1.2. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% 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 : Fri Sep  1 00:38:22 EDT 2023

% Result   : Theorem 2.20s 1.32s
% Output   : CNFRefutation 2.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   26
%            Number of leaves      :   21
% Syntax   : Number of formulae    :  139 (  64 unt;   0 def)
%            Number of atoms       :  260 ( 154 equ)
%            Maximal formula atoms :    9 (   1 avg)
%            Number of connectives :  202 (  81   ~;  78   |;  28   &)
%                                         (   4 <=>;  11  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   3 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :   14 (  14 usr;   7 con; 0-2 aty)
%            Number of variables   :   99 (   3 sgn;  75   !;   8   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    ! [X0] :
      ( bool(X0)
    <=> ( true = X0
        | false = X0 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',def_bool) ).

fof(f3,axiom,
    ( d(err)
    & d(false)
    & d(true) ),
    file('/export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p',def_forallprefers) ).

fof(f6,axiom,
    ! [X0] :
      ( ( err = phi(X0)
        & ~ d(X0) )
      | ( phi(X0) = X0
        & d(X0) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',def_phi) ).

fof(f7,axiom,
    ! [X0] :
      ( true = prop(X0)
    <=> bool(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prop_true) ).

fof(f8,axiom,
    ! [X0] :
      ( false = prop(X0)
    <=> ~ bool(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prop_false) ).

fof(f9,axiom,
    ! [X2,X3] :
      ( ~ bool(X2)
     => impl(X2,X3) = phi(X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',impl_axiom1) ).

fof(f11,axiom,
    ! [X3] :
      ( bool(X3)
     => true = impl(false,X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',impl_axiom3) ).

fof(f12,axiom,
    ! [X3] :
      ( bool(X3)
     => impl(true,X3) = X3 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',impl_axiom4) ).

fof(f14,axiom,
    ! [X3] : true = lazy_impl(false,X3),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lazy_impl_axiom2) ).

fof(f15,axiom,
    ! [X3] : phi(X3) = lazy_impl(true,X3),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lazy_impl_axiom3) ).

fof(f38,axiom,
    false = false1,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',def_false1) ).

fof(f39,axiom,
    ! [X4] : f7(X4) = lazy_impl(prop(X4),X4),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',def_f7) ).

fof(f40,axiom,
    ? [X4] :
      ( ~ ? [X9] : forallprefers(f7(X9),f7(X4))
      & false2 = phi(f7(X4)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',def_false2) ).

fof(f41,axiom,
    ! [X2] :
      ( ~ bool(X2)
     => phi(X2) = not1(X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not1_axiom1) ).

fof(f42,axiom,
    true = not1(false),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not1_axiom2) ).

fof(f43,axiom,
    false = not1(true),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not1_axiom3) ).

fof(f44,axiom,
    ! [X4] : not2(X4) = impl(X4,false2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',def_not2) ).

fof(f45,conjecture,
    ! [X4] : not2(X4) = not1(X4),
    file('/export/starexec/sandbox2/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(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(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(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(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_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_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_1729,plain,
    prop(false1) = true,
    inference(superposition,[status(thm)],[c_50,c_67]) ).

cnf(c_1730,plain,
    ( prop(X0) = true
    | prop(X0) = false1 ),
    inference(superposition,[status(thm)],[c_69,c_67]) ).

cnf(c_1756,plain,
    lazy_impl(true,false1) = false1,
    inference(superposition,[status(thm)],[c_56,c_66]) ).

cnf(c_1757,plain,
    lazy_impl(true,true) = true,
    inference(superposition,[status(thm)],[c_57,c_66]) ).

cnf(c_1771,plain,
    impl(false1,false1) = true,
    inference(superposition,[status(thm)],[c_50,c_73]) ).

cnf(c_1780,plain,
    impl(true,false1) = false1,
    inference(superposition,[status(thm)],[c_50,c_74]) ).

cnf(c_1849,plain,
    ( lazy_impl(true,X0) = not1(X0)
    | prop(X0) = true ),
    inference(superposition,[status(thm)],[c_96,c_67]) ).

cnf(c_1897,plain,
    ( impl(X0,X1) = lazy_impl(true,X0)
    | prop(X0) = true ),
    inference(superposition,[status(thm)],[c_71,c_67]) ).

cnf(c_2036,plain,
    ~ forallprefers(lazy_impl(true,false1),lazy_impl(prop(sK6),sK6)),
    inference(superposition,[status(thm)],[c_1729,c_94]) ).

cnf(c_2039,plain,
    ~ forallprefers(false1,lazy_impl(prop(sK6),sK6)),
    inference(light_normalisation,[status(thm)],[c_2036,c_1756]) ).

cnf(c_2270,plain,
    ( ~ forallprefers(false1,lazy_impl(false1,sK6))
    | prop(sK6) = true ),
    inference(superposition,[status(thm)],[c_1730,c_2039]) ).

cnf(c_3555,plain,
    ( ~ forallprefers(false1,true)
    | prop(sK6) = true ),
    inference(demodulation,[status(thm)],[c_2270,c_76]) ).

cnf(c_3556,plain,
    prop(sK6) = true,
    inference(forward_subsumption_resolution,[status(thm)],[c_3555,c_58]) ).

cnf(c_3560,plain,
    ~ forallprefers(false1,lazy_impl(true,sK6)),
    inference(demodulation,[status(thm)],[c_2039,c_3556]) ).

cnf(c_3562,plain,
    lazy_impl(true,lazy_impl(true,sK6)) = false2,
    inference(demodulation,[status(thm)],[c_95,c_3556]) ).

cnf(c_3577,plain,
    bool(sK6),
    inference(superposition,[status(thm)],[c_3556,c_68]) ).

