TSTP Solution File: SWC122+1 by iProver---3.9

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%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : SWC122+1 : TPTP v8.1.2. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% 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 : Fri May  3 03:11:18 EDT 2024

% Result   : Theorem 12.15s 2.64s
% Output   : CNFRefutation 12.15s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   19
%            Number of leaves      :   13
% Syntax   : Number of formulae    :   76 (  24 unt;   0 def)
%            Number of atoms       :  379 (  86 equ)
%            Maximal formula atoms :   28 (   4 avg)
%            Number of connectives :  466 ( 163   ~; 144   |; 133   &)
%                                         (   4 <=>;  22  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   16 (   5 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    6 (   4 usr;   1 prp; 0-2 aty)
%            Number of functors    :    9 (   9 usr;   5 con; 0-2 aty)
%            Number of variables   :  119 (   0 sgn  63   !;  41   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f6,axiom,
    ! [X0] :
      ( ssList(X0)
     => ! [X1] :
          ( ssList(X1)
         => ( rearsegP(X0,X1)
          <=> ? [X2] :
                ( app(X2,X1) = X0
                & ssList(X2) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax6) ).

fof(f7,axiom,
    ! [X0] :
      ( ssList(X0)
     => ! [X1] :
          ( ssList(X1)
         => ( segmentP(X0,X1)
          <=> ? [X2] :
                ( ? [X3] :
                    ( app(app(X2,X1),X3) = X0
                    & ssList(X3) )
                & ssList(X2) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax7) ).

fof(f17,axiom,
    ssList(nil),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax17) ).

fof(f26,axiom,
    ! [X0] :
      ( ssList(X0)
     => ! [X1] :
          ( ssList(X1)
         => ssList(app(X0,X1)) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax26) ).

fof(f84,axiom,
    ! [X0] :
      ( ssList(X0)
     => app(X0,nil) = X0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax84) ).

fof(f96,conjecture,
    ! [X0] :
      ( ssList(X0)
     => ! [X1] :
          ( ssList(X1)
         => ! [X2] :
              ( ssList(X2)
             => ! [X3] :
                  ( ssList(X3)
                 => ( ( ( ~ rearsegP(X3,X2)
                        | ~ neq(X2,nil) )
                      & neq(X3,nil) )
                    | ( segmentP(X1,X0)
                      & neq(X0,nil) )
                    | ( nil = X3
                      & nil != X2 )
                    | ~ neq(X1,nil)
                    | X0 != X2
                    | X1 != X3 ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).

fof(f97,negated_conjecture,
    ~ ! [X0] :
        ( ssList(X0)
       => ! [X1] :
            ( ssList(X1)
           => ! [X2] :
                ( ssList(X2)
               => ! [X3] :
                    ( ssList(X3)
                   => ( ( ( ~ rearsegP(X3,X2)
                          | ~ neq(X2,nil) )
                        & neq(X3,nil) )
                      | ( segmentP(X1,X0)
                        & neq(X0,nil) )
                      | ( nil = X3
                        & nil != X2 )
                      | ~ neq(X1,nil)
                      | X0 != X2
                      | X1 != X3 ) ) ) ) ),
    inference(negated_conjecture,[],[f96]) ).

fof(f102,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( rearsegP(X0,X1)
          <=> ? [X2] :
                ( app(X2,X1) = X0
                & ssList(X2) ) )
          | ~ ssList(X1) )
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f6]) ).

fof(f103,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( segmentP(X0,X1)
          <=> ? [X2] :
                ( ? [X3] :
                    ( app(app(X2,X1),X3) = X0
                    & ssList(X3) )
                & ssList(X2) ) )
          | ~ ssList(X1) )
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f7]) ).

fof(f132,plain,
    ! [X0] :
      ( ! [X1] :
          ( ssList(app(X0,X1))
          | ~ ssList(X1) )
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f26]) ).

fof(f201,plain,
    ! [X0] :
      ( app(X0,nil) = X0
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f84]) ).

fof(f221,plain,
    ? [X0] :
      ( ? [X1] :
          ( ? [X2] :
              ( ? [X3] :
                  ( ( ( rearsegP(X3,X2)
                      & neq(X2,nil) )
                    | ~ neq(X3,nil) )
                  & ( ~ segmentP(X1,X0)
                    | ~ neq(X0,nil) )
                  & ( nil != X3
                    | nil = X2 )
                  & neq(X1,nil)
                  & X0 = X2
                  & X1 = X3
                  & ssList(X3) )
              & ssList(X2) )
          & ssList(X1) )
      & ssList(X0) ),
    inference(ennf_transformation,[],[f97]) ).

