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iProver---3.9.4.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : iProver---3.9.4
% Problem  : SWC313+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 : n001.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 03:09:16 PM UTC 2026

% Result   : Theorem 22.75s 4.27s
% Output   : CNFRefutation 22.75s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named f177ERROR: Could not build tree for root c_48938ERROR: 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(f17,axiom,
    ssList(nil),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax17) ).

fof(f20,axiom,
    ! [X0] :
      ( ssList(X0)
     => ( ? [X1] :
            ( ? [X2] :
                ( cons(X2,X1) = X0
                & ssItem(X2) )
            & ssList(X1) )
        | nil = X0 ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax20) ).

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

fof(f99,plain,
    ? [X0] :
      ( ssList(X0)
      & ? [X1] :
          ( ssList(X1)
          & ? [X2] :
              ( ssList(X2)
              & ? [X3] :
                  ( ssList(X3)
                  & ( ( ! [X6] :
                          ( ! [X7] :
                              ( app(X7,cons(X6,nil)) != X0
                              | app(cons(X6,nil),X7) != X1
                              | ~ ssList(X7) )
                          | ~ ssItem(X6) )
                      & neq(X1,nil) )
                    | ( nil != X0
                      & nil = X1 ) )
                  & ( nil != X3
                    | nil = X2 )
                  & ! [X4] :
                      ( ! [X5] :
                          ( app(cons(X4,nil),X5) != X3
                          | app(X5,cons(X4,nil)) = X2
                          | ~ ssList(X5) )
                      | ~ ssItem(X4) )
                  & 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(f103,plain,
    ! [X0] :
      ( ~ ssList(X0)
      | ? [X1] :
          ( ? [X2] :
              ( cons(X2,X1) = X0
              & ssItem(X2) )
          & ssList(X1) )
      | nil = X0 ),
    inference(ennf_transformation,[],[f20]) ).

fof(f104,plain,
    ! [X0] :
      ( ~ ssList(X0)
      | ? [X1] :
          ( ? [X2] :
              ( cons(X2,X1) = X0
              & ssItem(X2) )
          & ssList(X1) )
      | nil = X0 ),
    inference(flattening,[],[f103]) ).

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

fof(f120,plain,
    ( ssList(sK0)
    & ssList(sK1)
    & ssList(sK2)
    & ssList(sK3)
    & ( ( ! [X6] :
            ( ! [X7] :
                ( app(X7,cons(X6,nil)) != sK0
                | app(cons(X6,nil),X7) != sK1
                | ~ ssList(X7) )
            | ~ ssItem(X6) )
        & neq(sK1,nil) )
      | ( nil != sK0
        & nil = sK1 ) )
    & ( nil != sK3
      | nil = sK2 )
    & ! [X4] :
        ( ! [X5] :
            ( app(cons(X4,nil),X5) != sK3
            | app(X5,cons(X4,nil)) = sK2
            | ~ ssList(X5) )
        | ~ ssItem(X4) )
    & 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(f122,plain,
    ! [X0] :
      ( ~ ssList(X0)
      | ( cons(sK7(X0),sK6(X0)) = X0
        & ssItem(sK7(X0))
        & ssList(sK6(X0)) )
      | nil = X0 ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK6,sK7]),skolemize(X1,sK6(X0)),skolemize(X2,sK7(X0))],[f104]) ).

fof(f125,plain,
    ! [X0] :
      ( ~ ssList(X0)
      | ! [X1] :
          ( ~ ssList(X1)
          | ( ( ~ neq(X0,X1)
              | X0 != X1 )
            & ( X0 = X1
              | neq(X0,X1) ) ) ) ),
    inference(nnf_transformation,[],[f118]) ).

fof(f128,plain,
    ssList(sK1),
    inference(cnf_transformation,[],[f120]) ).

fof(f131,plain,
    ! [X6,X7] :
      ( app(X7,cons(X6,nil)) != sK0
      | app(cons(X6,nil),X7) != sK1
      | ~ ssList(X7)
      | ~ ssItem(X6)
      | nil != sK0 ),
    inference(cnf_transformation,[],[f120]) ).

