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iProver---3.9.4.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : iProver---3.9.4
% Problem  : SWC106+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 : n013.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 03:07:55 PM UTC 2026

% Result   : Theorem 3.61s 1.09s
% Output   : CNFRefutation 3.61s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   19
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   79 (  20 unt;   1 def)
%            Number of atoms       :  305 (  85 equ)
%            Maximal formula atoms :   15 (   3 avg)
%            Number of connectives :  370 ( 144   ~; 131   |;  71   &)
%                                         (   4 <=>;  20  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   21 (   6 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of types       :    1 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :    7 (   5 usr;   1 prp; 0-4 aty)
%            Number of functors    :   10 (  10 usr;   5 con; 0-2 aty)
%            Number of variables   :  164 (   0 sgn 138   !;  26   ?;  52   :)

% Comments : 
%------------------------------------------------------------------------------
fof(f6,axiom,
    ! [X0] :
      ( ssList(X0)
     => ! [X1] :
          ( ssList(X1)
         => ( rearsegP(X0,X1)
          <=> ? [X2] :
                ( app(X2,X1) = X0
                & ssList(X2) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax6) ).

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(f18,axiom,
    ! [X0] :
      ( ssList(X0)
     => ! [X1] :
          ( ssItem(X1)
         => cons(X1,X0) != X0 ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax18) ).

fof(f26,axiom,
    ! [X0] :
      ( ssList(X0)
     => ! [X1] :
          ( ssList(X1)
         => ssList(app(X0,X1)) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax26) ).

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

fof(f107,plain,
    ! [X0] :
      ( ~ ssList(X0)
      | ! [X1] :
          ( ~ ssItem(X1)
          | cons(X1,X0) != X0 ) ),
    inference(ennf_transformation,[],[f18]) ).

fof(f117,plain,
    ! [X0] :
      ( ~ ssList(X0)
      | ! [X1] :
          ( ~ ssList(X1)
          | ssList(app(X0,X1)) ) ),
    inference(ennf_transformation,[],[f26]) ).

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

fof(f129,plain,
    ! [X0] :
      ( ~ ssList(X0)
      | ! [X1] :
          ( ~ ssList(X1)
          | ( rearsegP(X0,X1)
          <=> ? [X2] :
                ( app(X2,X1) = X0
                & ssList(X2) ) ) ) ),
    inference(ennf_transformation,[],[f6]) ).

fof(f135,plain,
    ( ssList(sK3)
    & ssList(sK4)
    & ssList(sK5)
    & ssList(sK6)
    & ( ( ~ neq(sK6,nil)
        & neq(sK4,nil) )
      | sP0(sK4,sK5,sK6,sK3) )
    & sK3 = sK5
    & sK4 = sK6 ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK3,sK4,sK5,sK6]),skolemize(X0,sK3),skolemize(X1,sK4),skolemize(X2,sK5),skolemize(X3,sK6)],[f131]) ).

fof(f140,plain,
    ! [X0] :
      ( ~ ssList(X0)
      | ! [X1] :
          ( ~ ssList(X1)
          | ( ( ~ neq(X0,X1)
              | X0 != X1 )
            & ( X0 = X1
              | neq(X0,X1) ) ) ) ),
    inference(nnf_transformation,[],[f118]) ).

fof(f143,plain,
    ! [X0] :
      ( ~ ssList(X0)
      | ! [X1] :
          ( ~ ssList(X1)
          | ( ( ~ rearsegP(X0,X1)
              | ? [X2] :
                  ( app(X2,X1) = X0
                  & ssList(X2) ) )
            & ( ! [X2] :
                  ( app(X2,X1) != X0
                  | ~ ssList(X2) )
              | rearsegP(X0,X1) ) ) ) ),
    inference(nnf_transformation,[],[f129]) ).

fof(f144,plain,
    ! [X0] :
      ( ~ ssList(X0)
      | ! [X1] :
          ( ~ ssList(X1)
          | ( ( ~ rearsegP(X0,X1)
              | ? [X3] :
                  ( app(X3,X1) = X0
                  & ssList(X3) ) )
            & ( ! [X2] :
                  ( app(X2,X1) != X0
                  | ~ ssList(X2) )
              | rearsegP(X0,X1) ) ) ) ),
    inference(rectify,[],[f143]) ).