fof(f222,plain,
    ? [X0] :
      ( ? [X1] :
          ( ? [X2] :
              ( ? [X3] :
                  ( ( ( rearsegP(X3,X2)
                      & neq(X2,nil) )
                    | ~ neq(X3,nil) )
                  & ( ~ segmentP(X1,X0)
                    | ~ neq(X0,nil) )
                  & ( nil != X3
                    | nil = X2 )
                  & neq(X1,nil)
                  & X0 = X2
                  & X1 = X3
                  & ssList(X3) )
              & ssList(X2) )
          & ssList(X1) )
      & ssList(X0) ),
    inference(flattening,[],[f221]) ).

fof(f249,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( ( rearsegP(X0,X1)
              | ! [X2] :
                  ( app(X2,X1) != X0
                  | ~ ssList(X2) ) )
            & ( ? [X2] :
                  ( app(X2,X1) = X0
                  & ssList(X2) )
              | ~ rearsegP(X0,X1) ) )
          | ~ ssList(X1) )
      | ~ ssList(X0) ),
    inference(nnf_transformation,[],[f102]) ).

fof(f250,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( ( rearsegP(X0,X1)
              | ! [X2] :
                  ( app(X2,X1) != X0
                  | ~ ssList(X2) ) )
            & ( ? [X3] :
                  ( app(X3,X1) = X0
                  & ssList(X3) )
              | ~ rearsegP(X0,X1) ) )
          | ~ ssList(X1) )
      | ~ ssList(X0) ),
    inference(rectify,[],[f249]) ).

fof(f251,plain,
    ! [X0,X1] :
      ( ? [X3] :
          ( app(X3,X1) = X0
          & ssList(X3) )
     => ( app(sK12(X0,X1),X1) = X0
        & ssList(sK12(X0,X1)) ) ),
    introduced(choice_axiom,[]) ).

fof(f252,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( ( rearsegP(X0,X1)
              | ! [X2] :
                  ( app(X2,X1) != X0
                  | ~ ssList(X2) ) )
            & ( ( app(sK12(X0,X1),X1) = X0
                & ssList(sK12(X0,X1)) )
              | ~ rearsegP(X0,X1) ) )
          | ~ ssList(X1) )
      | ~ ssList(X0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK12])],[f250,f251]) ).

fof(f253,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( ( segmentP(X0,X1)
              | ! [X2] :
                  ( ! [X3] :
                      ( app(app(X2,X1),X3) != X0
                      | ~ ssList(X3) )
                  | ~ ssList(X2) ) )
            & ( ? [X2] :
                  ( ? [X3] :
                      ( app(app(X2,X1),X3) = X0
                      & ssList(X3) )
                  & ssList(X2) )
              | ~ segmentP(X0,X1) ) )
          | ~ ssList(X1) )
      | ~ ssList(X0) ),
    inference(nnf_transformation,[],[f103]) ).

fof(f254,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( ( segmentP(X0,X1)
              | ! [X2] :
                  ( ! [X3] :
                      ( app(app(X2,X1),X3) != X0
                      | ~ ssList(X3) )
                  | ~ ssList(X2) ) )
            & ( ? [X4] :
                  ( ? [X5] :
                      ( app(app(X4,X1),X5) = X0
                      & ssList(X5) )
                  & ssList(X4) )
              | ~ segmentP(X0,X1) ) )
          | ~ ssList(X1) )
      | ~ ssList(X0) ),
    inference(rectify,[],[f253]) ).

fof(f255,plain,
    ! [X0,X1] :
      ( ? [X4] :
          ( ? [X5] :
              ( app(app(X4,X1),X5) = X0
              & ssList(X5) )
          & ssList(X4) )
     => ( ? [X5] :
            ( app(app(sK13(X0,X1),X1),X5) = X0
            & ssList(X5) )
        & ssList(sK13(X0,X1)) ) ),
    introduced(choice_axiom,[]) ).

