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iProver---3.9.4.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : iProver---3.9.4
% Problem  : SWC065+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 : n011.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 03:07:44 PM UTC 2026

% Result   : Theorem 4.75s 21.40s
% Output   : CNFRefutation 4.75s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named f223ERROR: Could not build tree for root c_5170ERROR: MakeTreeStats fails)

% Comments : 
%------------------------------------------------------------------------------
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/sandbox/benchmark/Axioms/SWC001+0.ax',ax7) ).

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(f28,axiom,
    ! [X0] :
      ( ssList(X0)
     => app(nil,X0) = X0 ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax28) ).

fof(f55,axiom,
    ! [X0] :
      ( ssList(X0)
     => segmentP(X0,X0) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax55) ).

fof(f83,axiom,
    ! [X0] :
      ( ssList(X0)
     => ! [X1] :
          ( ssList(X1)
         => ( nil = app(X0,X1)
          <=> ( nil = X0
              & nil = X1 ) ) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax83) ).

fof(f96,conjecture,
    ! [X0] :
      ( ssList(X0)
     => ! [X1] :
          ( ssList(X1)
         => ! [X2] :
              ( ssList(X2)
             => ! [X3] :
                  ( ssList(X3)
                 => ( ( ( ? [X8] :
                            ( segmentP(X0,X8)
                            & segmentP(X1,X8)
                            & neq(X8,nil)
                            & ssList(X8) )
                        | ~ neq(X1,nil) )
                      & ( nil = X0
                        | nil != X1 ) )
                    | ( nil = X2
                      & nil != X3 )
                    | ! [X4] :
                        ( ssList(X4)
                       => ( ? [X5] :
                              ( ? [X6] :
                                  ( ? [X7] :
                                      ( app(X7,cons(X5,nil)) = X2
                                      & ssList(X7) )
                                  & app(cons(X5,nil),X6) = X4
                                  & ssList(X6) )
                              & ssItem(X5) )
                          | ~ equalelemsP(X2)
                          | app(X2,X4) != X3 ) )
                    | 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)
                   => ( ( ( ? [X8] :
                              ( segmentP(X0,X8)
                              & segmentP(X1,X8)
                              & neq(X8,nil)
                              & ssList(X8) )
                          | ~ neq(X1,nil) )
                        & ( nil = X0
                          | nil != X1 ) )
                      | ( nil = X2
                        & nil != X3 )
                      | ! [X4] :
                          ( ssList(X4)
                         => ( ? [X5] :
                                ( ? [X6] :
                                    ( ? [X7] :
                                        ( app(X7,cons(X5,nil)) = X2
                                        & ssList(X7) )
                                    & app(cons(X5,nil),X6) = X4
                                    & ssList(X6) )
                                & ssItem(X5) )
                            | ~ equalelemsP(X2)
                            | app(X2,X4) != X3 ) )
                      | 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)
                  & ( ( ! [X8] :
                          ( ~ segmentP(X0,X8)
                          | ~ segmentP(X1,X8)
                          | ~ neq(X8,nil)
                          | ~ ssList(X8) )
                      & neq(X1,nil) )
                    | ( nil != X0
                      & nil = X1 ) )
                  & ( nil != X2
                    | nil = X3 )
                  & ? [X4] :
                      ( ssList(X4)
                      & ! [X5] :
                          ( ! [X6] :
                              ( ! [X7] :
                                  ( app(X7,cons(X5,nil)) != X2
                                  | ~ ssList(X7) )
                              | app(cons(X5,nil),X6) != X4
                              | ~ ssList(X6) )
                          | ~ ssItem(X5) )
                      & equalelemsP(X2)
                      & app(X2,X4) = X3 )
                  & X0 = X2
                  & X1 = X3 ) ) ) ),
    inference(ennf_transformation,[],[f97]) ).

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

fof(f110,plain,
    ! [X0] :
      ( ~ ssList(X0)
      | ! [X1] :
          ( ~ ssList(X1)
          | ( nil = app(X0,X1)
          <=> ( nil = X0
              & nil = X1 ) ) ) ),
    inference(ennf_transformation,[],[f83]) ).

fof(f116,plain,
    ! [X0] :
      ( ~ ssList(X0)
      | app(nil,X0) = X0 ),
    inference(ennf_transformation,[],[f28]) ).

