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iProver---3.9.4.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : iProver---3.9.4
% Problem  : SWC308+1 : TPTP v9.3.1. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM

% Computer : n004.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Fri Sep 25 03:09:14 PM UTC 2026

% Result   : Theorem 6.83s 8.03s
% Output   : CNFRefutation 6.83s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named f210ERROR: Could not build tree for root c_16933ERROR: MakeTreeStats fails)

% Comments : 
%------------------------------------------------------------------------------
fof(f15,axiom,
    ! [X0] :
      ( ssList(X0)
     => ! [X1] :
          ( ssList(X1)
         => ( neq(X0,X1)
          <=> X0 != X1 ) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax15) ).

fof(f16,axiom,
    ! [X0] :
      ( ssList(X0)
     => ! [X1] :
          ( ssItem(X1)
         => ssList(cons(X1,X0)) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax16) ).

fof(f17,axiom,
    ssList(nil),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax17) ).

fof(f75,axiom,
    ! [X0] :
      ( ssList(X0)
     => ( nil != X0
       => ? [X1] :
            ( hd(X0) = X1
            & ssItem(X1) ) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax75) ).

fof(f76,axiom,
    ! [X0] :
      ( ssList(X0)
     => ( nil != X0
       => ? [X1] :
            ( tl(X0) = X1
            & ssList(X1) ) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax76) ).

fof(f78,axiom,
    ! [X0] :
      ( ssList(X0)
     => ( nil != X0
       => cons(hd(X0),tl(X0)) = X0 ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax78) ).

fof(f81,axiom,
    ! [X0] :
      ( ssList(X0)
     => ! [X1] :
          ( ssItem(X1)
         => cons(X1,X0) = app(cons(X1,nil),X0) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax81) ).

fof(f96,conjecture,
    ! [X0] :
      ( ssList(X0)
     => ! [X1] :
          ( ssList(X1)
         => ! [X2] :
              ( ssList(X2)
             => ! [X3] :
                  ( ssList(X3)
                 => ( ( nil = X3
                      & nil != X2 )
                    | ? [X8] :
                        ( ? [X9] :
                            ( app(cons(X8,nil),X9) = X3
                            & app(X9,cons(X8,nil)) != X2
                            & ssList(X9) )
                        & ssItem(X8) )
                    | ? [X4] :
                        ( ? [X5] :
                            ( ? [X6] :
                                ( neq(nil,X1)
                                & ? [X7] :
                                    ( neq(nil,X1)
                                    & hd(X1) = X7
                                    & cons(X7,nil) = X6
                                    & ssItem(X7) )
                                & app(X5,X6) = X4
                                & tl(X1) = X5
                                & ssList(X6) )
                            & ssList(X5) )
                        & X0 = X4
                        & ssList(X4) )
                    | ~ neq(X1,nil)
                    | 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)
                   => ( ( nil = X3
                        & nil != X2 )
                      | ? [X8] :
                          ( ? [X9] :
                              ( app(cons(X8,nil),X9) = X3
                              & app(X9,cons(X8,nil)) != X2
                              & ssList(X9) )
                          & ssItem(X8) )
                      | ? [X4] :
                          ( ? [X5] :
                              ( ? [X6] :
                                  ( neq(nil,X1)
                                  & ? [X7] :
                                      ( neq(nil,X1)
                                      & hd(X1) = X7
                                      & cons(X7,nil) = X6
                                      & ssItem(X7) )
                                  & app(X5,X6) = X4
                                  & tl(X1) = X5
                                  & ssList(X6) )
                              & ssList(X5) )
                          & X0 = X4
                          & ssList(X4) )
                      | ~ neq(X1,nil)
                      | X0 != X2
                      | X1 != X3 ) ) ) ) ),
    inference(negated_conjecture,[status(cth)],[f96]) ).