fof(f256,plain,
    ! [X0,X1] :
      ( ? [X5] :
          ( app(app(sK13(X0,X1),X1),X5) = X0
          & ssList(X5) )
     => ( app(app(sK13(X0,X1),X1),sK14(X0,X1)) = X0
        & ssList(sK14(X0,X1)) ) ),
    introduced(choice_axiom,[]) ).

fof(f257,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( ( segmentP(X0,X1)
              | ! [X2] :
                  ( ! [X3] :
                      ( app(app(X2,X1),X3) != X0
                      | ~ ssList(X3) )
                  | ~ ssList(X2) ) )
            & ( ( app(app(sK13(X0,X1),X1),sK14(X0,X1)) = X0
                & ssList(sK14(X0,X1))
                & ssList(sK13(X0,X1)) )
              | ~ segmentP(X0,X1) ) )
          | ~ ssList(X1) )
      | ~ ssList(X0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK13,sK14])],[f254,f256,f255]) ).

fof(f343,plain,
    ( ? [X0] :
        ( ? [X1] :
            ( ? [X2] :
                ( ? [X3] :
                    ( ( ( rearsegP(X3,X2)
                        & neq(X2,nil) )
                      | ~ neq(X3,nil) )
                    & ( ~ segmentP(X1,X0)
                      | ~ neq(X0,nil) )
                    & ( nil != X3
                      | nil = X2 )
                    & neq(X1,nil)
                    & X0 = X2
                    & X1 = X3
                    & ssList(X3) )
                & ssList(X2) )
            & ssList(X1) )
        & ssList(X0) )
   => ( ? [X1] :
          ( ? [X2] :
              ( ? [X3] :
                  ( ( ( rearsegP(X3,X2)
                      & neq(X2,nil) )
                    | ~ neq(X3,nil) )
                  & ( ~ segmentP(X1,sK53)
                    | ~ neq(sK53,nil) )
                  & ( nil != X3
                    | nil = X2 )
                  & neq(X1,nil)
                  & sK53 = X2
                  & X1 = X3
                  & ssList(X3) )
              & ssList(X2) )
          & ssList(X1) )
      & ssList(sK53) ) ),
    introduced(choice_axiom,[]) ).

fof(f344,plain,
    ( ? [X1] :
        ( ? [X2] :
            ( ? [X3] :
                ( ( ( rearsegP(X3,X2)
                    & neq(X2,nil) )
                  | ~ neq(X3,nil) )
                & ( ~ segmentP(X1,sK53)
                  | ~ neq(sK53,nil) )
                & ( nil != X3
                  | nil = X2 )
                & neq(X1,nil)
                & sK53 = X2
                & X1 = X3
                & ssList(X3) )
            & ssList(X2) )
        & ssList(X1) )
   => ( ? [X2] :
          ( ? [X3] :
              ( ( ( rearsegP(X3,X2)
                  & neq(X2,nil) )
                | ~ neq(X3,nil) )
              & ( ~ segmentP(sK54,sK53)
                | ~ neq(sK53,nil) )
              & ( nil != X3
                | nil = X2 )
              & neq(sK54,nil)
              & sK53 = X2
              & sK54 = X3
              & ssList(X3) )
          & ssList(X2) )
      & ssList(sK54) ) ),
    introduced(choice_axiom,[]) ).

fof(f345,plain,
    ( ? [X2] :
        ( ? [X3] :
            ( ( ( rearsegP(X3,X2)
                & neq(X2,nil) )
              | ~ neq(X3,nil) )
            & ( ~ segmentP(sK54,sK53)
              | ~ neq(sK53,nil) )
            & ( nil != X3
              | nil = X2 )
            & neq(sK54,nil)
            & sK53 = X2
            & sK54 = X3
            & ssList(X3) )
        & ssList(X2) )
   => ( ? [X3] :
          ( ( ( rearsegP(X3,sK55)
              & neq(sK55,nil) )
            | ~ neq(X3,nil) )
          & ( ~ segmentP(sK54,sK53)
            | ~ neq(sK53,nil) )
          & ( nil != X3
            | nil = sK55 )
          & neq(sK54,nil)
          & sK53 = sK55
          & sK54 = X3
          & ssList(X3) )
      & ssList(sK55) ) ),
    introduced(choice_axiom,[]) ).