fof(f145,plain,
    ! [X0] :
      ( ~ ssList(X0)
      | ! [X1] :
          ( ~ ssList(X1)
          | ( ( ~ rearsegP(X0,X1)
              | ( app(sK11(X0,X1),X1) = X0
                & ssList(sK11(X0,X1)) ) )
            & ( ! [X2] :
                  ( app(X2,X1) != X0
                  | ~ ssList(X2) )
              | rearsegP(X0,X1) ) ) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK11]),skolemize(X3,sK11(X0,X1))],[f144]) ).

fof(f152,plain,
    ssList(sK3),
    inference(cnf_transformation,[],[f135]) ).

fof(f156,plain,
    ( ~ neq(sK6,nil)
    | sP0(sK4,sK5,sK6,sK3) ),
    inference(cnf_transformation,[],[f135]) ).

fof(f157,plain,
    ( neq(sK4,nil)
    | sP0(sK4,sK5,sK6,sK3) ),
    inference(cnf_transformation,[],[f135]) ).

fof(f158,plain,
    sK3 = sK5,
    inference(cnf_transformation,[],[f135]) ).

fof(f159,plain,
    sK4 = sK6,
    inference(cnf_transformation,[],[f135]) ).

fof(f171,plain,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | ~ ssItem(X1)
      | cons(X1,X0) != X0 ),
    inference(cnf_transformation,[],[f107]) ).

fof(f181,plain,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | ssList(app(X0,X1)) ),
    inference(cnf_transformation,[],[f117]) ).

fof(f183,plain,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | X0 = X1
      | neq(X0,X1) ),
    inference(cnf_transformation,[],[f140]) ).

fof(f186,plain,
    ssList(nil),
    inference(cnf_transformation,[],[f17]) ).

fof(f196,plain,
    ! [X2,X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | app(X2,X1) != X0
      | ~ ssList(X2)
      | rearsegP(X0,X1) ),
    inference(cnf_transformation,[],[f145]) ).

fof(f197,plain,
    ( neq(sK6,nil)
    | sP0(sK6,sK5,sK6,sK5) ),
    inference(definition_unfolding,[],[f157,f159,f158,f159]) ).

fof(f198,plain,
    ( ~ neq(sK6,nil)
    | sP0(sK6,sK5,sK6,sK5) ),
    inference(definition_unfolding,[],[f156,f159,f158]) ).

fof(f200,plain,
    ssList(sK5),
    inference(definition_unfolding,[],[f152,f158]) ).

fof(f206,plain,
    ! [X2,X1] :
      ( ~ ssList(app(X2,X1))
      | ~ ssList(X1)
      | ~ ssList(X2)
      | rearsegP(app(X2,X1),X1) ),
    inference(equality_resolution,[],[f196]) ).

tcf(c_55,negated_conjecture,
    ( neq(sK6,nil)
    | sP0(sK6,sK5,sK6,sK5) ),
    inference(cnf_transformation,[],[f197]) ).

tcf(c_56,negated_conjecture,
    ( sP0(sK6,sK5,sK6,sK5)
    | ~ neq(sK6,nil) ),
    inference(cnf_transformation,[],[f198]) ).

tcf(c_60,negated_conjecture,
    ssList(sK5),
    inference(cnf_transformation,[],[f200]) ).

tcf(c_72,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ssItem(X0)
      | ~ ssList(X1)
      | ( cons(X0,X1) != X1 ) ),
    inference(cnf_transformation,[],[f171]) ).

tcf(c_82,plain,
    ! [X0: $i,X1: $i] :
      ( ssList(app(X0,X1))
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f181]) ).

tcf(c_83,plain,
    ! [X0: $i,X1: $i] :
      ( neq(X0,X1)
      | ( X0 = X1 )
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f183]) ).

tcf(c_87,plain,
    ssList(nil),
    inference(cnf_transformation,[],[f186]) ).

tcf(c_95,plain,
    ! [X0: $i,X1: $i] :
      ( rearsegP(app(X0,X1),X1)
      | ~ ssList(X1)
      | ~ ssList(X0)
      | ~ ssList(app(X0,X1)) ),
    inference(cnf_transformation,[],[f206]) ).

tcf(c_129,negated_conjecture,
    sP0(sK6,sK5,sK6,sK5),
    inference(global_subsumption_just,[status(thm)],[c_55,c_55,c_56]) ).

tcf(c_131,negated_conjecture,
    sP0(sK6,sK5,sK6,sK5),
    inference(global_subsumption_just,[status(thm)],[c_56,c_129]) ).