fof(f132,plain,
    ( neq(sK1,nil)
    | nil != sK0 ),
    inference(cnf_transformation,[],[f120]) ).

fof(f133,plain,
    ! [X6,X7] :
      ( app(X7,cons(X6,nil)) != sK0
      | app(cons(X6,nil),X7) != sK1
      | ~ ssList(X7)
      | ~ ssItem(X6)
      | nil = sK1 ),
    inference(cnf_transformation,[],[f120]) ).

fof(f134,plain,
    ( neq(sK1,nil)
    | nil = sK1 ),
    inference(cnf_transformation,[],[f120]) ).

fof(f135,plain,
    ( nil != sK3
    | nil = sK2 ),
    inference(cnf_transformation,[],[f120]) ).

fof(f136,plain,
    ! [X4,X5] :
      ( app(cons(X4,nil),X5) != sK3
      | app(X5,cons(X4,nil)) = sK2
      | ~ ssList(X5)
      | ~ ssItem(X4) ),
    inference(cnf_transformation,[],[f120]) ).

fof(f137,plain,
    sK0 = sK2,
    inference(cnf_transformation,[],[f120]) ).

fof(f138,plain,
    sK1 = sK3,
    inference(cnf_transformation,[],[f120]) ).

fof(f142,plain,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | ~ ssItem(X1)
      | cons(X1,X0) = app(cons(X1,nil),X0) ),
    inference(cnf_transformation,[],[f100]) ).

fof(f145,plain,
    ! [X0] :
      ( ~ ssList(X0)
      | cons(sK7(X0),sK6(X0)) = X0
      | nil = X0 ),
    inference(cnf_transformation,[],[f122]) ).

fof(f146,plain,
    ! [X0] :
      ( ~ ssList(X0)
      | ssItem(sK7(X0))
      | nil = X0 ),
    inference(cnf_transformation,[],[f122]) ).

fof(f147,plain,
    ! [X0] :
      ( ~ ssList(X0)
      | ssList(sK6(X0))
      | nil = X0 ),
    inference(cnf_transformation,[],[f122]) ).

fof(f162,plain,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | X0 = X1
      | neq(X0,X1) ),
    inference(cnf_transformation,[],[f125]) ).

fof(f165,plain,
    ssList(nil),
    inference(cnf_transformation,[],[f17]) ).

fof(f166,plain,
    ( neq(sK3,nil)
    | nil = sK3 ),
    inference(definition_unfolding,[],[f134,f138,f138]) ).

fof(f167,plain,
    ! [X6,X7] :
      ( app(X7,cons(X6,nil)) != sK2
      | app(cons(X6,nil),X7) != sK3
      | ~ ssList(X7)
      | ~ ssItem(X6)
      | nil = sK3 ),
    inference(definition_unfolding,[],[f133,f138,f138,f137]) ).

fof(f168,plain,
    ( neq(sK3,nil)
    | nil != sK2 ),
    inference(definition_unfolding,[],[f132,f137,f138]) ).

fof(f169,plain,
    ! [X6,X7] :
      ( app(X7,cons(X6,nil)) != sK2
      | app(cons(X6,nil),X7) != sK3
      | ~ ssList(X7)
      | ~ ssItem(X6)
      | nil != sK2 ),
    inference(definition_unfolding,[],[f131,f137,f138,f137]) ).

fof(f170,plain,
    ssList(sK3),
    inference(definition_unfolding,[],[f128,f138]) ).

tcf(c_49,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( ( app(X1,cons(X0,nil)) = sK2 )
      | ~ ssList(X1)
      | ~ ssItem(X0)
      | ( app(cons(X0,nil),X1) != sK3 ) ),
    inference(cnf_transformation,[],[f136]) ).

tcf(c_50,negated_conjecture,
    ( ( nil = sK2 )
    | ( nil != sK3 ) ),
    inference(cnf_transformation,[],[f135]) ).

tcf(c_51,negated_conjecture,
    ( neq(sK3,nil)
    | ( nil = sK3 ) ),
    inference(cnf_transformation,[],[f166]) ).