fof(f98,plain,
    ? [X0] :
      ( ssList(X0)
      & ? [X1] :
          ( ssList(X1)
          & ? [X2] :
              ( ssList(X2)
              & ? [X3] :
                  ( ssList(X3)
                  & ( nil != X3
                    | nil = X2 )
                  & ! [X8] :
                      ( ! [X9] :
                          ( app(cons(X8,nil),X9) != X3
                          | app(X9,cons(X8,nil)) = X2
                          | ~ ssList(X9) )
                      | ~ ssItem(X8) )
                  & ! [X4] :
                      ( ! [X5] :
                          ( ! [X6] :
                              ( ~ neq(nil,X1)
                              | ! [X7] :
                                  ( ~ neq(nil,X1)
                                  | hd(X1) != X7
                                  | cons(X7,nil) != X6
                                  | ~ ssItem(X7) )
                              | app(X5,X6) != X4
                              | tl(X1) != X5
                              | ~ ssList(X6) )
                          | ~ ssList(X5) )
                      | X0 != X4
                      | ~ ssList(X4) )
                  & neq(X1,nil)
                  & X0 = X2
                  & X1 = X3 ) ) ) ),
    inference(ennf_transformation,[],[f97]) ).

fof(f99,plain,
    ? [X0] :
      ( ssList(X0)
      & ? [X1] :
          ( ssList(X1)
          & ? [X2] :
              ( ssList(X2)
              & ? [X3] :
                  ( ssList(X3)
                  & ( nil != X3
                    | nil = X2 )
                  & ! [X8] :
                      ( ! [X9] :
                          ( app(cons(X8,nil),X9) != X3
                          | app(X9,cons(X8,nil)) = X2
                          | ~ ssList(X9) )
                      | ~ ssItem(X8) )
                  & ! [X4] :
                      ( ! [X5] :
                          ( ! [X6] :
                              ( ~ neq(nil,X1)
                              | ! [X7] :
                                  ( ~ neq(nil,X1)
                                  | hd(X1) != X7
                                  | cons(X7,nil) != X6
                                  | ~ ssItem(X7) )
                              | app(X5,X6) != X4
                              | tl(X1) != X5
                              | ~ ssList(X6) )
                          | ~ ssList(X5) )
                      | X0 != X4
                      | ~ ssList(X4) )
                  & neq(X1,nil)
                  & X0 = X2
                  & X1 = X3 ) ) ) ),
    inference(flattening,[],[f98]) ).

fof(f100,plain,
    ! [X0] :
      ( ~ ssList(X0)
      | ! [X1] :
          ( ~ ssItem(X1)
          | cons(X1,X0) = app(cons(X1,nil),X0) ) ),
    inference(ennf_transformation,[],[f81]) ).

fof(f108,plain,
    ! [X0] :
      ( ~ ssList(X0)
      | ! [X1] :
          ( ~ ssItem(X1)
          | ssList(cons(X1,X0)) ) ),
    inference(ennf_transformation,[],[f16]) ).

fof(f118,plain,
    ! [X0] :
      ( ~ ssList(X0)
      | ! [X1] :
          ( ~ ssList(X1)
          | ( neq(X0,X1)
          <=> X0 != X1 ) ) ),
    inference(ennf_transformation,[],[f15]) ).

fof(f122,plain,
    ! [X0] :
      ( ~ ssList(X0)
      | nil = X0
      | cons(hd(X0),tl(X0)) = X0 ),
    inference(ennf_transformation,[],[f78]) ).

fof(f123,plain,
    ! [X0] :
      ( ~ ssList(X0)
      | nil = X0
      | cons(hd(X0),tl(X0)) = X0 ),
    inference(flattening,[],[f122]) ).

fof(f126,plain,
    ! [X0] :
      ( ~ ssList(X0)
      | nil = X0
      | ? [X1] :
          ( hd(X0) = X1
          & ssItem(X1) ) ),
    inference(ennf_transformation,[],[f75]) ).

fof(f127,plain,
    ! [X0] :
      ( ~ ssList(X0)
      | nil = X0
      | ? [X1] :
          ( hd(X0) = X1
          & ssItem(X1) ) ),
    inference(flattening,[],[f126]) ).

fof(f133,plain,
    ! [X0] :
      ( ~ ssList(X0)
      | nil = X0
      | ? [X1] :
          ( tl(X0) = X1
          & ssList(X1) ) ),
    inference(ennf_transformation,[],[f76]) ).

fof(f134,plain,
    ! [X0] :
      ( ~ ssList(X0)
      | nil = X0
      | ? [X1] :
          ( tl(X0) = X1
          & ssList(X1) ) ),
    inference(flattening,[],[f133]) ).