tcf(c_135,plain,
    ! [X0: $i,X1: $i] :
      ( rearsegP(app(X0,X1),X1)
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_95,c_82,c_95]) ).

fof(f130,definition,
    ! [X1,X2,X3,X0] :
      ( ~ sP0(X1,X2,X3,X0)
      | ( ( ~ rearsegP(X1,X0)
          | ~ neq(X0,nil) )
        & ? [X4] :
            ( ssItem(X4)
            & ? [X5] :
                ( ssList(X5)
                & app(X5,cons(X4,nil)) = X3
                & cons(X4,nil) = X2 ) )
        & neq(X1,nil) ) ),
    introduced(definition,[new_symbols(definition,[sP0])],[predicate_definition_introduction]) ).

fof(f131,plain,
    ? [X0] :
      ( ssList(X0)
      & ? [X1] :
          ( ssList(X1)
          & ? [X2] :
              ( ssList(X2)
              & ? [X3] :
                  ( ssList(X3)
                  & ( ( ~ neq(X3,nil)
                      & neq(X1,nil) )
                    | sP0(X1,X2,X3,X0) )
                  & X0 = X2
                  & X1 = X3 ) ) ) ),
    inference(definition_folding,[],[f99,f130]) ).

fof(f132,plain,
    ! [X1,X2,X3,X0] :
      ( ~ sP0(X1,X2,X3,X0)
      | ( ( ~ rearsegP(X1,X0)
          | ~ neq(X0,nil) )
        & ? [X4] :
            ( ssItem(X4)
            & ? [X5] :
                ( ssList(X5)
                & app(X5,cons(X4,nil)) = X3
                & cons(X4,nil) = X2 ) )
        & neq(X1,nil) ) ),
    inference(nnf_transformation,[],[f130]) ).

fof(f133,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sP0(X0,X1,X2,X3)
      | ( ( ~ rearsegP(X0,X3)
          | ~ neq(X3,nil) )
        & ? [X4] :
            ( ssItem(X4)
            & ? [X5] :
                ( ssList(X5)
                & app(X5,cons(X4,nil)) = X2
                & cons(X4,nil) = X1 ) )
        & neq(X0,nil) ) ),
    inference(rectify,[],[f132]) ).

fof(f134,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sP0(X0,X1,X2,X3)
      | ( ( ~ rearsegP(X0,X3)
          | ~ neq(X3,nil) )
        & ssItem(sK1(X1,X2))
        & ssList(sK2(X1,X2))
        & app(sK2(X1,X2),cons(sK1(X1,X2),nil)) = X2
        & cons(sK1(X1,X2),nil) = X1
        & neq(X0,nil) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK1,sK2]),skolemize(X4,sK1(X1,X2)),skolemize(X5,sK2(X1,X2))],[f133]) ).

fof(f146,plain,
    ! [X2,X3,X0,X1] :
      ( ~ sP0(X0,X1,X2,X3)
      | ~ rearsegP(X0,X3)
      | ~ neq(X3,nil) ),
    inference(cnf_transformation,[],[f134]) ).

fof(f147,plain,
    ! [X2,X3,X0,X1] :
      ( ~ sP0(X0,X1,X2,X3)
      | ssItem(sK1(X1,X2)) ),
    inference(cnf_transformation,[],[f134]) ).

fof(f148,plain,
    ! [X2,X3,X0,X1] :
      ( ~ sP0(X0,X1,X2,X3)
      | ssList(sK2(X1,X2)) ),
    inference(cnf_transformation,[],[f134]) ).

fof(f149,plain,
    ! [X2,X3,X0,X1] :
      ( ~ sP0(X0,X1,X2,X3)
      | app(sK2(X1,X2),cons(sK1(X1,X2),nil)) = X2 ),
    inference(cnf_transformation,[],[f134]) ).

fof(f150,plain,
    ! [X2,X3,X0,X1] :
      ( ~ sP0(X0,X1,X2,X3)
      | cons(sK1(X1,X2),nil) = X1 ),
    inference(cnf_transformation,[],[f134]) ).

tcf(c_50,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( cons(sK1(X1,X2),nil) = X1 )
      | ~ sP0(X0,X1,X2,X3) ),
    inference(cnf_transformation,[],[f150]) ).

tcf(c_51,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( app(sK2(X1,X2),cons(sK1(X1,X2),nil)) = X2 )
      | ~ sP0(X0,X1,X2,X3) ),
    inference(cnf_transformation,[],[f149]) ).

