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iProver---3.9.4.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : iProver---3.9.4
% Problem  : SWC081+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 : n018.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 03:07:48 PM UTC 2026

% Result   : Theorem 7.19s 12.01s
% Output   : CNFRefutation 7.19s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named f238ERROR: Could not build tree for root c_7378ERROR: MakeTreeStats fails)

% Comments : 
%------------------------------------------------------------------------------
fof(f5,axiom,
    ! [X0] :
      ( ssList(X0)
     => ! [X1] :
          ( ssList(X1)
         => ( frontsegP(X0,X1)
          <=> ? [X2] :
                ( app(X1,X2) = X0
                & ssList(X2) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax5) ).

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(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(f96,conjecture,
    ! [X0] :
      ( ssList(X0)
     => ! [X1] :
          ( ssList(X1)
         => ! [X2] :
              ( ssList(X2)
             => ! [X3] :
                  ( ssList(X3)
                 => ( ( ( nil != X2
                        | nil != X3 )
                      & ! [X5] :
                          ( ssList(X5)
                         => ( ~ frontsegP(X2,X5)
                            | ~ frontsegP(X3,X5)
                            | ~ neq(X5,nil) ) ) )
                    | ? [X4] :
                        ( segmentP(X0,X4)
                        & segmentP(X1,X4)
                        & neq(X4,nil)
                        & 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 != X2
                          | nil != X3 )
                        & ! [X5] :
                            ( ssList(X5)
                           => ( ~ frontsegP(X2,X5)
                              | ~ frontsegP(X3,X5)
                              | ~ neq(X5,nil) ) ) )
                      | ? [X4] :
                          ( segmentP(X0,X4)
                          & segmentP(X1,X4)
                          & neq(X4,nil)
                          & 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 = X2
                      & nil = X3 )
                    | ? [X5] :
                        ( ssList(X5)
                        & frontsegP(X2,X5)
                        & frontsegP(X3,X5)
                        & neq(X5,nil) ) )
                  & ! [X4] :
                      ( ~ segmentP(X0,X4)
                      | ~ segmentP(X1,X4)
                      | ~ neq(X4,nil)
                      | ~ 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 = X2
                      & nil = X3 )
                    | ? [X5] :
                        ( ssList(X5)
                        & frontsegP(X2,X5)
                        & frontsegP(X3,X5)
                        & neq(X5,nil) ) )
                  & ! [X4] :
                      ( ~ segmentP(X0,X4)
                      | ~ segmentP(X1,X4)
                      | ~ neq(X4,nil)
                      | ~ ssList(X4) )
                  & neq(X1,nil)
                  & X0 = X2
                  & X1 = X3 ) ) ) ),
    inference(flattening,[],[f98]) ).

fof(f115,plain,
    ! [X0] :
      ( ~ ssList(X0)
      | ! [X1] :
          ( ~ ssList(X1)
          | ( frontsegP(X0,X1)
          <=> ? [X2] :
                ( app(X1,X2) = X0
                & ssList(X2) ) ) ) ),
    inference(ennf_transformation,[],[f5]) ).

fof(f125,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(f139,plain,
    ! [X0] :
      ( ~ ssList(X0)
      | app(nil,X0) = X0 ),
    inference(ennf_transformation,[],[f28]) ).

fof(f141,plain,
    ( ssList(sK0)
    & ssList(sK1)
    & ssList(sK2)
    & ssList(sK3)
    & ( ( nil = sK2
        & nil = sK3 )
      | ( ssList(sK4)
        & frontsegP(sK2,sK4)
        & frontsegP(sK3,sK4)
        & neq(sK4,nil) ) )
    & ! [X4] :
        ( ~ segmentP(sK0,X4)
        | ~ segmentP(sK1,X4)
        | ~ neq(X4,nil)
        | ~ ssList(X4) )
    & neq(sK1,nil)
    & 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(X5,sK4)],[f99]) ).

fof(f149,plain,
    ! [X0] :
      ( ~ ssList(X0)
      | ! [X1] :
          ( ~ ssList(X1)
          | ( ( ~ frontsegP(X0,X1)
              | ? [X2] :
                  ( app(X1,X2) = X0
                  & ssList(X2) ) )
            & ( ! [X2] :
                  ( app(X1,X2) != X0
                  | ~ ssList(X2) )
              | frontsegP(X0,X1) ) ) ) ),
    inference(nnf_transformation,[],[f115]) ).