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

fof(f124,plain,
    ! [X0] :
      ( ~ ssList(X0)
      | segmentP(X0,X0) ),
    inference(ennf_transformation,[],[f55]) ).

fof(f129,plain,
    ! [X0] :
      ( ~ ssList(X0)
      | ! [X1] :
          ( ~ ssList(X1)
          | ( segmentP(X0,X1)
          <=> ? [X2] :
                ( ? [X3] :
                    ( app(app(X2,X1),X3) = X0
                    & ssList(X3) )
                & ssList(X2) ) ) ) ),
    inference(ennf_transformation,[],[f7]) ).

fof(f133,plain,
    ( ssList(sK0)
    & ssList(sK1)
    & ssList(sK2)
    & ssList(sK3)
    & ( ( ! [X8] :
            ( ~ segmentP(sK0,X8)
            | ~ segmentP(sK1,X8)
            | ~ neq(X8,nil)
            | ~ ssList(X8) )
        & neq(sK1,nil) )
      | ( nil != sK0
        & nil = sK1 ) )
    & ( nil != sK2
      | nil = sK3 )
    & ssList(sK4)
    & ! [X5] :
        ( ! [X6] :
            ( ! [X7] :
                ( app(X7,cons(X5,nil)) != sK2
                | ~ ssList(X7) )
            | app(cons(X5,nil),X6) != sK4
            | ~ ssList(X6) )
        | ~ ssItem(X5) )
    & equalelemsP(sK2)
    & sK3 = app(sK2,sK4)
    & sK0 = sK2
    & sK1 = sK3 ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2),skolemize(X3,sK3),skolemize(X4,sK4)],[f99]) ).

fof(f136,plain,
    ! [X0] :
      ( ~ ssList(X0)
      | ! [X1] :
          ( ~ ssList(X1)
          | ( ( nil != app(X0,X1)
              | ( nil = X0
                & nil = X1 ) )
            & ( nil != X0
              | nil != X1
              | nil = app(X0,X1) ) ) ) ),
    inference(nnf_transformation,[],[f110]) ).

fof(f137,plain,
    ! [X0] :
      ( ~ ssList(X0)
      | ! [X1] :
          ( ~ ssList(X1)
          | ( ( nil != app(X0,X1)
              | ( nil = X0
                & nil = X1 ) )
            & ( nil != X0
              | nil != X1
              | nil = app(X0,X1) ) ) ) ),
    inference(flattening,[],[f136]) ).

fof(f138,plain,
    ! [X0] :
      ( ~ ssList(X0)
      | ! [X1] :
          ( ~ ssList(X1)
          | ( ( ~ neq(X0,X1)
              | X0 != X1 )
            & ( X0 = X1
              | neq(X0,X1) ) ) ) ),
    inference(nnf_transformation,[],[f118]) ).

fof(f141,plain,
    ! [X0] :
      ( ~ ssList(X0)
      | ! [X1] :
          ( ~ ssList(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) ) ) ) ),
    inference(nnf_transformation,[],[f129]) ).

fof(f142,plain,
    ! [X0] :
      ( ~ ssList(X0)
      | ! [X1] :
          ( ~ ssList(X1)
          | ( ( ~ segmentP(X0,X1)
              | ? [X4] :
                  ( ? [X5] :
                      ( app(app(X4,X1),X5) = X0
                      & ssList(X5) )
                  & ssList(X4) ) )
            & ( ! [X2] :
                  ( ! [X3] :
                      ( app(app(X2,X1),X3) != X0
                      | ~ ssList(X3) )
                  | ~ ssList(X2) )
              | segmentP(X0,X1) ) ) ) ),
    inference(rectify,[],[f141]) ).

fof(f143,plain,
    ! [X0] :
      ( ~ ssList(X0)
      | ! [X1] :
          ( ~ ssList(X1)
          | ( ( ~ segmentP(X0,X1)
              | ( app(app(sK9(X0,X1),X1),sK10(X0,X1)) = X0
                & ssList(sK10(X0,X1))
                & ssList(sK9(X0,X1)) ) )
            & ( ! [X2] :
                  ( ! [X3] :
                      ( app(app(X2,X1),X3) != X0
                      | ~ ssList(X3) )
                  | ~ ssList(X2) )
              | segmentP(X0,X1) ) ) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK9,sK10]),skolemize(X4,sK9(X0,X1)),skolemize(X5,sK10(X0,X1))],[f142]) ).

fof(f147,plain,
    ssList(sK0),
    inference(cnf_transformation,[],[f133]) ).

fof(f148,plain,
    ssList(sK1),
    inference(cnf_transformation,[],[f133]) ).

