TSTP Solution File: SWC325+1 by iProver---3.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.8
% Problem  : SWC325+1 : TPTP v8.1.2. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n027.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 : Thu Aug 31 20:42:33 EDT 2023

% Result   : Theorem 4.03s 1.18s
% Output   : CNFRefutation 4.03s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named f597)

% Comments : 
%------------------------------------------------------------------------------
fof(f15,axiom,
    ! [X0] :
      ( ssList(X0)
     => ! [X1] :
          ( ssList(X1)
         => ( neq(X0,X1)
          <=> X0 != X1 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax15) ).

fof(f16,axiom,
    ! [X0] :
      ( ssList(X0)
     => ! [X1] :
          ( ssItem(X1)
         => ssList(cons(X1,X0)) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax16) ).

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

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

fof(f96,conjecture,
    ! [X0] :
      ( ssList(X0)
     => ! [X1] :
          ( ssList(X1)
         => ! [X2] :
              ( ssList(X2)
             => ! [X3] :
                  ( ssList(X3)
                 => ( ( neq(X3,nil)
                      & ! [X6] :
                          ( ssItem(X6)
                         => ! [X7] :
                              ( ssList(X7)
                             => ( app(X7,cons(X6,nil)) != X3
                                | app(cons(X6,nil),X7) != X2 ) ) ) )
                    | ( nil = X3
                      & nil != X2 )
                    | ? [X4] :
                        ( ? [X5] :
                            ( app(X5,X4) = X0
                            & app(X4,X5) = X1
                            & ssList(X5) )
                        & ssList(X4) )
                    | X0 != X2
                    | X1 != X3 ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).

fof(f97,negated_conjecture,
    ~ ! [X0] :
        ( ssList(X0)
       => ! [X1] :
            ( ssList(X1)
           => ! [X2] :
                ( ssList(X2)
               => ! [X3] :
                    ( ssList(X3)
                   => ( ( neq(X3,nil)
                        & ! [X6] :
                            ( ssItem(X6)
                           => ! [X7] :
                                ( ssList(X7)
                               => ( app(X7,cons(X6,nil)) != X3
                                  | app(cons(X6,nil),X7) != X2 ) ) ) )
                      | ( nil = X3
                        & nil != X2 )
                      | ? [X4] :
                          ( ? [X5] :
                              ( app(X5,X4) = X0
                              & app(X4,X5) = X1
                              & ssList(X5) )
                          & ssList(X4) )
                      | X0 != X2
                      | X1 != X3 ) ) ) ) ),
    inference(negated_conjecture,[],[f96]) ).

fof(f98,plain,
    ~ ! [X0] :
        ( ssList(X0)
       => ! [X1] :
            ( ssList(X1)
           => ! [X2] :
                ( ssList(X2)
               => ! [X3] :
                    ( ssList(X3)
                   => ( ( neq(X3,nil)
                        & ! [X4] :
                            ( ssItem(X4)
                           => ! [X5] :
                                ( ssList(X5)
                               => ( app(X5,cons(X4,nil)) != X3
                                  | app(cons(X4,nil),X5) != X2 ) ) ) )
                      | ( nil = X3
                        & nil != X2 )
                      | ? [X6] :
                          ( ? [X7] :
                              ( app(X7,X6) = X0
                              & app(X6,X7) = X1
                              & ssList(X7) )
                          & ssList(X6) )
                      | X0 != X2
                      | X1 != X3 ) ) ) ) ),
    inference(rectify,[],[f97]) ).

fof(f119,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( neq(X0,X1)
          <=> X0 != X1 )
          | ~ ssList(X1) )
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f15]) ).

fof(f120,plain,
    ! [X0] :
      ( ! [X1] :
          ( ssList(cons(X1,X0))
          | ~ ssItem(X1) )
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f16]) ).

fof(f202,plain,
    ! [X0] :
      ( app(X0,nil) = X0
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f84]) ).