tcf(c_52,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ssList(sK2(X1,X2))
      | ~ sP0(X0,X1,X2,X3) ),
    inference(cnf_transformation,[],[f148]) ).

tcf(c_53,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ssItem(sK1(X1,X2))
      | ~ sP0(X0,X1,X2,X3) ),
    inference(cnf_transformation,[],[f147]) ).

tcf(c_54,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ~ neq(X3,nil)
      | ~ rearsegP(X0,X3)
      | ~ sP0(X0,X1,X2,X3) ),
    inference(cnf_transformation,[],[f146]) ).

tcf(c_664,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ~ neq(X3,nil)
      | ~ rearsegP(X0,X3)
      | ( X3 != sK5 )
      | ( X2 != sK6 )
      | ( X1 != sK5 )
      | ( X0 != sK6 ) ),
    inference(resolution_lifted,[status(thm)],[c_54,c_131]) ).

tcf(c_665,plain,
    ( ~ rearsegP(sK6,sK5)
    | ~ neq(sK5,nil) ),
    inference(unflattening,[status(thm)],[c_664]) ).

tcf(c_672,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ssItem(sK1(X1,X2))
      | ( X3 != sK5 )
      | ( X2 != sK6 )
      | ( X1 != sK5 )
      | ( X0 != sK6 ) ),
    inference(resolution_lifted,[status(thm)],[c_53,c_131]) ).

tcf(c_673,plain,
    ssItem(sK1(sK5,sK6)),
    inference(unflattening,[status(thm)],[c_672]) ).

tcf(c_677,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ssList(sK2(X1,X2))
      | ( X3 != sK5 )
      | ( X2 != sK6 )
      | ( X1 != sK5 )
      | ( X0 != sK6 ) ),
    inference(resolution_lifted,[status(thm)],[c_52,c_131]) ).

tcf(c_678,plain,
    ssList(sK2(sK5,sK6)),
    inference(unflattening,[status(thm)],[c_677]) ).

tcf(c_682,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( app(sK2(X1,X2),cons(sK1(X1,X2),nil)) = X2 )
      | ( X3 != sK5 )
      | ( X2 != sK6 )
      | ( X1 != sK5 )
      | ( X0 != sK6 ) ),
    inference(resolution_lifted,[status(thm)],[c_51,c_131]) ).

tcf(c_683,plain,
    app(sK2(sK5,sK6),cons(sK1(sK5,sK6),nil)) = sK6,
    inference(unflattening,[status(thm)],[c_682]) ).

tcf(c_687,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( cons(sK1(X1,X2),nil) = X1 )
      | ( X3 != sK5 )
      | ( X2 != sK6 )
      | ( X1 != sK5 )
      | ( X0 != sK6 ) ),
    inference(resolution_lifted,[status(thm)],[c_50,c_131]) ).

tcf(c_688,plain,
    cons(sK1(sK5,sK6),nil) = sK5,
    inference(unflattening,[status(thm)],[c_687]) ).

tcf(c_750,plain,
    ! [X0: $i,X1: $i] :
      ( ( X0 = X1 )
      | ~ ssList(X1)
      | ~ ssList(X0)
      | ~ rearsegP(sK6,sK5)
      | ( X1 != nil )
      | ( X0 != sK5 ) ),
    inference(resolution_lifted,[status(thm)],[c_83,c_665]) ).

tcf(c_751,plain,
    ( ( sK5 = nil )
    | ~ ssList(sK5)
    | ~ ssList(nil)
    | ~ rearsegP(sK6,sK5) ),
    inference(unflattening,[status(thm)],[c_750]) ).

tcf(c_752,plain,
    ( ( sK5 = nil )
    | ~ rearsegP(sK6,sK5) ),
    inference(global_subsumption_just,[status(thm)],[c_751,c_60,c_87,c_751]) ).

tcf(c_1057,plain,
    app(sK2(sK5,sK6),sK5) = sK6,
    inference(light_normalisation,[status(thm)],[c_683,c_688]) ).

tcf(c_1936,plain,
    ( rearsegP(sK6,sK5)
    | ~ ssList(sK5)
    | ~ ssList(sK2(sK5,sK6)) ),
    inference(superposition,[status(thm)],[c_1057,c_135]) ).