cnf(c_3587,plain,
    ( true = sK6
    | false1 = sK6 ),
    inference(superposition,[status(thm)],[c_3577,c_51]) ).

cnf(c_3688,plain,
    ( lazy_impl(true,lazy_impl(true,false1)) = false2
    | true = sK6 ),
    inference(superposition,[status(thm)],[c_3587,c_3562]) ).

cnf(c_3705,plain,
    ( true = sK6
    | false1 = false2 ),
    inference(light_normalisation,[status(thm)],[c_3688,c_1756]) ).

cnf(c_3730,plain,
    ( impl(sK7,false1) != not1(sK7)
    | true = sK6 ),
    inference(superposition,[status(thm)],[c_3705,c_99]) ).

cnf(c_7906,plain,
    ( lazy_impl(true,sK7) != not1(sK7)
    | prop(sK7) = true ),
    inference(superposition,[status(thm)],[c_1897,c_99]) ).

cnf(c_8291,plain,
    prop(sK7) = true,
    inference(forward_subsumption_resolution,[status(thm)],[c_7906,c_1849]) ).

cnf(c_8310,plain,
    bool(sK7),
    inference(superposition,[status(thm)],[c_8291,c_68]) ).

cnf(c_8357,plain,
    ( true = sK7
    | false1 = sK7 ),
    inference(superposition,[status(thm)],[c_8310,c_51]) ).

cnf(c_8866,plain,
    ( impl(false1,false1) != not1(false1)
    | true = sK6
    | true = sK7 ),
    inference(superposition,[status(thm)],[c_8357,c_3730]) ).

cnf(c_8876,plain,
    ( true != true
    | true = sK6
    | true = sK7 ),
    inference(light_normalisation,[status(thm)],[c_8866,c_97,c_1771]) ).

cnf(c_8877,plain,
    ( true = sK6
    | true = sK7 ),
    inference(equality_resolution_simp,[status(thm)],[c_8876]) ).

cnf(c_8907,plain,
    ( impl(true,false1) != not1(true)
    | true = sK6 ),
    inference(superposition,[status(thm)],[c_8877,c_3730]) ).

cnf(c_8914,plain,
    ( false1 != false1
    | true = sK6 ),
    inference(light_normalisation,[status(thm)],[c_8907,c_98,c_1780]) ).

cnf(c_8915,plain,
    true = sK6,
    inference(equality_resolution_simp,[status(thm)],[c_8914]) ).

cnf(c_8971,plain,
    ~ forallprefers(false1,lazy_impl(true,true)),
    inference(demodulation,[status(thm)],[c_3560,c_8915]) ).

cnf(c_8976,plain,
    ~ forallprefers(false1,true),
    inference(light_normalisation,[status(thm)],[c_8971,c_1757]) ).

cnf(c_8977,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[c_8976,c_58]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13  % Problem  : SWW102+1 : TPTP v8.1.2. Released v5.2.0.
% 0.08/0.14  % Command  : run_iprover %s %d THM
% 0.14/0.36  % Computer : n002.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit : 300
% 0.14/0.36  % WCLimit  : 300
% 0.14/0.36  % DateTime : Sun Aug 27 20:43:19 EDT 2023
% 0.14/0.36  % CPUTime  : 
% 0.21/0.58  Running first-order theorem proving
% 0.21/0.58  Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 2.20/1.32  % SZS status Started for theBenchmark.p
% 2.20/1.32  % SZS status Theorem for theBenchmark.p
% 2.20/1.32  
% 2.20/1.32  %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 2.20/1.32  
% 2.20/1.32  ------  iProver source info
% 2.20/1.32  
% 2.20/1.32  git: date: 2023-05-31 18:12:56 +0000
% 2.20/1.32  git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 2.20/1.32  git: non_committed_changes: false
% 2.20/1.32  git: last_make_outside_of_git: false
% 2.20/1.32  
% 2.20/1.32  ------ Parsing...
% 2.20/1.32  ------ Clausification by vclausify_rel  & Parsing by iProver...
% 2.20/1.32  
% 2.20/1.32  ------ Preprocessing... sup_sim: 0  sf_s  rm: 1 0s  sf_e  pe_s  pe_e 
% 2.20/1.32  
% 2.20/1.32  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 2.20/1.32  
% 2.20/1.32  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 2.20/1.32  ------ Proving...
% 2.20/1.32  ------ Problem Properties 
% 2.20/1.32  
% 2.20/1.32  
% 2.20/1.32  clauses                                 51
% 2.20/1.32  conjectures                             1
% 2.20/1.32  EPR                                     15
% 2.20/1.32  Horn                                    34
% 2.20/1.32  unary                                   24
% 2.20/1.32  binary                                  19
% 2.20/1.32  lits                                    88
% 2.20/1.32  lits eq                                 35
% 2.20/1.32  fd_pure                                 0
% 2.20/1.32  fd_pseudo                               0
% 2.20/1.32  fd_cond                                 1
% 2.20/1.32  fd_pseudo_cond                          0
% 2.20/1.32  AC symbols                              0
% 2.20/1.32  
% 2.20/1.32  ------ Schedule dynamic 5 is on 
% 2.20/1.32  
% 2.20/1.32  ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 2.20/1.32  
% 2.20/1.32  
% 2.20/1.32  ------ 
% 2.20/1.32  Current options:
% 2.20/1.32  ------ 
% 2.20/1.32  
% 2.20/1.32  
% 2.20/1.32  
% 2.20/1.32  
% 2.20/1.32  ------ Proving...
% 2.20/1.32  
% 2.20/1.32  
% 2.20/1.32  % SZS status Theorem for theBenchmark.p
% 2.20/1.32  
% 2.20/1.32  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.20/1.32  
% 2.20/1.33  
%------------------------------------------------------------------------------