fof(f222,plain,
    ? [X0] :
      ( ? [X1] :
          ( ? [X2] :
              ( ? [X3] :
                  ( ( ~ neq(X3,nil)
                    | ? [X4] :
                        ( ? [X5] :
                            ( app(X5,cons(X4,nil)) = X3
                            & app(cons(X4,nil),X5) = X2
                            & ssList(X5) )
                        & ssItem(X4) ) )
                  & ( nil != X3
                    | nil = X2 )
                  & ! [X6] :
                      ( ! [X7] :
                          ( app(X7,X6) != X0
                          | app(X6,X7) != X1
                          | ~ ssList(X7) )
                      | ~ ssList(X6) )
                  & X0 = X2
                  & X1 = X3
                  & ssList(X3) )
              & ssList(X2) )
          & ssList(X1) )
      & ssList(X0) ),
    inference(ennf_transformation,[],[f98]) ).

fof(f223,plain,
    ? [X0] :
      ( ? [X1] :
          ( ? [X2] :
              ( ? [X3] :
                  ( ( ~ neq(X3,nil)
                    | ? [X4] :
                        ( ? [X5] :
                            ( app(X5,cons(X4,nil)) = X3
                            & app(cons(X4,nil),X5) = X2
                            & ssList(X5) )
                        & ssItem(X4) ) )
                  & ( nil != X3
                    | nil = X2 )
                  & ! [X6] :
                      ( ! [X7] :
                          ( app(X7,X6) != X0
                          | app(X6,X7) != X1
                          | ~ ssList(X7) )
                      | ~ ssList(X6) )
                  & X0 = X2
                  & X1 = X3
                  & ssList(X3) )
              & ssList(X2) )
          & ssList(X1) )
      & ssList(X0) ),
    inference(flattening,[],[f222]) ).

fof(f317,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( ( neq(X0,X1)
              | X0 = X1 )
            & ( X0 != X1
              | ~ neq(X0,X1) ) )
          | ~ ssList(X1) )
      | ~ ssList(X0) ),
    inference(nnf_transformation,[],[f119]) ).

fof(f344,plain,
    ( ? [X0] :
        ( ? [X1] :
            ( ? [X2] :
                ( ? [X3] :
                    ( ( ~ neq(X3,nil)
                      | ? [X4] :
                          ( ? [X5] :
                              ( app(X5,cons(X4,nil)) = X3
                              & app(cons(X4,nil),X5) = X2
                              & ssList(X5) )
                          & ssItem(X4) ) )
                    & ( nil != X3
                      | nil = X2 )
                    & ! [X6] :
                        ( ! [X7] :
                            ( app(X7,X6) != X0
                            | app(X6,X7) != X1
                            | ~ ssList(X7) )
                        | ~ ssList(X6) )
                    & X0 = X2
                    & X1 = X3
                    & ssList(X3) )
                & ssList(X2) )
            & ssList(X1) )
        & ssList(X0) )
   => ( ? [X1] :
          ( ? [X2] :
              ( ? [X3] :
                  ( ( ~ neq(X3,nil)
                    | ? [X4] :
                        ( ? [X5] :
                            ( app(X5,cons(X4,nil)) = X3
                            & app(cons(X4,nil),X5) = X2
                            & ssList(X5) )
                        & ssItem(X4) ) )
                  & ( nil != X3
                    | nil = X2 )
                  & ! [X6] :
                      ( ! [X7] :
                          ( app(X7,X6) != sK53
                          | app(X6,X7) != X1
                          | ~ ssList(X7) )
                      | ~ ssList(X6) )
                  & sK53 = X2
                  & X1 = X3
                  & ssList(X3) )
              & ssList(X2) )
          & ssList(X1) )
      & ssList(sK53) ) ),
    introduced(choice_axiom,[]) ).