fof(f152,plain,
    ( neq(sK1,nil)
    | nil != sK0 ),
    inference(cnf_transformation,[],[f133]) ).

fof(f153,plain,
    ! [X8] :
      ( ~ segmentP(sK0,X8)
      | ~ segmentP(sK1,X8)
      | ~ neq(X8,nil)
      | ~ ssList(X8)
      | nil = sK1 ),
    inference(cnf_transformation,[],[f133]) ).

fof(f155,plain,
    ( nil != sK2
    | nil = sK3 ),
    inference(cnf_transformation,[],[f133]) ).

fof(f156,plain,
    ssList(sK4),
    inference(cnf_transformation,[],[f133]) ).

fof(f159,plain,
    sK3 = app(sK2,sK4),
    inference(cnf_transformation,[],[f133]) ).

fof(f160,plain,
    sK0 = sK2,
    inference(cnf_transformation,[],[f133]) ).

fof(f161,plain,
    sK1 = sK3,
    inference(cnf_transformation,[],[f133]) ).

fof(f176,plain,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | nil != app(X0,X1)
      | nil = X0 ),
    inference(cnf_transformation,[],[f137]) ).

fof(f182,plain,
    ! [X0] :
      ( ~ ssList(X0)
      | app(nil,X0) = X0 ),
    inference(cnf_transformation,[],[f116]) ).

fof(f185,plain,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | X0 = X1
      | neq(X0,X1) ),
    inference(cnf_transformation,[],[f138]) ).

fof(f188,plain,
    ssList(nil),
    inference(cnf_transformation,[],[f17]) ).

fof(f193,plain,
    ! [X0] :
      ( ~ ssList(X0)
      | segmentP(X0,X0) ),
    inference(cnf_transformation,[],[f124]) ).

fof(f199,plain,
    ! [X2,X3,X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | app(app(X2,X1),X3) != X0
      | ~ ssList(X3)
      | ~ ssList(X2)
      | segmentP(X0,X1) ),
    inference(cnf_transformation,[],[f143]) ).

fof(f210,plain,
    ! [X8] :
      ( ~ segmentP(sK2,X8)
      | ~ segmentP(sK3,X8)
      | ~ neq(X8,nil)
      | ~ ssList(X8)
      | nil = sK3 ),
    inference(definition_unfolding,[],[f153,f161,f161,f160]) ).

fof(f211,plain,
    ( neq(sK3,nil)
    | nil != sK2 ),
    inference(definition_unfolding,[],[f152,f160,f161]) ).

fof(f213,plain,
    ssList(sK3),
    inference(definition_unfolding,[],[f148,f161]) ).

fof(f214,plain,
    ssList(sK2),
    inference(definition_unfolding,[],[f147,f160]) ).

fof(f220,plain,
    ! [X2,X3,X1] :
      ( ~ ssList(app(app(X2,X1),X3))
      | ~ ssList(X1)
      | ~ ssList(X3)
      | ~ ssList(X2)
      | segmentP(app(app(X2,X1),X3),X1) ),
    inference(equality_resolution,[],[f199]) ).

tcf(c_49,negated_conjecture,
    app(sK2,sK4) = sK3,
    inference(cnf_transformation,[],[f159]) ).

tcf(c_52,negated_conjecture,
    ssList(sK4),
    inference(cnf_transformation,[],[f156]) ).

tcf(c_53,negated_conjecture,
    ( ( sK3 = nil )
    | ( sK2 != nil ) ),
    inference(cnf_transformation,[],[f155]) ).

tcf(c_55,negated_conjecture,
    ! [X0: $i] :
      ( ( sK3 = nil )
      | ~ ssList(X0)
      | ~ segmentP(sK2,X0)
      | ~ segmentP(sK3,X0)
      | ~ neq(X0,nil) ),
    inference(cnf_transformation,[],[f210]) ).

tcf(c_56,negated_conjecture,
    ( neq(sK3,nil)
    | ( sK2 != nil ) ),
    inference(cnf_transformation,[],[f211]) ).

tcf(c_60,negated_conjecture,
    ssList(sK3),
    inference(cnf_transformation,[],[f213]) ).

tcf(c_61,negated_conjecture,
    ssList(sK2),
    inference(cnf_transformation,[],[f214]) ).

tcf(c_78,plain,
    ! [X0: $i,X1: $i] :
      ( ( X0 = nil )
      | ~ ssList(X1)
      | ~ ssList(X0)
      | ( app(X0,X1) != nil ) ),
    inference(cnf_transformation,[],[f176]) ).