fof(f150,plain,
    ! [X0] :
      ( ~ ssList(X0)
      | ! [X1] :
          ( ~ ssList(X1)
          | ( ( ~ frontsegP(X0,X1)
              | ? [X3] :
                  ( app(X1,X3) = X0
                  & ssList(X3) ) )
            & ( ! [X2] :
                  ( app(X1,X2) != X0
                  | ~ ssList(X2) )
              | frontsegP(X0,X1) ) ) ) ),
    inference(rectify,[],[f149]) ).

fof(f151,plain,
    ! [X0] :
      ( ~ ssList(X0)
      | ! [X1] :
          ( ~ ssList(X1)
          | ( ( ~ frontsegP(X0,X1)
              | ( app(X1,sK9(X0,X1)) = X0
                & ssList(sK9(X0,X1)) ) )
            & ( ! [X2] :
                  ( app(X1,X2) != X0
                  | ~ ssList(X2) )
              | frontsegP(X0,X1) ) ) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK9]),skolemize(X3,sK9(X0,X1))],[f150]) ).

fof(f153,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,[],[f125]) ).

fof(f154,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,[],[f153]) ).

fof(f155,plain,
    ! [X0] :
      ( ~ ssList(X0)
      | ! [X1] :
          ( ~ ssList(X1)
          | ( ( ~ segmentP(X0,X1)
              | ( app(app(sK10(X0,X1),X1),sK11(X0,X1)) = X0
                & ssList(sK11(X0,X1))
                & ssList(sK10(X0,X1)) ) )
            & ( ! [X2] :
                  ( ! [X3] :
                      ( app(app(X2,X1),X3) != X0
                      | ~ ssList(X3) )
                  | ~ ssList(X2) )
              | segmentP(X0,X1) ) ) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK10,sK11]),skolemize(X4,sK10(X0,X1)),skolemize(X5,sK11(X0,X1))],[f154]) ).

fof(f158,plain,
    ssList(sK0),
    inference(cnf_transformation,[],[f141]) ).

fof(f159,plain,
    ssList(sK1),
    inference(cnf_transformation,[],[f141]) ).

fof(f162,plain,
    ( nil = sK2
    | ssList(sK4) ),
    inference(cnf_transformation,[],[f141]) ).

fof(f163,plain,
    ( nil = sK3
    | ssList(sK4) ),
    inference(cnf_transformation,[],[f141]) ).

fof(f164,plain,
    ( nil = sK2
    | frontsegP(sK2,sK4) ),
    inference(cnf_transformation,[],[f141]) ).

fof(f165,plain,
    ( nil = sK3
    | frontsegP(sK2,sK4) ),
    inference(cnf_transformation,[],[f141]) ).

fof(f166,plain,
    ( nil = sK2
    | frontsegP(sK3,sK4) ),
    inference(cnf_transformation,[],[f141]) ).

fof(f167,plain,
    ( nil = sK3
    | frontsegP(sK3,sK4) ),
    inference(cnf_transformation,[],[f141]) ).

fof(f169,plain,
    ( nil = sK3
    | neq(sK4,nil) ),
    inference(cnf_transformation,[],[f141]) ).

fof(f170,plain,
    ! [X4] :
      ( ~ segmentP(sK0,X4)
      | ~ segmentP(sK1,X4)
      | ~ neq(X4,nil)
      | ~ ssList(X4) ),
    inference(cnf_transformation,[],[f141]) ).

fof(f171,plain,
    neq(sK1,nil),
    inference(cnf_transformation,[],[f141]) ).

fof(f172,plain,
    sK0 = sK2,
    inference(cnf_transformation,[],[f141]) ).

fof(f173,plain,
    sK1 = sK3,
    inference(cnf_transformation,[],[f141]) ).

fof(f185,plain,
    ssList(nil),
    inference(cnf_transformation,[],[f17]) ).

fof(f196,plain,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | ~ frontsegP(X0,X1)
      | app(X1,sK9(X0,X1)) = X0 ),
    inference(cnf_transformation,[],[f151]) ).

fof(f197,plain,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | ~ frontsegP(X0,X1)
      | ssList(sK9(X0,X1)) ),
    inference(cnf_transformation,[],[f151]) ).

fof(f209,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,[],[f155]) ).

fof(f223,plain,
    ! [X0] :
      ( ~ ssList(X0)
      | app(nil,X0) = X0 ),
    inference(cnf_transformation,[],[f139]) ).