fof(f345,plain,
    ( ? [X1] :
        ( ? [X2] :
            ( ? [X3] :
                ( ( ~ neq(X3,nil)
                  | ? [X4] :
                      ( ? [X5] :
                          ( app(X5,cons(X4,nil)) = X3
                          & app(cons(X4,nil),X5) = X2
                          & ssList(X5) )
                      & ssItem(X4) ) )
                & ( nil != X3
                  | nil = X2 )
                & ! [X6] :
                    ( ! [X7] :
                        ( app(X7,X6) != sK53
                        | app(X6,X7) != X1
                        | ~ ssList(X7) )
                    | ~ ssList(X6) )
                & sK53 = X2
                & X1 = X3
                & ssList(X3) )
            & ssList(X2) )
        & ssList(X1) )
   => ( ? [X2] :
          ( ? [X3] :
              ( ( ~ neq(X3,nil)
                | ? [X4] :
                    ( ? [X5] :
                        ( app(X5,cons(X4,nil)) = X3
                        & app(cons(X4,nil),X5) = X2
                        & ssList(X5) )
                    & ssItem(X4) ) )
              & ( nil != X3
                | nil = X2 )
              & ! [X6] :
                  ( ! [X7] :
                      ( app(X7,X6) != sK53
                      | app(X6,X7) != sK54
                      | ~ ssList(X7) )
                  | ~ ssList(X6) )
              & sK53 = X2
              & sK54 = X3
              & ssList(X3) )
          & ssList(X2) )
      & ssList(sK54) ) ),
    introduced(choice_axiom,[]) ).

fof(f346,plain,
    ( ? [X2] :
        ( ? [X3] :
            ( ( ~ neq(X3,nil)
              | ? [X4] :
                  ( ? [X5] :
                      ( app(X5,cons(X4,nil)) = X3
                      & app(cons(X4,nil),X5) = X2
                      & ssList(X5) )
                  & ssItem(X4) ) )
            & ( nil != X3
              | nil = X2 )
            & ! [X6] :
                ( ! [X7] :
                    ( app(X7,X6) != sK53
                    | app(X6,X7) != sK54
                    | ~ ssList(X7) )
                | ~ ssList(X6) )
            & sK53 = X2
            & sK54 = X3
            & ssList(X3) )
        & ssList(X2) )
   => ( ? [X3] :
          ( ( ~ neq(X3,nil)
            | ? [X4] :
                ( ? [X5] :
                    ( app(X5,cons(X4,nil)) = X3
                    & app(cons(X4,nil),X5) = sK55
                    & ssList(X5) )
                & ssItem(X4) ) )
          & ( nil != X3
            | nil = sK55 )
          & ! [X6] :
              ( ! [X7] :
                  ( app(X7,X6) != sK53
                  | app(X6,X7) != sK54
                  | ~ ssList(X7) )
              | ~ ssList(X6) )
          & sK53 = sK55
          & sK54 = X3
          & ssList(X3) )
      & ssList(sK55) ) ),
    introduced(choice_axiom,[]) ).

fof(f347,plain,
    ( ? [X3] :
        ( ( ~ neq(X3,nil)
          | ? [X4] :
              ( ? [X5] :
                  ( app(X5,cons(X4,nil)) = X3
                  & app(cons(X4,nil),X5) = sK55
                  & ssList(X5) )
              & ssItem(X4) ) )
        & ( nil != X3
          | nil = sK55 )
        & ! [X6] :
            ( ! [X7] :
                ( app(X7,X6) != sK53
                | app(X6,X7) != sK54
                | ~ ssList(X7) )
            | ~ ssList(X6) )
        & sK53 = sK55
        & sK54 = X3
        & ssList(X3) )
   => ( ( ~ neq(sK56,nil)
        | ? [X4] :
            ( ? [X5] :
                ( app(X5,cons(X4,nil)) = sK56
                & app(cons(X4,nil),X5) = sK55
                & ssList(X5) )
            & ssItem(X4) ) )
      & ( nil != sK56
        | nil = sK55 )
      & ! [X6] :
          ( ! [X7] :
              ( app(X7,X6) != sK53
              | app(X6,X7) != sK54
              | ~ ssList(X7) )
          | ~ ssList(X6) )
      & sK53 = sK55
      & sK54 = sK56
      & ssList(sK56) ) ),
    introduced(choice_axiom,[]) ).