tcf(c_52,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( ( nil = sK3 )
      | ~ ssList(X1)
      | ~ ssItem(X0)
      | ( app(X1,cons(X0,nil)) != sK2 )
      | ( app(cons(X0,nil),X1) != sK3 ) ),
    inference(cnf_transformation,[],[f167]) ).

tcf(c_53,negated_conjecture,
    ( neq(sK3,nil)
    | ( nil != sK2 ) ),
    inference(cnf_transformation,[],[f168]) ).

tcf(c_54,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( ~ ssList(X1)
      | ~ ssItem(X0)
      | ( nil != sK2 )
      | ( app(X1,cons(X0,nil)) != sK2 )
      | ( app(cons(X0,nil),X1) != sK3 ) ),
    inference(cnf_transformation,[],[f169]) ).

tcf(c_57,negated_conjecture,
    ssList(sK3),
    inference(cnf_transformation,[],[f170]) ).

tcf(c_62,plain,
    ! [X0: $i,X1: $i] :
      ( ( app(cons(X0,nil),X1) = cons(X0,X1) )
      | ~ ssList(X1)
      | ~ ssItem(X0) ),
    inference(cnf_transformation,[],[f142]) ).

tcf(c_65,plain,
    ! [X0: $i] :
      ( ssList(sK6(X0))
      | ( X0 = nil )
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f147]) ).

tcf(c_66,plain,
    ! [X0: $i] :
      ( ssItem(sK7(X0))
      | ( X0 = nil )
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f146]) ).

tcf(c_67,plain,
    ! [X0: $i] :
      ( ( X0 = nil )
      | ( cons(sK7(X0),sK6(X0)) = X0 )
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f145]) ).

tcf(c_81,plain,
    ! [X0: $i,X1: $i] :
      ( neq(X1,X0)
      | ( X0 = X1 )
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f162]) ).

tcf(c_82,plain,
    ! [X0: $i] :
      ( ~ ssList(X0)
      | ~ neq(X0,X0) ),
    inference(cnf_transformation,[],[f177]) ).

tcf(c_85,plain,
    ssList(nil),
    inference(cnf_transformation,[],[f165]) ).

tcf(c_87,plain,
    ( ~ ssList(nil)
    | ~ neq(nil,nil) ),
    inference(instantiation,[status(thm)],[c_82]) ).

tcf(c_94,plain,
    ( neq(nil,nil)
    | ( nil = nil )
    | ~ ssList(nil) ),
    inference(instantiation,[status(thm)],[c_81]) ).

tcf(c_106,negated_conjecture,
    neq(sK3,nil),
    inference(global_subsumption_just,[status(thm)],[c_51,c_51,c_53,c_50]) ).

tcf(c_108,negated_conjecture,
    neq(sK3,nil),
    inference(global_subsumption_just,[status(thm)],[c_53,c_106]) ).

tcf(c_112,plain,
    ! [X0: $i,X1: $i] :
      ( ( app(cons(X0,nil),X1) != sK3 )
      | ~ ssItem(X0)
      | ~ ssList(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_49,c_50,c_49,c_52,c_54]) ).

tcf(c_113,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( ~ ssList(X1)
      | ~ ssItem(X0)
      | ( app(cons(X0,nil),X1) != sK3 ) ),
    inference(renaming,[status(thm)],[c_112]) ).

tcf(c_117,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( ~ ssList(X1)
      | ~ ssItem(X0)
      | ( app(cons(X0,nil),X1) != sK3 ) ),
    inference(global_subsumption_just,[status(thm)],[c_54,c_113]) ).

tcf(c_481,plain,
    ! [X0: $i] :
      ( ~ ssList(X0)
      | ( X0 != sK3 )
      | ( X0 != nil ) ),
    inference(resolution_lifted,[status(thm)],[c_108,c_82]) ).

tcf(c_482,plain,
    ( ~ ssList(nil)
    | ( nil != sK3 ) ),
    inference(unflattening,[status(thm)],[c_481]) ).

tcf(c_483,plain,
    nil != sK3,
    inference(global_subsumption_just,[status(thm)],[c_482,c_85,c_482]) ).

tcf(c_794,plain,
    ! [X0: $i] : X0 = X0,
    theory(equality) ).