fof(f138,plain,
    ( ssList(sK0)
    & ssList(sK1)
    & ssList(sK2)
    & ssList(sK3)
    & ( nil != sK3
      | nil = sK2 )
    & ! [X8] :
        ( ! [X9] :
            ( app(cons(X8,nil),X9) != sK3
            | app(X9,cons(X8,nil)) = sK2
            | ~ ssList(X9) )
        | ~ ssItem(X8) )
    & ! [X4] :
        ( ! [X5] :
            ( ! [X6] :
                ( ~ neq(nil,sK1)
                | ! [X7] :
                    ( ~ neq(nil,sK1)
                    | hd(sK1) != X7
                    | cons(X7,nil) != X6
                    | ~ ssItem(X7) )
                | app(X5,X6) != X4
                | tl(sK1) != X5
                | ~ ssList(X6) )
            | ~ ssList(X5) )
        | sK0 != X4
        | ~ ssList(X4) )
    & neq(sK1,nil)
    & sK0 = sK2
    & sK1 = sK3 ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2),skolemize(X3,sK3)],[f99]) ).

fof(f143,plain,
    ! [X0] :
      ( ~ ssList(X0)
      | ! [X1] :
          ( ~ ssList(X1)
          | ( ( ~ neq(X0,X1)
              | X0 != X1 )
            & ( X0 = X1
              | neq(X0,X1) ) ) ) ),
    inference(nnf_transformation,[],[f118]) ).

fof(f145,plain,
    ! [X0] :
      ( ~ ssList(X0)
      | nil = X0
      | ( hd(X0) = sK8(X0)
        & ssItem(sK8(X0)) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK8]),skolemize(X1,sK8(X0))],[f127]) ).

fof(f146,plain,
    ! [X0] :
      ( ~ ssList(X0)
      | nil = X0
      | ( tl(X0) = sK9(X0)
        & ssList(sK9(X0)) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK9]),skolemize(X1,sK9(X0))],[f134]) ).

fof(f147,plain,
    ssList(sK0),
    inference(cnf_transformation,[],[f138]) ).

fof(f148,plain,
    ssList(sK1),
    inference(cnf_transformation,[],[f138]) ).

fof(f152,plain,
    ! [X8,X9] :
      ( app(cons(X8,nil),X9) != sK3
      | app(X9,cons(X8,nil)) = sK2
      | ~ ssList(X9)
      | ~ ssItem(X8) ),
    inference(cnf_transformation,[],[f138]) ).

fof(f154,plain,
    neq(sK1,nil),
    inference(cnf_transformation,[],[f138]) ).

fof(f155,plain,
    sK0 = sK2,
    inference(cnf_transformation,[],[f138]) ).

fof(f156,plain,
    sK1 = sK3,
    inference(cnf_transformation,[],[f138]) ).

fof(f160,plain,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | ~ ssItem(X1)
      | cons(X1,X0) = app(cons(X1,nil),X0) ),
    inference(cnf_transformation,[],[f100]) ).

fof(f169,plain,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | ~ ssItem(X1)
      | ssList(cons(X1,X0)) ),
    inference(cnf_transformation,[],[f108]) ).

fof(f180,plain,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | X0 = X1
      | neq(X0,X1) ),
    inference(cnf_transformation,[],[f143]) ).

fof(f183,plain,
    ssList(nil),
    inference(cnf_transformation,[],[f17]) ).

fof(f185,plain,
    ! [X0] :
      ( ~ ssList(X0)
      | nil = X0
      | cons(hd(X0),tl(X0)) = X0 ),
    inference(cnf_transformation,[],[f123]) ).

fof(f187,plain,
    ! [X0] :
      ( ~ ssList(X0)
      | nil = X0
      | hd(X0) = sK8(X0) ),
    inference(cnf_transformation,[],[f145]) ).

fof(f188,plain,
    ! [X0] :
      ( ~ ssList(X0)
      | nil = X0
      | ssItem(sK8(X0)) ),
    inference(cnf_transformation,[],[f145]) ).

fof(f192,plain,
    ! [X0] :
      ( ~ ssList(X0)
      | nil = X0
      | tl(X0) = sK9(X0) ),
    inference(cnf_transformation,[],[f146]) ).

fof(f193,plain,
    ! [X0] :
      ( ~ ssList(X0)
      | nil = X0
      | ssList(sK9(X0)) ),
    inference(cnf_transformation,[],[f146]) ).

fof(f196,plain,
    neq(sK3,nil),
    inference(definition_unfolding,[],[f154,f156]) ).

fof(f198,plain,
    ssList(sK3),
    inference(definition_unfolding,[],[f148,f156]) ).