tcf(c_82,plain,
    ! [X0: $i] :
      ( ( app(nil,X0) = X0 )
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f182]) ).

tcf(c_84,plain,
    ! [X0: $i,X1: $i] :
      ( neq(X1,X0)
      | ( X0 = X1 )
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f185]) ).

tcf(c_85,plain,
    ! [X0: $i] :
      ( ~ ssList(X0)
      | ~ neq(X0,X0) ),
    inference(cnf_transformation,[],[f223]) ).

tcf(c_88,plain,
    ssList(nil),
    inference(cnf_transformation,[],[f188]) ).

tcf(c_93,plain,
    ! [X0: $i] :
      ( segmentP(X0,X0)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f193]) ).

tcf(c_96,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( segmentP(app(app(X0,X1),X2),X1)
      | ~ ssList(X2)
      | ~ ssList(X1)
      | ~ ssList(X0)
      | ~ ssList(app(app(X0,X1),X2)) ),
    inference(cnf_transformation,[],[f220]) ).

tcf(c_1160,plain,
    ! [X0: $i] :
      ( ~ ssList(X0)
      | ( sK2 != nil )
      | ( X0 != nil )
      | ( X0 != sK3 ) ),
    inference(resolution_lifted,[status(thm)],[c_56,c_85]) ).

tcf(c_1161,plain,
    ( ~ ssList(sK3)
    | ( sK2 != nil )
    | ( sK3 != nil ) ),
    inference(unflattening,[status(thm)],[c_1160]) ).

tcf(c_1162,plain,
    sK2 != nil,
    inference(global_subsumption_just,[status(thm)],[c_1161,c_60,c_53,c_1161]) ).

tcf(c_1199,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( sK3 = nil )
      | ( X1 = X2 )
      | ~ ssList(X2)
      | ~ ssList(X1)
      | ~ ssList(X0)
      | ~ segmentP(sK2,X0)
      | ~ segmentP(sK3,X0)
      | ( X2 != nil )
      | ( X0 != X1 ) ),
    inference(resolution_lifted,[status(thm)],[c_55,c_84]) ).

tcf(c_1200,plain,
    ! [X0: $i] :
      ( ( sK3 = nil )
      | ( X0 = nil )
      | ~ ssList(nil)
      | ~ ssList(X0)
      | ~ segmentP(sK2,X0)
      | ~ segmentP(sK3,X0) ),
    inference(unflattening,[status(thm)],[c_1199]) ).

tcf(c_1202,plain,
    ! [X0: $i] :
      ( ( sK3 = nil )
      | ( X0 = nil )
      | ~ segmentP(sK3,X0)
      | ~ segmentP(sK2,X0)
      | ~ ssList(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_1200,c_88,c_1200]) ).

tcf(c_1203,plain,
    ! [X0: $i] :
      ( ( sK3 = nil )
      | ( X0 = nil )
      | ~ ssList(X0)
      | ~ segmentP(sK2,X0)
      | ~ segmentP(sK3,X0) ),
    inference(renaming,[status(thm)],[c_1202]) ).

tcf(c_2905,plain,
    ( ( sK2 = nil )
    | ( sK3 = nil )
    | ~ ssList(sK2)
    | ~ segmentP(sK3,sK2) ),
    inference(superposition,[status(thm)],[c_93,c_1203]) ).

tcf(c_2906,plain,
    ( ( sK3 = nil )
    | ~ segmentP(sK3,sK2) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_2905,c_1162,c_61]) ).

tcf(c_2963,plain,
    app(nil,sK2) = sK2,
    inference(superposition,[status(thm)],[c_61,c_82]) ).

tcf(c_3526,plain,
    ( ( sK2 = nil )
    | ~ ssList(sK4)
    | ~ ssList(sK2)
    | ( sK3 != nil ) ),
    inference(superposition,[status(thm)],[c_49,c_78]) ).

tcf(c_3534,plain,
    sK3 != nil,
    inference(forward_subsumption_resolution,[status(thm)],[c_3526,c_1162,c_52,c_61]) ).

tcf(c_3537,plain,
    ~ segmentP(sK3,sK2),
    inference(backward_subsumption_resolution,[status(thm)],[c_2906,c_3534]) ).

tcf(c_4766,plain,
    ! [X0: $i] :
      ( segmentP(app(sK2,X0),sK2)
      | ~ ssList(nil)
      | ~ ssList(sK2)
      | ~ ssList(X0)
      | ~ ssList(app(app(nil,sK2),X0)) ),
    inference(superposition,[status(thm)],[c_2963,c_96]) ).