fof(f225,plain,
    neq(sK3,nil),
    inference(definition_unfolding,[],[f171,f173]) ).

fof(f226,plain,
    ! [X4] :
      ( ~ segmentP(sK2,X4)
      | ~ segmentP(sK3,X4)
      | ~ neq(X4,nil)
      | ~ ssList(X4) ),
    inference(definition_unfolding,[],[f170,f173,f172]) ).

fof(f227,plain,
    ssList(sK3),
    inference(definition_unfolding,[],[f159,f173]) ).

fof(f228,plain,
    ssList(sK2),
    inference(definition_unfolding,[],[f158,f172]) ).

fof(f235,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,[],[f209]) ).

tcf(c_49,negated_conjecture,
    neq(sK3,nil),
    inference(cnf_transformation,[],[f225]) ).

tcf(c_50,negated_conjecture,
    ! [X0: $i] :
      ( ~ ssList(X0)
      | ~ segmentP(sK2,X0)
      | ~ segmentP(sK3,X0)
      | ~ neq(X0,nil) ),
    inference(cnf_transformation,[],[f226]) ).

tcf(c_51,negated_conjecture,
    ( neq(sK4,nil)
    | ( sK3 = nil ) ),
    inference(cnf_transformation,[],[f169]) ).

tcf(c_53,negated_conjecture,
    ( frontsegP(sK3,sK4)
    | ( sK3 = nil ) ),
    inference(cnf_transformation,[],[f167]) ).

tcf(c_54,negated_conjecture,
    ( frontsegP(sK3,sK4)
    | ( nil = sK2 ) ),
    inference(cnf_transformation,[],[f166]) ).

tcf(c_55,negated_conjecture,
    ( frontsegP(sK2,sK4)
    | ( sK3 = nil ) ),
    inference(cnf_transformation,[],[f165]) ).

tcf(c_56,negated_conjecture,
    ( frontsegP(sK2,sK4)
    | ( nil = sK2 ) ),
    inference(cnf_transformation,[],[f164]) ).

tcf(c_57,negated_conjecture,
    ( ssList(sK4)
    | ( sK3 = nil ) ),
    inference(cnf_transformation,[],[f163]) ).

tcf(c_58,negated_conjecture,
    ( ssList(sK4)
    | ( nil = sK2 ) ),
    inference(cnf_transformation,[],[f162]) ).

tcf(c_61,negated_conjecture,
    ssList(sK3),
    inference(cnf_transformation,[],[f227]) ).

tcf(c_62,negated_conjecture,
    ssList(sK2),
    inference(cnf_transformation,[],[f228]) ).

tcf(c_67,plain,
    ! [X0: $i] :
      ( ~ ssList(X0)
      | ~ neq(X0,X0) ),
    inference(cnf_transformation,[],[f238]) ).

tcf(c_74,plain,
    ssList(nil),
    inference(cnf_transformation,[],[f185]) ).

tcf(c_86,plain,
    ! [X0: $i,X1: $i] :
      ( ssList(sK9(X0,X1))
      | ~ ssList(X1)
      | ~ ssList(X0)
      | ~ frontsegP(X0,X1) ),
    inference(cnf_transformation,[],[f197]) ).

tcf(c_87,plain,
    ! [X0: $i,X1: $i] :
      ( ( app(X1,sK9(X0,X1)) = X0 )
      | ~ ssList(X1)
      | ~ ssList(X0)
      | ~ frontsegP(X0,X1) ),
    inference(cnf_transformation,[],[f196]) ).

tcf(c_95,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,[],[f235]) ).

tcf(c_112,plain,
    ! [X0: $i] :
      ( ( app(nil,X0) = X0 )
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f223]) ).

tcf(c_961,plain,
    ! [X0: $i] :
      ( ~ ssList(X0)
      | ( X0 != nil )
      | ( X0 != sK3 ) ),
    inference(resolution_lifted,[status(thm)],[c_49,c_67]) ).

tcf(c_962,plain,
    ( ~ ssList(sK3)
    | ( sK3 != nil ) ),
    inference(unflattening,[status(thm)],[c_961]) ).

tcf(c_981,plain,
    ! [X0: $i] :
      ( ( sK3 = nil )
      | ~ ssList(X0)
      | ~ segmentP(sK2,X0)
      | ~ segmentP(sK3,X0)
      | ( nil != nil )
      | ( X0 != sK4 ) ),
    inference(resolution_lifted,[status(thm)],[c_50,c_51]) ).