fof(f199,plain,
    ssList(sK2),
    inference(definition_unfolding,[],[f147,f155]) ).

tcf(c_49,negated_conjecture,
    neq(sK3,nil),
    inference(cnf_transformation,[],[f196]) ).

tcf(c_50,negated_conjecture,
    ( ~ ssList(sK2)
    | ~ ssItem(hd(sK3))
    | ~ ssList(tl(sK3))
    | ~ neq(nil,sK3)
    | ~ ssList(cons(hd(sK3),nil))
    | ( app(tl(sK3),cons(hd(sK3),nil)) != sK2 ) ),
    inference(cnf_transformation,[],[f208]) ).

tcf(c_51,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( ( app(X1,cons(X0,nil)) = sK2 )
      | ~ ssItem(X0)
      | ~ ssList(X1)
      | ( app(cons(X0,nil),X1) != sK3 ) ),
    inference(cnf_transformation,[],[f152]) ).

tcf(c_55,negated_conjecture,
    ssList(sK3),
    inference(cnf_transformation,[],[f198]) ).

tcf(c_56,negated_conjecture,
    ssList(sK2),
    inference(cnf_transformation,[],[f199]) ).

tcf(c_60,plain,
    ! [X0: $i,X1: $i] :
      ( ( app(cons(X1,nil),X0) = cons(X1,X0) )
      | ~ ssItem(X1)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f160]) ).

tcf(c_69,plain,
    ! [X0: $i,X1: $i] :
      ( ssList(cons(X1,X0))
      | ~ ssItem(X1)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f169]) ).

tcf(c_79,plain,
    ! [X0: $i,X1: $i] :
      ( neq(X1,X0)
      | ( X0 = X1 )
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f180]) ).

tcf(c_80,plain,
    ! [X0: $i] :
      ( ~ ssList(X0)
      | ~ neq(X0,X0) ),
    inference(cnf_transformation,[],[f210]) ).

tcf(c_83,plain,
    ssList(nil),
    inference(cnf_transformation,[],[f183]) ).

tcf(c_85,plain,
    ! [X0: $i] :
      ( ( X0 = nil )
      | ( cons(hd(X0),tl(X0)) = X0 )
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f185]) ).

tcf(c_87,plain,
    ! [X0: $i] :
      ( ssItem(sK8(X0))
      | ( X0 = nil )
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f188]) ).

tcf(c_88,plain,
    ! [X0: $i] :
      ( ( X0 = nil )
      | ( hd(X0) = sK8(X0) )
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f187]) ).

tcf(c_92,plain,
    ! [X0: $i] :
      ( ssList(sK9(X0))
      | ( X0 = nil )
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f193]) ).

tcf(c_93,plain,
    ! [X0: $i] :
      ( ( X0 = nil )
      | ( tl(X0) = sK9(X0) )
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f192]) ).

tcf(c_128,plain,
    ( ( app(tl(sK3),cons(hd(sK3),nil)) != sK2 )
    | ~ ssList(cons(hd(sK3),nil))
    | ~ neq(nil,sK3)
    | ~ ssList(tl(sK3))
    | ~ ssItem(hd(sK3)) ),
    inference(global_subsumption_just,[status(thm)],[c_50,c_56,c_50]) ).

tcf(c_129,negated_conjecture,
    ( ~ ssItem(hd(sK3))
    | ~ ssList(tl(sK3))
    | ~ neq(nil,sK3)
    | ~ ssList(cons(hd(sK3),nil))
    | ( app(tl(sK3),cons(hd(sK3),nil)) != sK2 ) ),
    inference(renaming,[status(thm)],[c_128]) ).

tcf(c_702,plain,
    ! [X0: $i] :
      ( ~ ssList(X0)
      | ( X0 != nil )
      | ( X0 != sK3 ) ),
    inference(resolution_lifted,[status(thm)],[c_49,c_80]) ).

tcf(c_703,plain,
    ( ~ ssList(sK3)
    | ( sK3 != nil ) ),
    inference(unflattening,[status(thm)],[c_702]) ).

tcf(c_704,plain,
    sK3 != nil,
    inference(global_subsumption_just,[status(thm)],[c_703,c_55,c_703]) ).