fof(f346,plain,
    ( ? [X3] :
        ( ( ( rearsegP(X3,sK55)
            & neq(sK55,nil) )
          | ~ neq(X3,nil) )
        & ( ~ segmentP(sK54,sK53)
          | ~ neq(sK53,nil) )
        & ( nil != X3
          | nil = sK55 )
        & neq(sK54,nil)
        & sK53 = sK55
        & sK54 = X3
        & ssList(X3) )
   => ( ( ( rearsegP(sK56,sK55)
          & neq(sK55,nil) )
        | ~ neq(sK56,nil) )
      & ( ~ segmentP(sK54,sK53)
        | ~ neq(sK53,nil) )
      & ( nil != sK56
        | nil = sK55 )
      & neq(sK54,nil)
      & sK53 = sK55
      & sK54 = sK56
      & ssList(sK56) ) ),
    introduced(choice_axiom,[]) ).

fof(f347,plain,
    ( ( ( rearsegP(sK56,sK55)
        & neq(sK55,nil) )
      | ~ neq(sK56,nil) )
    & ( ~ segmentP(sK54,sK53)
      | ~ neq(sK53,nil) )
    & ( nil != sK56
      | nil = sK55 )
    & neq(sK54,nil)
    & sK53 = sK55
    & sK54 = sK56
    & ssList(sK56)
    & ssList(sK55)
    & ssList(sK54)
    & ssList(sK53) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK53,sK54,sK55,sK56])],[f222,f346,f345,f344,f343]) ).

fof(f363,plain,
    ! [X0,X1] :
      ( ssList(sK12(X0,X1))
      | ~ rearsegP(X0,X1)
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f252]) ).

fof(f364,plain,
    ! [X0,X1] :
      ( app(sK12(X0,X1),X1) = X0
      | ~ rearsegP(X0,X1)
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f252]) ).

fof(f369,plain,
    ! [X2,X3,X0,X1] :
      ( segmentP(X0,X1)
      | app(app(X2,X1),X3) != X0
      | ~ ssList(X3)
      | ~ ssList(X2)
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f257]) ).

fof(f440,plain,
    ssList(nil),
    inference(cnf_transformation,[],[f17]) ).

fof(f452,plain,
    ! [X0,X1] :
      ( ssList(app(X0,X1))
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f132]) ).

fof(f533,plain,
    ! [X0] :
      ( app(X0,nil) = X0
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f201]) ).

fof(f547,plain,
    ssList(sK53),
    inference(cnf_transformation,[],[f347]) ).

fof(f548,plain,
    ssList(sK54),
    inference(cnf_transformation,[],[f347]) ).

fof(f551,plain,
    sK54 = sK56,
    inference(cnf_transformation,[],[f347]) ).

fof(f552,plain,
    sK53 = sK55,
    inference(cnf_transformation,[],[f347]) ).

fof(f553,plain,
    neq(sK54,nil),
    inference(cnf_transformation,[],[f347]) ).

fof(f555,plain,
    ( ~ segmentP(sK54,sK53)
    | ~ neq(sK53,nil) ),
    inference(cnf_transformation,[],[f347]) ).

fof(f556,plain,
    ( neq(sK55,nil)
    | ~ neq(sK56,nil) ),
    inference(cnf_transformation,[],[f347]) ).

fof(f557,plain,
    ( rearsegP(sK56,sK55)
    | ~ neq(sK56,nil) ),
    inference(cnf_transformation,[],[f347]) ).

fof(f558,plain,
    ( ~ segmentP(sK56,sK55)
    | ~ neq(sK55,nil) ),
    inference(definition_unfolding,[],[f555,f551,f552,f552]) ).

fof(f559,plain,
    neq(sK56,nil),
    inference(definition_unfolding,[],[f553,f551]) ).

fof(f560,plain,
    ssList(sK56),
    inference(definition_unfolding,[],[f548,f551]) ).

fof(f561,plain,
    ssList(sK55),
    inference(definition_unfolding,[],[f547,f552]) ).

fof(f567,plain,
    ! [X2,X3,X1] :
      ( segmentP(app(app(X2,X1),X3),X1)
      | ~ ssList(X3)
      | ~ ssList(X2)
      | ~ ssList(X1)
      | ~ ssList(app(app(X2,X1),X3)) ),
    inference(equality_resolution,[],[f369]) ).

cnf(c_65,plain,
    ( ~ rearsegP(X0,X1)
    | ~ ssList(X0)
    | ~ ssList(X1)
    | app(sK12(X0,X1),X1) = X0 ),
    inference(cnf_transformation,[],[f364]) ).