tcf(c_982,plain,
    ( ( sK3 = nil )
    | ~ ssList(sK4)
    | ~ segmentP(sK2,sK4)
    | ~ segmentP(sK3,sK4) ),
    inference(unflattening,[status(thm)],[c_981]) ).

tcf(c_983,plain,
    ( ~ segmentP(sK2,sK4)
    | ~ segmentP(sK3,sK4) ),
    inference(global_subsumption_just,[status(thm)],[c_982,c_61,c_57,c_962,c_982]) ).

tcf(c_1088,negated_conjecture,
    ssList(sK4),
    inference(global_subsumption_just,[status(thm)],[c_58,c_61,c_57,c_962]) ).

tcf(c_1090,negated_conjecture,
    frontsegP(sK2,sK4),
    inference(global_subsumption_just,[status(thm)],[c_56,c_61,c_55,c_962]) ).

tcf(c_1092,negated_conjecture,
    frontsegP(sK3,sK4),
    inference(global_subsumption_just,[status(thm)],[c_54,c_61,c_53,c_962]) ).

tcf(c_3376,plain,
    app(nil,sK4) = sK4,
    inference(superposition,[status(thm)],[c_1088,c_112]) ).

tcf(c_4092,plain,
    ( ( app(sK4,sK9(sK3,sK4)) = sK3 )
    | ~ ssList(sK4)
    | ~ ssList(sK3) ),
    inference(superposition,[status(thm)],[c_1092,c_87]) ).

tcf(c_4093,plain,
    ( ( app(sK4,sK9(sK2,sK4)) = sK2 )
    | ~ ssList(sK4)
    | ~ ssList(sK2) ),
    inference(superposition,[status(thm)],[c_1090,c_87]) ).

tcf(c_4118,plain,
    app(sK4,sK9(sK2,sK4)) = sK2,
    inference(forward_subsumption_resolution,[status(thm)],[c_4093,c_1088,c_62]) ).

tcf(c_4119,plain,
    app(sK4,sK9(sK3,sK4)) = sK3,
    inference(forward_subsumption_resolution,[status(thm)],[c_4092,c_1088,c_61]) ).

tcf(c_6309,plain,
    ! [X0: $i] :
      ( segmentP(app(sK4,X0),sK4)
      | ~ ssList(sK4)
      | ~ ssList(nil)
      | ~ ssList(X0)
      | ~ ssList(app(app(nil,sK4),X0)) ),
    inference(superposition,[status(thm)],[c_3376,c_95]) ).

tcf(c_6348,plain,
    ! [X0: $i] :
      ( segmentP(app(sK4,X0),sK4)
      | ~ ssList(sK4)
      | ~ ssList(nil)
      | ~ ssList(X0)
      | ~ ssList(app(sK4,X0)) ),
    inference(light_normalisation,[status(thm)],[c_6309,c_3376]) ).

tcf(c_6349,plain,
    ! [X0: $i] :
      ( segmentP(app(sK4,X0),sK4)
      | ~ ssList(X0)
      | ~ ssList(app(sK4,X0)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_6348,c_1088,c_74]) ).

tcf(c_7094,plain,
    ( segmentP(sK3,sK4)
    | ~ ssList(sK9(sK3,sK4))
    | ~ ssList(app(sK4,sK9(sK3,sK4))) ),
    inference(superposition,[status(thm)],[c_4119,c_6349]) ).

tcf(c_7095,plain,
    ( segmentP(sK2,sK4)
    | ~ ssList(sK9(sK2,sK4))
    | ~ ssList(app(sK4,sK9(sK2,sK4))) ),
    inference(superposition,[status(thm)],[c_4118,c_6349]) ).

tcf(c_7102,plain,
    ( segmentP(sK2,sK4)
    | ~ ssList(sK2)
    | ~ ssList(sK9(sK2,sK4)) ),
    inference(light_normalisation,[status(thm)],[c_7095,c_4118]) ).

tcf(c_7103,plain,
    ( segmentP(sK2,sK4)
    | ~ ssList(sK9(sK2,sK4)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_7102,c_62]) ).

tcf(c_7106,plain,
    ( segmentP(sK3,sK4)
    | ~ ssList(sK3)
    | ~ ssList(sK9(sK3,sK4)) ),
    inference(light_normalisation,[status(thm)],[c_7094,c_4119]) ).

tcf(c_7107,plain,
    ( segmentP(sK3,sK4)
    | ~ ssList(sK9(sK3,sK4)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_7106,c_61]) ).