tcf(c_4782,plain,
    ! [X0: $i] :
      ( segmentP(app(sK2,X0),sK2)
      | ~ ssList(nil)
      | ~ ssList(sK2)
      | ~ ssList(X0)
      | ~ ssList(app(sK2,X0)) ),
    inference(light_normalisation,[status(thm)],[c_4766,c_2963]) ).

tcf(c_4783,plain,
    ! [X0: $i] :
      ( segmentP(app(sK2,X0),sK2)
      | ~ ssList(X0)
      | ~ ssList(app(sK2,X0)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_4782,c_88,c_61]) ).

tcf(c_5162,plain,
    ( segmentP(sK3,sK2)
    | ~ ssList(sK4)
    | ~ ssList(app(sK2,sK4)) ),
    inference(superposition,[status(thm)],[c_49,c_4783]) ).

tcf(c_5169,plain,
    ( segmentP(sK3,sK2)
    | ~ ssList(sK4)
    | ~ ssList(sK3) ),
    inference(light_normalisation,[status(thm)],[c_5162,c_49]) ).

tcf(c_5170,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[c_5169,c_3537,c_52,c_60]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SWC065+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04  % Command  : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.08/0.34   % Computer : n011.cluster.edu
% 0.08/0.34   % Model    : x86_64 x86_64
% 0.08/0.34   % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.34   % Memory   : 8046.5625MB
% 0.08/0.34   % OS       : Linux 6.8.0-71-generic
% 0.09/20.44  % CPULimit : 300
% 0.09/20.44  % WCLimit  : 300
% 0.09/20.44  % DateTime : Thu Sep 24 16:12:00 UTC 2026
% 0.09/20.44  % CPUTime  : 
% 0.09/20.44  Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.09/20.48  Running first-order theorem proving
% 0.09/20.48  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
% 0.09/20.50  
% 0.09/20.50  % ======== iProver multi-core TPTP/SMT =========
% 0.09/20.50  
% 0.32/20.50  % Detected problem language: tptp
% 0.32/20.51  % Proving...
% 4.75/21.40  % SZS status Started for theBenchmark.p
% 4.75/21.40  % SZS status Theorem for theBenchmark.p
% 4.75/21.40  
% 4.75/21.40  %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 4.75/21.40  
% 4.75/21.40  % ------  iProver source info
% 4.75/21.40  
% 4.75/21.40  % git: date: 2026-07-19 20:42:38 +0200
% 4.75/21.40  % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 4.75/21.40  % git: non_committed_changes: false
% 4.75/21.40  
% 4.75/21.40  % ------ Parsing...
% 4.75/21.40  % ------ Clausification by vclausify_rel  & Parsing by iProver...% 
% 4.75/21.40  
% 4.75/21.40  % ------ 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 % 
% 4.75/21.40  
% 4.75/21.40  % ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e % 
% 4.75/21.40  
% 4.75/21.40  % ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 4.75/21.40  % ------ Proving...
% 4.75/21.40  % ------ Problem Properties 
% 4.75/21.40  
% 4.75/21.40  % 
% 4.75/21.40  % clauses                               52
% 4.75/21.40  % conjectures                           6
% 4.75/21.40  % EPR                                   18
% 4.75/21.40  % Horn                                  43
% 4.75/21.40  % unary                                 13
% 4.75/21.40  % binary                                5
% 4.75/21.40  % lits                                  160
% 4.75/21.40  % lits eq                               38
% 4.75/21.40  % fd_pure                               0
% 4.75/21.40  % fd_pseudo                             0
% 4.75/21.40  % fd_cond                               6
% 4.75/21.40  % fd_pseudo_cond                        6
% 4.75/21.40  % AC symbols                            0
% 4.75/21.40  
% 4.75/21.40  % ------ Schedule dynamic 5 is on 
% 4.75/21.40  
% 4.75/21.40  % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 4.75/21.40  
% 4.75/21.40  
% 4.75/21.40  % ------ 
% 4.75/21.40  % Current options:
% 4.75/21.40  % ------ 
% 4.75/21.40  
% 4.75/21.40  
% 4.75/21.40  % 
% 4.75/21.40  
% 4.75/21.40  % ------ Proving...
% 4.75/21.40  % 
% 4.75/21.40  
% 4.75/21.40  % SZS status Theorem for theBenchmark.p
% 4.75/21.40  
% 4.75/21.40  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 4.75/21.40  
% 4.75/21.40  
%------------------------------------------------------------------------------