tcf(c_1947,plain,
    rearsegP(sK6,sK5),
    inference(forward_subsumption_resolution,[status(thm)],[c_1936,c_60,c_678]) ).

tcf(c_1950,plain,
    nil = sK5,
    inference(backward_subsumption_resolution,[status(thm)],[c_752,c_1947]) ).

tcf(c_1957,plain,
    cons(sK1(nil,sK6),nil) = nil,
    inference(demodulation,[status(thm)],[c_688,c_1950]) ).

tcf(c_1959,plain,
    ssItem(sK1(nil,sK6)),
    inference(demodulation,[status(thm)],[c_673,c_1950]) ).

tcf(c_2047,plain,
    ( ~ ssList(nil)
    | ~ ssItem(sK1(nil,sK6)) ),
    inference(superposition,[status(thm)],[c_1957,c_72]) ).

tcf(c_2049,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[c_2047,c_87,c_1959]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : SWC106+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04  % Command  : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.10/0.37  % Computer : n013.cluster.edu
% 0.10/0.37  % Model    : x86_64 x86_64
% 0.10/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37  % Memory   : 8046.5625MB
% 0.10/0.37  % OS       : Linux 6.8.0-71-generic
% 0.10/0.37  % CPULimit : 300
% 0.10/0.37  % WCLimit  : 300
% 0.10/0.37  % DateTime : Thu Sep 24 16:24:36 UTC 2026
% 0.10/0.37  % CPUTime  : 
% 0.10/0.37  Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.10/0.40  Running first-order theorem proving
% 0.10/0.40  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
% 0.10/0.42  
% 0.10/0.42  % ======== iProver multi-core TPTP/SMT =========
% 0.10/0.42  
% 0.10/0.42  % Detected problem language: tptp
% 0.10/0.43  % Proving...
% 3.61/1.09  % SZS status Started for theBenchmark.p
% 3.61/1.09  % SZS status Theorem for theBenchmark.p
% 3.61/1.09  
% 3.61/1.09  %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 3.61/1.09  
% 3.61/1.09  % ------  iProver source info
% 3.61/1.09  
% 3.61/1.09  % git: date: 2026-07-19 20:42:38 +0200
% 3.61/1.09  % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 3.61/1.09  % git: non_committed_changes: false
% 3.61/1.09  
% 3.61/1.09  % ------ Parsing...
% 3.61/1.09  % ------ Clausification by vclausify_rel  & Parsing by iProver...% 
% 3.61/1.09  
% 3.61/1.09  % ------ Preprocessing... sup_sim: 0  sf_s  rm: 1 0s  sf_e  pe_s  pe:1:0s pe:2:0s pe_e  sup_sim: 1  sf_s  rm: 3 0s  sf_e  pe_s  pe_e % 
% 3.61/1.09  
% 3.61/1.09  % ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e % 
% 3.61/1.09  
% 3.61/1.09  % ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 3.61/1.09  % ------ Proving...
% 3.61/1.09  % ------ Problem Properties 
% 3.61/1.09  
% 3.61/1.09  % 
% 3.61/1.09  % clauses                               42
% 3.61/1.09  % conjectures                           2
% 3.61/1.09  % EPR                                   15
% 3.61/1.09  % Horn                                  39
% 3.61/1.09  % unary                                 13
% 3.61/1.09  % binary                                6
% 3.61/1.09  % lits                                  117
% 3.61/1.09  % lits eq                               33
% 3.61/1.09  % fd_pure                               0
% 3.61/1.09  % fd_pseudo                             0
% 3.61/1.09  % fd_cond                               5
% 3.61/1.09  % fd_pseudo_cond                        5
% 3.61/1.09  % AC symbols                            0
% 3.61/1.09  
% 3.61/1.09  % ------ Schedule dynamic 5 is on 
% 3.61/1.09  
% 3.61/1.09  % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 3.61/1.09  
% 3.61/1.09  
% 3.61/1.09  % ------ 
% 3.61/1.09  % Current options:
% 3.61/1.09  % ------ 
% 3.61/1.09  
% 3.61/1.09  
% 3.61/1.09  % 
% 3.61/1.09  
% 3.61/1.09  % ------ Proving...
% 3.61/1.09  % 
% 3.61/1.09  
% 3.61/1.09  % SZS status Theorem for theBenchmark.p
% 3.61/1.09  
% 3.61/1.09  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.61/1.09  
% 3.61/1.09  
%------------------------------------------------------------------------------