cnf(c_66,plain,
    ( ~ rearsegP(X0,X1)
    | ~ ssList(X0)
    | ~ ssList(X1)
    | ssList(sK12(X0,X1)) ),
    inference(cnf_transformation,[],[f363]) ).

cnf(c_67,plain,
    ( ~ ssList(app(app(X0,X1),X2))
    | ~ ssList(X0)
    | ~ ssList(X1)
    | ~ ssList(X2)
    | segmentP(app(app(X0,X1),X2),X1) ),
    inference(cnf_transformation,[],[f567]) ).

cnf(c_141,plain,
    ssList(nil),
    inference(cnf_transformation,[],[f440]) ).

cnf(c_153,plain,
    ( ~ ssList(X0)
    | ~ ssList(X1)
    | ssList(app(X0,X1)) ),
    inference(cnf_transformation,[],[f452]) ).

cnf(c_232,plain,
    ( ~ ssList(X0)
    | app(X0,nil) = X0 ),
    inference(cnf_transformation,[],[f533]) ).

cnf(c_246,negated_conjecture,
    ( ~ neq(sK56,nil)
    | rearsegP(sK56,sK55) ),
    inference(cnf_transformation,[],[f557]) ).

cnf(c_247,negated_conjecture,
    ( ~ neq(sK56,nil)
    | neq(sK55,nil) ),
    inference(cnf_transformation,[],[f556]) ).

cnf(c_248,negated_conjecture,
    ( ~ neq(sK55,nil)
    | ~ segmentP(sK56,sK55) ),
    inference(cnf_transformation,[],[f558]) ).

cnf(c_250,negated_conjecture,
    neq(sK56,nil),
    inference(cnf_transformation,[],[f559]) ).

cnf(c_253,negated_conjecture,
    ssList(sK56),
    inference(cnf_transformation,[],[f560]) ).

cnf(c_254,negated_conjecture,
    ssList(sK55),
    inference(cnf_transformation,[],[f561]) ).

cnf(c_369,negated_conjecture,
    rearsegP(sK56,sK55),
    inference(global_subsumption_just,[status(thm)],[c_246,c_250,c_246]) ).

cnf(c_371,negated_conjecture,
    ~ segmentP(sK56,sK55),
    inference(global_subsumption_just,[status(thm)],[c_248,c_250,c_247,c_248]) ).

cnf(c_8819,negated_conjecture,
    ~ segmentP(sK56,sK55),
    inference(demodulation,[status(thm)],[c_371]) ).

cnf(c_8820,negated_conjecture,
    rearsegP(sK56,sK55),
    inference(demodulation,[status(thm)],[c_369]) ).

cnf(c_8821,negated_conjecture,
    ssList(sK55),
    inference(demodulation,[status(thm)],[c_254]) ).

cnf(c_8822,negated_conjecture,
    ssList(sK56),
    inference(demodulation,[status(thm)],[c_253]) ).

cnf(c_12021,plain,
    app(sK56,nil) = sK56,
    inference(superposition,[status(thm)],[c_8822,c_232]) ).

cnf(c_16986,plain,
    ( ~ ssList(sK56)
    | ~ ssList(sK55)
    | app(sK12(sK56,sK55),sK55) = sK56 ),
    inference(superposition,[status(thm)],[c_8820,c_65]) ).

cnf(c_16998,plain,
    app(sK12(sK56,sK55),sK55) = sK56,
    inference(forward_subsumption_resolution,[status(thm)],[c_16986,c_8821,c_8822]) ).

cnf(c_24370,plain,
    ( ~ ssList(app(app(sK12(sK56,sK55),sK55),X0))
    | ~ ssList(sK12(sK56,sK55))
    | ~ ssList(X0)
    | ~ ssList(sK55)
    | segmentP(app(sK56,X0),sK55) ),
    inference(superposition,[status(thm)],[c_16998,c_67]) ).

cnf(c_24464,plain,
    ( ~ ssList(app(sK56,X0))
    | ~ ssList(sK12(sK56,sK55))
    | ~ ssList(X0)
    | ~ ssList(sK55)
    | segmentP(app(sK56,X0),sK55) ),
    inference(light_normalisation,[status(thm)],[c_24370,c_16998]) ).