fof(f348,plain,
    ( ? [X4] :
        ( ? [X5] :
            ( app(X5,cons(X4,nil)) = sK56
            & app(cons(X4,nil),X5) = sK55
            & ssList(X5) )
        & ssItem(X4) )
   => ( ? [X5] :
          ( sK56 = app(X5,cons(sK57,nil))
          & sK55 = app(cons(sK57,nil),X5)
          & ssList(X5) )
      & ssItem(sK57) ) ),
    introduced(choice_axiom,[]) ).

fof(f349,plain,
    ( ? [X5] :
        ( sK56 = app(X5,cons(sK57,nil))
        & sK55 = app(cons(sK57,nil),X5)
        & ssList(X5) )
   => ( sK56 = app(sK58,cons(sK57,nil))
      & sK55 = app(cons(sK57,nil),sK58)
      & ssList(sK58) ) ),
    introduced(choice_axiom,[]) ).

fof(f350,plain,
    ( ( ~ neq(sK56,nil)
      | ( sK56 = app(sK58,cons(sK57,nil))
        & sK55 = app(cons(sK57,nil),sK58)
        & ssList(sK58)
        & ssItem(sK57) ) )
    & ( nil != sK56
      | nil = sK55 )
    & ! [X6] :
        ( ! [X7] :
            ( app(X7,X6) != sK53
            | app(X6,X7) != sK54
            | ~ ssList(X7) )
        | ~ ssList(X6) )
    & sK53 = sK55
    & sK54 = sK56
    & ssList(sK56)
    & ssList(sK55)
    & ssList(sK54)
    & ssList(sK53) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK53,sK54,sK55,sK56,sK57,sK58])],[f223,f349,f348,f347,f346,f345,f344]) ).

fof(f441,plain,
    ! [X0,X1] :
      ( neq(X0,X1)
      | X0 = X1
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f317]) ).

fof(f442,plain,
    ! [X0,X1] :
      ( ssList(cons(X1,X0))
      | ~ ssItem(X1)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f120]) ).

fof(f443,plain,
    ssList(nil),
    inference(cnf_transformation,[],[f17]) ).

fof(f536,plain,
    ! [X0] :
      ( app(X0,nil) = X0
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f202]) ).

fof(f551,plain,
    ssList(sK54),
    inference(cnf_transformation,[],[f350]) ).

fof(f554,plain,
    sK54 = sK56,
    inference(cnf_transformation,[],[f350]) ).

fof(f555,plain,
    sK53 = sK55,
    inference(cnf_transformation,[],[f350]) ).

fof(f556,plain,
    ! [X6,X7] :
      ( app(X7,X6) != sK53
      | app(X6,X7) != sK54
      | ~ ssList(X7)
      | ~ ssList(X6) ),
    inference(cnf_transformation,[],[f350]) ).

fof(f557,plain,
    ( nil != sK56
    | nil = sK55 ),
    inference(cnf_transformation,[],[f350]) ).

fof(f558,plain,
    ( ~ neq(sK56,nil)
    | ssItem(sK57) ),
    inference(cnf_transformation,[],[f350]) ).

fof(f559,plain,
    ( ~ neq(sK56,nil)
    | ssList(sK58) ),
    inference(cnf_transformation,[],[f350]) ).

fof(f560,plain,
    ( ~ neq(sK56,nil)
    | sK55 = app(cons(sK57,nil),sK58) ),
    inference(cnf_transformation,[],[f350]) ).

fof(f561,plain,
    ( ~ neq(sK56,nil)
    | sK56 = app(sK58,cons(sK57,nil)) ),
    inference(cnf_transformation,[],[f350]) ).

fof(f562,plain,
    ! [X6,X7] :
      ( app(X7,X6) != sK55
      | app(X6,X7) != sK56
      | ~ ssList(X7)
      | ~ ssList(X6) ),
    inference(definition_unfolding,[],[f556,f555,f554]) ).