tcf(c_731,plain,
    ! [X0: $i,X1: $i] :
      ( ( X0 = X1 )
      | ~ ssList(X1)
      | ~ ssList(X0)
      | ~ ssItem(hd(sK3))
      | ~ ssList(tl(sK3))
      | ~ ssList(cons(hd(sK3),nil))
      | ( X1 != nil )
      | ( X0 != sK3 )
      | ( app(tl(sK3),cons(hd(sK3),nil)) != sK2 ) ),
    inference(resolution_lifted,[status(thm)],[c_129,c_79]) ).

tcf(c_732,plain,
    ( ( sK3 = nil )
    | ~ ssList(nil)
    | ~ ssList(sK3)
    | ~ ssItem(hd(sK3))
    | ~ ssList(tl(sK3))
    | ~ ssList(cons(hd(sK3),nil))
    | ( app(tl(sK3),cons(hd(sK3),nil)) != sK2 ) ),
    inference(unflattening,[status(thm)],[c_731]) ).

tcf(c_733,plain,
    ( ( app(tl(sK3),cons(hd(sK3),nil)) != sK2 )
    | ~ ssList(cons(hd(sK3),nil))
    | ~ ssList(tl(sK3))
    | ~ ssItem(hd(sK3)) ),
    inference(global_subsumption_just,[status(thm)],[c_732,c_55,c_83,c_703,c_732]) ).

tcf(c_734,plain,
    ( ~ ssItem(hd(sK3))
    | ~ ssList(tl(sK3))
    | ~ ssList(cons(hd(sK3),nil))
    | ( app(tl(sK3),cons(hd(sK3),nil)) != sK2 ) ),
    inference(renaming,[status(thm)],[c_733]) ).

tcf(c_2019,plain,
    ( ( sK3 = nil )
    | ( hd(sK3) = sK8(sK3) ) ),
    inference(superposition,[status(thm)],[c_55,c_88]) ).

tcf(c_2026,plain,
    hd(sK3) = sK8(sK3),
    inference(forward_subsumption_resolution,[status(thm)],[c_2019,c_704]) ).

tcf(c_2102,plain,
    ( ( sK3 = nil )
    | ( tl(sK3) = sK9(sK3) ) ),
    inference(superposition,[status(thm)],[c_55,c_93]) ).

tcf(c_2109,plain,
    tl(sK3) = sK9(sK3),
    inference(forward_subsumption_resolution,[status(thm)],[c_2102,c_704]) ).

tcf(c_2135,plain,
    ( ssItem(hd(sK3))
    | ( sK3 = nil )
    | ~ ssList(sK3) ),
    inference(superposition,[status(thm)],[c_2026,c_87]) ).

tcf(c_2136,plain,
    ssItem(hd(sK3)),
    inference(forward_subsumption_resolution,[status(thm)],[c_2135,c_704,c_55]) ).

tcf(c_2143,plain,
    ( ssList(tl(sK3))
    | ( sK3 = nil )
    | ~ ssList(sK3) ),
    inference(superposition,[status(thm)],[c_2109,c_92]) ).

tcf(c_2144,plain,
    ssList(tl(sK3)),
    inference(forward_subsumption_resolution,[status(thm)],[c_2143,c_704,c_55]) ).

tcf(c_2417,plain,
    ( ( sK3 = nil )
    | ( cons(hd(sK3),tl(sK3)) = sK3 ) ),
    inference(superposition,[status(thm)],[c_55,c_85]) ).

tcf(c_2425,plain,
    cons(hd(sK3),tl(sK3)) = sK3,
    inference(forward_subsumption_resolution,[status(thm)],[c_2417,c_704]) ).

tcf(c_2473,plain,
    ! [X0: $i] :
      ( ( app(cons(X0,nil),tl(sK3)) = cons(X0,tl(sK3)) )
      | ~ ssItem(X0) ),
    inference(superposition,[status(thm)],[c_2144,c_60]) ).

tcf(c_2708,plain,
    ! [X0: $i] :
      ( ssList(cons(hd(sK3),X0))
      | ~ ssList(X0)
      | ~ ssItem(hd(sK3)) ),
    inference(instantiation,[status(thm)],[c_69]) ).

tcf(c_2709,plain,
    ( ssList(cons(hd(sK3),nil))
    | ~ ssList(nil)
    | ~ ssItem(hd(sK3)) ),
    inference(instantiation,[status(thm)],[c_2708]) ).

tcf(c_16541,plain,
    app(cons(hd(sK3),nil),tl(sK3)) = cons(hd(sK3),tl(sK3)),
    inference(superposition,[status(thm)],[c_2136,c_2473]) ).