cnf(c_24465,plain,
    ( ~ ssList(app(sK56,X0))
    | ~ ssList(sK12(sK56,sK55))
    | ~ ssList(X0)
    | segmentP(app(sK56,X0),sK55) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_24464,c_8821]) ).

cnf(c_33576,plain,
    ( ~ ssList(X0)
    | ~ ssList(sK56)
    | ssList(app(sK56,X0)) ),
    inference(instantiation,[status(thm)],[c_153]) ).

cnf(c_38172,plain,
    ( ~ ssList(sK12(sK56,sK55))
    | ~ ssList(X0)
    | segmentP(app(sK56,X0),sK55) ),
    inference(global_subsumption_just,[status(thm)],[c_24465,c_253,c_24465,c_33576]) ).

cnf(c_38181,plain,
    ( ~ ssList(sK12(sK56,sK55))
    | ~ ssList(nil)
    | segmentP(sK56,sK55) ),
    inference(superposition,[status(thm)],[c_12021,c_38172]) ).

cnf(c_38185,plain,
    ~ ssList(sK12(sK56,sK55)),
    inference(forward_subsumption_resolution,[status(thm)],[c_38181,c_8819,c_141]) ).

cnf(c_38186,plain,
    ( ~ rearsegP(sK56,sK55)
    | ~ ssList(sK56)
    | ~ ssList(sK55) ),
    inference(superposition,[status(thm)],[c_66,c_38185]) ).

cnf(c_38187,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[c_38186,c_8821,c_8822,c_8820]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.10  % Problem  : SWC122+1 : TPTP v8.1.2. Released v2.4.0.
% 0.05/0.11  % Command  : run_iprover %s %d THM
% 0.11/0.32  % Computer : n022.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 23:33:12 EDT 2024
% 0.11/0.32  % CPUTime  : 
% 0.16/0.43  Running first-order theorem proving
% 0.16/0.43  Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 12.15/2.64  % SZS status Started for theBenchmark.p
% 12.15/2.64  % SZS status Theorem for theBenchmark.p
% 12.15/2.64  
% 12.15/2.64  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 12.15/2.64  
% 12.15/2.64  ------  iProver source info
% 12.15/2.64  
% 12.15/2.64  git: date: 2024-05-02 19:28:25 +0000
% 12.15/2.64  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 12.15/2.64  git: non_committed_changes: false
% 12.15/2.64  
% 12.15/2.64  ------ Parsing...
% 12.15/2.64  ------ Clausification by vclausify_rel  & Parsing by iProver...
% 12.15/2.64  
% 12.15/2.64  ------ Preprocessing... sup_sim: 0  sf_s  rm: 1 0s  sf_e  pe_s  pe:1:0s pe:2:0s pe:4:0s pe_e  sup_sim: 0  sf_s  rm: 5 0s  sf_e  pe_s  pe_e 
% 12.15/2.64  
% 12.15/2.64  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 12.15/2.64  
% 12.15/2.64  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 12.15/2.64  ------ Proving...
% 12.15/2.64  ------ Problem Properties 
% 12.15/2.64  
% 12.15/2.64  
% 12.15/2.64  clauses                                 186
% 12.15/2.64  conjectures                             4
% 12.15/2.64  EPR                                     55
% 12.15/2.64  Horn                                    118
% 12.15/2.64  unary                                   22
% 12.15/2.64  binary                                  40
% 12.15/2.64  lits                                    624
% 12.15/2.64  lits eq                                 80
% 12.15/2.64  fd_pure                                 0
% 12.15/2.64  fd_pseudo                               0
% 12.15/2.64  fd_cond                                 21
% 12.15/2.64  fd_pseudo_cond                          14
% 12.15/2.64  AC symbols                              0
% 12.15/2.64  
% 12.15/2.64  ------ Schedule dynamic 5 is on 
% 12.15/2.64  
% 12.15/2.64  ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 12.15/2.64  
% 12.15/2.64  
% 12.15/2.64  ------ 
% 12.15/2.64  Current options:
% 12.15/2.64  ------ 
% 12.15/2.64  
% 12.15/2.64  
% 12.15/2.64  
% 12.15/2.64  
% 12.15/2.64  ------ Proving...
% 12.15/2.64  
% 12.15/2.64  
% 12.15/2.64  % SZS status Theorem for theBenchmark.p
% 12.15/2.64  
% 12.15/2.64  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 12.15/2.64  
% 12.15/2.64  
%------------------------------------------------------------------------------