fof(f563,plain,
    ssList(sK56),
    inference(definition_unfolding,[],[f551,f554]) ).

cnf(c_138,plain,
    ( ~ ssList(X0)
    | ~ ssList(X1)
    | X0 = X1
    | neq(X0,X1) ),
    inference(cnf_transformation,[],[f441]) ).

cnf(c_140,plain,
    ( ~ ssItem(X0)
    | ~ ssList(X1)
    | ssList(cons(X0,X1)) ),
    inference(cnf_transformation,[],[f442]) ).

cnf(c_141,plain,
    ssList(nil),
    inference(cnf_transformation,[],[f443]) ).

cnf(c_229,plain,
    ( ~ ssList(nil)
    | app(nil,nil) = nil ),
    inference(cnf_transformation,[],[f597]) ).

cnf(c_232,plain,
    ( ~ ssList(X0)
    | app(X0,nil) = X0 ),
    inference(cnf_transformation,[],[f536]) ).

cnf(c_246,negated_conjecture,
    ( ~ neq(sK56,nil)
    | app(sK58,cons(sK57,nil)) = sK56 ),
    inference(cnf_transformation,[],[f561]) ).

cnf(c_247,negated_conjecture,
    ( ~ neq(sK56,nil)
    | app(cons(sK57,nil),sK58) = sK55 ),
    inference(cnf_transformation,[],[f560]) ).

cnf(c_248,negated_conjecture,
    ( ~ neq(sK56,nil)
    | ssList(sK58) ),
    inference(cnf_transformation,[],[f559]) ).

cnf(c_249,negated_conjecture,
    ( ~ neq(sK56,nil)
    | ssItem(sK57) ),
    inference(cnf_transformation,[],[f558]) ).

cnf(c_250,negated_conjecture,
    ( nil != sK56
    | nil = sK55 ),
    inference(cnf_transformation,[],[f557]) ).

cnf(c_251,negated_conjecture,
    ( app(X0,X1) != sK55
    | app(X1,X0) != sK56
    | ~ ssList(X0)
    | ~ ssList(X1) ),
    inference(cnf_transformation,[],[f562]) ).

cnf(c_254,negated_conjecture,
    ssList(sK56),
    inference(cnf_transformation,[],[f563]) ).

cnf(c_296,plain,
    ( ~ ssList(nil)
    | app(nil,nil) = nil ),
    inference(instantiation,[status(thm)],[c_232]) ).

cnf(c_369,plain,
    app(nil,nil) = nil,
    inference(global_subsumption_just,[status(thm)],[c_229,c_141,c_296]) ).

cnf(c_3252,plain,
    ( X0 != sK56
    | X1 != nil
    | ~ ssList(X0)
    | ~ ssList(X1)
    | X0 = X1
    | ssItem(sK57) ),
    inference(resolution_lifted,[status(thm)],[c_138,c_249]) ).

cnf(c_3253,plain,
    ( ~ ssList(nil)
    | ~ ssList(sK56)
    | sK56 = nil
    | ssItem(sK57) ),
    inference(unflattening,[status(thm)],[c_3252]) ).

cnf(c_3254,plain,
    ( sK56 = nil
    | ssItem(sK57) ),
    inference(global_subsumption_just,[status(thm)],[c_3253,c_254,c_141,c_3253]) ).

cnf(c_3262,plain,
    ( X0 != sK56
    | X1 != nil
    | ~ ssList(X0)
    | ~ ssList(X1)
    | X0 = X1
    | ssList(sK58) ),
    inference(resolution_lifted,[status(thm)],[c_138,c_248]) ).

cnf(c_3263,plain,
    ( ~ ssList(nil)
    | ~ ssList(sK56)
    | sK56 = nil
    | ssList(sK58) ),
    inference(unflattening,[status(thm)],[c_3262]) ).

cnf(c_3264,plain,
    ( sK56 = nil
    | ssList(sK58) ),
    inference(global_subsumption_just,[status(thm)],[c_3263,c_254,c_141,c_3263]) ).