tcf(c_16549,plain,
    app(cons(hd(sK3),nil),tl(sK3)) = sK3,
    inference(light_normalisation,[status(thm)],[c_16541,c_2425]) ).

tcf(c_16909,plain,
    ( ( app(tl(sK3),cons(hd(sK3),nil)) = sK2 )
    | ~ ssItem(hd(sK3))
    | ~ ssList(tl(sK3)) ),
    inference(superposition,[status(thm)],[c_16549,c_51]) ).

tcf(c_16922,plain,
    app(tl(sK3),cons(hd(sK3),nil)) = sK2,
    inference(forward_subsumption_resolution,[status(thm)],[c_16909,c_2136,c_2144]) ).

tcf(c_16933,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_16922,c_2709,c_2144,c_2136,c_734,c_83]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05  % Problem  : SWC308+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.07  % Command  : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.18/5.46  % Computer : n004.cluster.edu
% 0.18/5.46  % Model    : x86_64 x86_64
% 0.18/5.46  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/5.46  % Memory   : 8046.5625MB
% 0.18/5.46  % OS       : Linux 6.8.0-71-generic
% 0.18/5.46  % CPULimit : 300
% 0.18/5.46  % WCLimit  : 300
% 0.18/5.46  % DateTime : Thu Sep 24 17:32:12 UTC 2026
% 0.18/5.46  % CPUTime  : 
% 0.18/5.46  Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.24/5.52  Running first-order theorem proving
% 0.24/5.52  Running: /export/starexec/sandbox/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.24/5.54  
% 0.24/5.54  % ======== iProver multi-core TPTP/SMT =========
% 0.24/5.54  
% 0.24/5.54  % Detected problem language: tptp
% 0.24/5.56  % Proving...
% 6.83/8.03  % SZS status Started for theBenchmark.p
% 6.83/8.03  % SZS status Theorem for theBenchmark.p
% 6.83/8.03  
% 6.83/8.03  %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 6.83/8.03  
% 6.83/8.03  % ------  iProver source info
% 6.83/8.03  
% 6.83/8.03  % git: date: 2026-07-19 20:42:38 +0200
% 6.83/8.03  % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 6.83/8.03  % git: non_committed_changes: false
% 6.83/8.03  
% 6.83/8.03  % ------ Parsing...
% 6.83/8.03  % ------ Clausification by vclausify_rel  & Parsing by iProver...% 
% 6.83/8.03  
% 6.83/8.03  % ------ Preprocessing... sup_sim: 0  sf_s  rm: 1 0s  sf_e  pe_s  pe:1:0s pe_e  sup_sim: 0  sf_s  rm: 2 0s  sf_e  pe_s  pe_e % 
% 6.83/8.03  
% 6.83/8.03  % ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e % 
% 6.83/8.03  
% 6.83/8.03  % ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 6.83/8.03  % ------ Proving...
% 6.83/8.03  % ------ Problem Properties 
% 6.83/8.03  
% 6.83/8.03  % 
% 6.83/8.03  % clauses                               40
% 6.83/8.03  % conjectures                           3
% 6.83/8.03  % EPR                                   7
% 6.83/8.03  % Horn                                  27
% 6.83/8.03  % unary                                 8
% 6.83/8.03  % binary                                2
% 6.83/8.03  % lits                                  124
% 6.83/8.03  % lits eq                               50
% 6.83/8.03  % fd_pure                               0
% 6.83/8.03  % fd_pseudo                             0
% 6.83/8.03  % fd_cond                               12
% 6.83/8.03  % fd_pseudo_cond                        5
% 6.83/8.03  % AC symbols                            0
% 6.83/8.03  
% 6.83/8.03  % ------ Schedule dynamic 5 is on 
% 6.83/8.03  
% 6.83/8.03  % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 6.83/8.03  
% 6.83/8.03  
% 6.83/8.03  % ------ 
% 6.83/8.03  % Current options:
% 6.83/8.03  % ------ 
% 6.83/8.03  
% 6.83/8.03  
% 6.83/8.03  % 
% 6.83/8.03  
% 6.83/8.03  % ------ Proving...
% 6.83/8.03  % 
% 6.83/8.03  
% 6.83/8.03  % SZS status Theorem for theBenchmark.p
% 6.83/8.03  
% 6.83/8.03  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 6.83/8.03  
% 6.83/8.03  
%------------------------------------------------------------------------------