tcf(c_796,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( X2 = X0 )
      | ( X2 != X1 )
      | ( X0 != X1 ) ),
    theory(equality) ).

tcf(c_1270,plain,
    ( ( nil = sK3 )
    | ( cons(sK7(sK3),sK6(sK3)) = sK3 ) ),
    inference(superposition,[status(thm)],[c_57,c_67]) ).

tcf(c_1278,plain,
    cons(sK7(sK3),sK6(sK3)) = sK3,
    inference(forward_subsumption_resolution,[status(thm)],[c_1270,c_483]) ).

tcf(c_1503,plain,
    ! [X0: $i] :
      ( ( nil = sK3 )
      | ( sK3 != X0 )
      | ( nil != X0 ) ),
    inference(instantiation,[status(thm)],[c_796]) ).

tcf(c_1504,plain,
    ( ( nil = sK3 )
    | ( sK3 != nil )
    | ( nil != nil ) ),
    inference(instantiation,[status(thm)],[c_1503]) ).

tcf(c_1783,plain,
    ( ssItem(sK7(sK3))
    | ( sK3 = nil )
    | ~ ssList(sK3) ),
    inference(instantiation,[status(thm)],[c_66]) ).

tcf(c_1784,plain,
    ( ssList(sK6(sK3))
    | ( sK3 = nil )
    | ~ ssList(sK3) ),
    inference(instantiation,[status(thm)],[c_65]) ).

tcf(c_1796,plain,
    ! [X0: $i,X1: $i] :
      ( ( sK3 = X0 )
      | ( sK3 != X1 )
      | ( X0 != X1 ) ),
    inference(instantiation,[status(thm)],[c_796]) ).

tcf(c_3192,plain,
    ! [X0: $i] :
      ( ( app(cons(sK7(sK3),nil),X0) = cons(sK7(sK3),X0) )
      | ~ ssList(X0)
      | ~ ssItem(sK7(sK3)) ),
    inference(instantiation,[status(thm)],[c_62]) ).

tcf(c_3196,plain,
    ! [X0: $i] :
      ( ~ ssList(X0)
      | ~ ssItem(sK7(sK3))
      | ( app(cons(sK7(sK3),nil),X0) != sK3 ) ),
    inference(instantiation,[status(thm)],[c_117]) ).

tcf(c_3518,plain,
    ! [X0: $i] :
      ( ( sK3 = X0 )
      | ( sK3 != sK3 )
      | ( X0 != sK3 ) ),
    inference(instantiation,[status(thm)],[c_1796]) ).

tcf(c_3519,plain,
    sK3 = sK3,
    inference(instantiation,[status(thm)],[c_794]) ).

tcf(c_7045,plain,
    ! [X0: $i,X1: $i] :
      ( ( app(cons(sK7(sK3),nil),X0) = sK3 )
      | ( sK3 != X1 )
      | ( app(cons(sK7(sK3),nil),X0) != X1 ) ),
    inference(instantiation,[status(thm)],[c_796]) ).

tcf(c_8799,plain,
    ( ( sK3 = cons(sK7(sK3),sK6(sK3)) )
    | ( sK3 != sK3 )
    | ( cons(sK7(sK3),sK6(sK3)) != sK3 ) ),
    inference(instantiation,[status(thm)],[c_3518]) ).

tcf(c_23819,plain,
    ! [X0: $i] :
      ( ( app(cons(sK7(sK3),nil),X0) = sK3 )
      | ( sK3 != cons(sK7(sK3),sK6(sK3)) )
      | ( app(cons(sK7(sK3),nil),X0) != cons(sK7(sK3),sK6(sK3)) ) ),
    inference(instantiation,[status(thm)],[c_7045]) ).

tcf(c_35586,plain,
    ( ( app(cons(sK7(sK3),nil),sK6(sK3)) = sK3 )
    | ( sK3 != cons(sK7(sK3),sK6(sK3)) )
    | ( app(cons(sK7(sK3),nil),sK6(sK3)) != cons(sK7(sK3),sK6(sK3)) ) ),
    inference(instantiation,[status(thm)],[c_23819]) ).