cnf(c_3272,plain,
    ( X0 != sK56
    | X1 != nil
    | ~ ssList(X0)
    | ~ ssList(X1)
    | app(cons(sK57,nil),sK58) = sK55
    | X0 = X1 ),
    inference(resolution_lifted,[status(thm)],[c_138,c_247]) ).

cnf(c_3273,plain,
    ( ~ ssList(nil)
    | ~ ssList(sK56)
    | app(cons(sK57,nil),sK58) = sK55
    | sK56 = nil ),
    inference(unflattening,[status(thm)],[c_3272]) ).

cnf(c_3274,plain,
    ( app(cons(sK57,nil),sK58) = sK55
    | sK56 = nil ),
    inference(global_subsumption_just,[status(thm)],[c_3273,c_254,c_141,c_3273]) ).

cnf(c_3282,plain,
    ( X0 != sK56
    | X1 != nil
    | ~ ssList(X0)
    | ~ ssList(X1)
    | app(sK58,cons(sK57,nil)) = sK56
    | X0 = X1 ),
    inference(resolution_lifted,[status(thm)],[c_138,c_246]) ).

cnf(c_3283,plain,
    ( ~ ssList(nil)
    | ~ ssList(sK56)
    | app(sK58,cons(sK57,nil)) = sK56
    | sK56 = nil ),
    inference(unflattening,[status(thm)],[c_3282]) ).

cnf(c_3284,plain,
    ( app(sK58,cons(sK57,nil)) = sK56
    | sK56 = nil ),
    inference(global_subsumption_just,[status(thm)],[c_3283,c_254,c_141,c_3283]) ).

cnf(c_11796,plain,
    ( app(sK58,cons(sK57,nil)) != sK56
    | ~ ssList(cons(sK57,nil))
    | ~ ssList(sK58)
    | nil = sK56 ),
    inference(superposition,[status(thm)],[c_3274,c_251]) ).

cnf(c_11805,plain,
    ( app(cons(sK57,nil),sK58) != sK56
    | sK56 != sK55
    | ~ ssList(cons(sK57,nil))
    | ~ ssList(sK58)
    | nil = sK56 ),
    inference(superposition,[status(thm)],[c_3284,c_251]) ).

cnf(c_11811,plain,
    ( app(nil,nil) != sK56
    | nil != sK55
    | ~ ssList(nil) ),
    inference(superposition,[status(thm)],[c_369,c_251]) ).

cnf(c_11812,plain,
    ( nil != sK56
    | nil != sK55
    | ~ ssList(nil) ),
    inference(light_normalisation,[status(thm)],[c_11811,c_369]) ).

cnf(c_11816,plain,
    ( ~ ssList(sK58)
    | ~ ssList(cons(sK57,nil))
    | app(sK58,cons(sK57,nil)) != sK56 ),
    inference(global_subsumption_just,[status(thm)],[c_11796,c_141,c_250,c_11796,c_11812]) ).

cnf(c_11817,plain,
    ( app(sK58,cons(sK57,nil)) != sK56
    | ~ ssList(cons(sK57,nil))
    | ~ ssList(sK58) ),
    inference(renaming,[status(thm)],[c_11816]) ).

cnf(c_11824,plain,
    ( ~ ssList(cons(sK57,nil))
    | ~ ssList(sK58)
    | nil = sK56 ),
    inference(superposition,[status(thm)],[c_3284,c_11817]) ).

cnf(c_11828,plain,
    ( ~ ssList(sK58)
    | ~ ssList(cons(sK57,nil)) ),
    inference(global_subsumption_just,[status(thm)],[c_11805,c_141,c_250,c_11812,c_11824]) ).

cnf(c_11829,plain,
    ( ~ ssList(cons(sK57,nil))
    | ~ ssList(sK58) ),
    inference(renaming,[status(thm)],[c_11828]) ).

cnf(c_11834,plain,
    nil != sK56,
    inference(global_subsumption_just,[status(thm)],[c_11812,c_141,c_250,c_11812]) ).