tcf(c_7359,plain,
    ( segmentP(sK2,sK4)
    | ~ ssList(sK4)
    | ~ ssList(sK2)
    | ~ frontsegP(sK2,sK4) ),
    inference(superposition,[status(thm)],[c_86,c_7103]) ).

tcf(c_7360,plain,
    segmentP(sK2,sK4),
    inference(forward_subsumption_resolution,[status(thm)],[c_7359,c_1088,c_62,c_1090]) ).

tcf(c_7375,plain,
    ~ ssList(sK9(sK3,sK4)),
    inference(global_subsumption_just,[status(thm)],[c_7107,c_983,c_7107,c_7360]) ).

tcf(c_7377,plain,
    ( ~ ssList(sK4)
    | ~ ssList(sK3)
    | ~ frontsegP(sK3,sK4) ),
    inference(superposition,[status(thm)],[c_86,c_7375]) ).

tcf(c_7378,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[c_7377,c_1088,c_61,c_1092]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05  % Problem  : SWC081+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.07  % Command  : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.19/10.47  % Computer : n018.cluster.edu
% 0.19/10.47  % Model    : x86_64 x86_64
% 0.19/10.47  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/10.47  % Memory   : 8046.5625MB
% 0.19/10.47  % OS       : Linux 6.8.0-71-generic
% 0.19/10.47  % CPULimit : 300
% 0.19/10.47  % WCLimit  : 300
% 0.19/10.47  % DateTime : Thu Sep 24 16:19:14 UTC 2026
% 0.19/10.47  % CPUTime  : 
% 0.19/10.47  Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.24/10.53  Running first-order theorem proving
% 0.24/10.53  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
% 0.24/10.55  
% 0.24/10.55  % ======== iProver multi-core TPTP/SMT =========
% 0.24/10.55  
% 0.24/10.55  % Detected problem language: tptp
% 0.24/10.57  % Proving...
% 7.19/12.01  % SZS status Started for theBenchmark.p
% 7.19/12.01  % SZS status Theorem for theBenchmark.p
% 7.19/12.01  
% 7.19/12.01  %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 7.19/12.01  
% 7.19/12.01  % ------  iProver source info
% 7.19/12.01  
% 7.19/12.01  % git: date: 2026-07-19 20:42:38 +0200
% 7.19/12.01  % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 7.19/12.01  % git: non_committed_changes: false
% 7.19/12.01  
% 7.19/12.01  % ------ Parsing...
% 7.19/12.01  % ------ Clausification by vclausify_rel  & Parsing by iProver...% 
% 7.19/12.01  
% 7.19/12.01  % ------ 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  sup_sim: 0  sf_s  rm: 2 0s  sf_e  pe_s  pe_e % 
% 7.19/12.01  
% 7.19/12.01  % ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e % 
% 7.19/12.01  
% 7.19/12.01  % ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 7.19/12.01  % ------ Proving...
% 7.19/12.01  % ------ Problem Properties 
% 7.19/12.01  
% 7.19/12.01  % 
% 7.19/12.01  % clauses                               57
% 7.19/12.01  % conjectures                           5
% 7.19/12.01  % EPR                                   26
% 7.19/12.01  % Horn                                  54
% 7.19/12.01  % unary                                 14
% 7.19/12.01  % binary                                8
% 7.19/12.01  % lits                                  180
% 7.19/12.01  % lits eq                               35
% 7.19/12.01  % fd_pure                               0
% 7.19/12.01  % fd_pseudo                             0
% 7.19/12.01  % fd_cond                               7
% 7.19/12.01  % fd_pseudo_cond                        7
% 7.19/12.01  % AC symbols                            0
% 7.19/12.01  
% 7.19/12.01  % ------ Schedule dynamic 5 is on 
% 7.19/12.01  
% 7.19/12.01  % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 7.19/12.01  
% 7.19/12.01  
% 7.19/12.01  % ------ 
% 7.19/12.01  % Current options:
% 7.19/12.01  % ------ 
% 7.19/12.01  
% 7.19/12.01  
% 7.19/12.01  % 
% 7.19/12.01  
% 7.19/12.01  % ------ Proving...
% 7.19/12.01  % 
% 7.19/12.01  
% 7.19/12.01  % SZS status Theorem for theBenchmark.p
% 7.19/12.01  
% 7.19/12.01  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 7.19/12.01  
% 7.19/12.01  
%------------------------------------------------------------------------------