tcf(c_35587,plain,
    ( ( app(cons(sK7(sK3),nil),sK6(sK3)) = cons(sK7(sK3),sK6(sK3)) )
    | ~ ssList(sK6(sK3))
    | ~ ssItem(sK7(sK3)) ),
    inference(instantiation,[status(thm)],[c_3192]) ).

tcf(c_48937,plain,
    ( ~ ssList(sK6(sK3))
    | ~ ssItem(sK7(sK3))
    | ( app(cons(sK7(sK3),nil),sK6(sK3)) != sK3 ) ),
    inference(instantiation,[status(thm)],[c_3196]) ).

tcf(c_48938,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_48937,c_35587,c_35586,c_8799,c_3519,c_1783,c_1784,c_1504,c_1278,c_482,c_94,c_87,c_85,c_57]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : SWC313+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04  % Command  : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.09/0.36  % Computer : n001.cluster.edu
% 0.09/0.36  % Model    : x86_64 x86_64
% 0.09/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36  % Memory   : 8046.5625MB
% 0.09/0.36  % OS       : Linux 6.8.0-71-generic
% 0.09/0.36  % CPULimit : 300
% 0.09/0.36  % WCLimit  : 300
% 0.09/0.36  % DateTime : Thu Sep 24 17:39:53 UTC 2026
% 0.12/0.36  % CPUTime  : 
% 0.12/0.36  Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.12/0.40  Running first-order theorem proving
% 0.12/0.40  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
% 0.12/0.41  
% 0.12/0.41  % ======== iProver multi-core TPTP/SMT =========
% 0.12/0.41  
% 0.12/0.41  % Detected problem language: tptp
% 0.12/0.42  % Proving...
% 22.75/4.27  % SZS status Started for theBenchmark.p
% 22.75/4.27  % SZS status Theorem for theBenchmark.p
% 22.75/4.27  
% 22.75/4.27  %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 22.75/4.27  
% 22.75/4.27  % ------  iProver source info
% 22.75/4.27  
% 22.75/4.27  % git: date: 2026-07-19 20:42:38 +0200
% 22.75/4.27  % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 22.75/4.27  % git: non_committed_changes: false
% 22.75/4.27  
% 22.75/4.27  % ------ Parsing...
% 22.75/4.27  % ------ Clausification by vclausify_rel  & Parsing by iProver...% 
% 22.75/4.27  
% 22.75/4.27  % ------ 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 % 
% 22.75/4.27  
% 22.75/4.27  % ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e % 
% 22.75/4.27  
% 22.75/4.27  % ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 22.75/4.27  % ------ Proving...
% 22.75/4.27  % ------ Problem Properties 
% 22.75/4.27  
% 22.75/4.27  % 
% 22.75/4.27  % clauses                               27
% 22.75/4.27  % conjectures                           3
% 22.75/4.27  % EPR                                   7
% 22.75/4.27  % Horn                                  24
% 22.75/4.27  % unary                                 8
% 22.75/4.27  % binary                                2
% 22.75/4.27  % lits                                  77
% 22.75/4.27  % lits eq                               27
% 22.75/4.27  % fd_pure                               0
% 22.75/4.27  % fd_pseudo                             0
% 22.75/4.27  % fd_cond                               4
% 22.75/4.27  % fd_pseudo_cond                        4
% 22.75/4.27  % AC symbols                            0
% 22.75/4.27  
% 22.75/4.27  % ------ Schedule dynamic 5 is on 
% 22.75/4.27  
% 22.75/4.27  % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 22.75/4.27  
% 22.75/4.27  
% 22.75/4.27  % ------ 
% 22.75/4.27  % Current options:
% 22.75/4.27  % ------ 
% 22.75/4.27  
% 22.75/4.27  
% 22.75/4.27  % 
% 22.75/4.27  
% 22.75/4.27  % ------ Proving...
% 22.75/4.27  % 
% 22.75/4.27  
% 22.75/4.27  % SZS status Theorem for theBenchmark.p
% 22.75/4.27  
% 22.75/4.27  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 22.75/4.27  
% 22.75/4.27  
%------------------------------------------------------------------------------