cnf(c_12536,plain,
    ( ~ ssItem(sK57)
    | ~ ssList(nil)
    | ~ ssList(sK58) ),
    inference(superposition,[status(thm)],[c_140,c_11829]) ).

cnf(c_12537,plain,
    ( ~ ssItem(sK57)
    | ~ ssList(sK58) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_12536,c_141]) ).

cnf(c_12582,plain,
    ( ~ ssList(sK58)
    | nil = sK56 ),
    inference(superposition,[status(thm)],[c_3254,c_12537]) ).

cnf(c_12583,plain,
    ~ ssList(sK58),
    inference(forward_subsumption_resolution,[status(thm)],[c_12582,c_11834]) ).

cnf(c_12584,plain,
    nil = sK56,
    inference(backward_subsumption_resolution,[status(thm)],[c_3264,c_12583]) ).

cnf(c_12585,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[c_12584,c_11834]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : SWC325+1 : TPTP v8.1.2. Released v2.4.0.
% 0.00/0.14  % Command  : run_iprover %s %d THM
% 0.15/0.35  % Computer : n027.cluster.edu
% 0.15/0.35  % Model    : x86_64 x86_64
% 0.15/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35  % Memory   : 8042.1875MB
% 0.15/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35  % CPULimit : 300
% 0.15/0.35  % WCLimit  : 300
% 0.15/0.35  % DateTime : Mon Aug 28 17:56:37 EDT 2023
% 0.15/0.36  % CPUTime  : 
% 0.21/0.49  Running first-order theorem proving
% 0.21/0.49  Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 4.03/1.18  % SZS status Started for theBenchmark.p
% 4.03/1.18  % SZS status Theorem for theBenchmark.p
% 4.03/1.18  
% 4.03/1.18  %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 4.03/1.18  
% 4.03/1.18  ------  iProver source info
% 4.03/1.18  
% 4.03/1.18  git: date: 2023-05-31 18:12:56 +0000
% 4.03/1.18  git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 4.03/1.18  git: non_committed_changes: false
% 4.03/1.18  git: last_make_outside_of_git: false
% 4.03/1.18  
% 4.03/1.18  ------ Parsing...
% 4.03/1.18  ------ Clausification by vclausify_rel  & Parsing by iProver...
% 4.03/1.18  
% 4.03/1.18  ------ 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 
% 4.03/1.18  
% 4.03/1.18  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 4.03/1.18  
% 4.03/1.18  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 4.03/1.18  ------ Proving...
% 4.03/1.18  ------ Problem Properties 
% 4.03/1.18  
% 4.03/1.18  
% 4.03/1.18  clauses                                 188
% 4.03/1.18  conjectures                             4
% 4.03/1.18  EPR                                     54
% 4.03/1.18  Horn                                    116
% 4.03/1.18  unary                                   18
% 4.03/1.18  binary                                  45
% 4.03/1.18  lits                                    634
% 4.03/1.18  lits eq                                 88
% 4.03/1.18  fd_pure                                 0
% 4.03/1.18  fd_pseudo                               0
% 4.03/1.18  fd_cond                                 21
% 4.03/1.18  fd_pseudo_cond                          14
% 4.03/1.18  AC symbols                              0
% 4.03/1.18  
% 4.03/1.18  ------ Schedule dynamic 5 is on 
% 4.03/1.18  
% 4.03/1.18  ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 4.03/1.18  
% 4.03/1.18  
% 4.03/1.18  ------ 
% 4.03/1.18  Current options:
% 4.03/1.18  ------ 
% 4.03/1.18  
% 4.03/1.18  
% 4.03/1.18  
% 4.03/1.18  
% 4.03/1.18  ------ Proving...
% 4.03/1.18  
% 4.03/1.18  
% 4.03/1.18  % SZS status Theorem for theBenchmark.p
% 4.03/1.18  
% 4.03/1.18  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 4.03/1.18  
% 4.03/1.18  
%------------------------------------------------------------------------------