CSE_E---1.7.THM-CRf.s

%------------------------------------------------------------------------------
% File     : CSE_E---1.7
% Problem  : SWC420+1 : TPTP v9.2.1. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d

% Computer : n005.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Tue May  5 05:19:36 PM UTC 2026

% Result   : Theorem 199.86s 142.35s
% Output   : CNFRefutation 211.46s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named i_0_2273)

% Comments : 
%------------------------------------------------------------------------------
fof(co1,conjecture,
    ! [X1] :
      ( ssList(X1)
     => ! [X2] :
          ( ssList(X2)
         => ! [X3] :
              ( ssList(X3)
             => ! [X4] :
                  ( ~ ssList(X4)
                  | X2 != X4
                  | X1 != X3
                  | ~ neq(X2,nil)
                  | ? [X5] :
                      ( ssItem(X5)
                      & ? [X6] :
                          ( ssList(X6)
                          & ? [X7] :
                              ( ssList(X7)
                              & app(app(X6,cons(X5,nil)),X7) = X2
                              & app(app(X7,cons(X5,nil)),X6) = X1 ) ) )
                  | ? [X8] :
                      ( ssItem(X8)
                      & ? [X9] :
                          ( ssList(X9)
                          & app(X9,cons(X8,nil)) != X3
                          & app(cons(X8,nil),X9) = X4 ) )
                  | ( nil != X3
                    & nil = X4 ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).

fof(ax94,axiom,
    ! [X1] :
      ( ssItem(X1)
     => ! [X2] :
          ( ssItem(X2)
         => ( gt(X1,X2)
           => ~ gt(X2,X1) ) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax94) ).

fof(ax33,axiom,
    ! [X1] :
      ( ssItem(X1)
     => ! [X2] :
          ( ssItem(X2)
         => ( lt(X1,X2)
           => ~ lt(X2,X1) ) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax33) ).

fof(ax90,axiom,
    ! [X1] :
      ( ssItem(X1)
     => ~ lt(X1,X1) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax90) ).

fof(ax38,axiom,
    ! [X1] :
      ( ssItem(X1)
     => ~ memberP(nil,X1) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax38) ).

fof(ax8,axiom,
    ! [X1] :
      ( ssList(X1)
     => ( cyclefreeP(X1)
      <=> ! [X2] :
            ( ssItem(X2)
           => ! [X3] :
                ( ssItem(X3)
               => ! [X4] :
                    ( ssList(X4)
                   => ! [X5] :
                        ( ssList(X5)
                       => ! [X6] :
                            ( ssList(X6)
                           => ( app(app(X4,cons(X2,X5)),cons(X3,X6)) = X1
                             => ~ ( leq(X2,X3)
                                  & leq(X3,X2) ) ) ) ) ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax8) ).

fof(ax10,axiom,
    ! [X1] :
      ( ssList(X1)
     => ( strictorderP(X1)
      <=> ! [X2] :
            ( ssItem(X2)
           => ! [X3] :
                ( ssItem(X3)
               => ! [X4] :
                    ( ssList(X4)
                   => ! [X5] :
                        ( ssList(X5)
                       => ! [X6] :
                            ( ssList(X6)
                           => ( app(app(X4,cons(X2,X5)),cons(X3,X6)) = X1
                             => ( lt(X2,X3)
                                | lt(X3,X2) ) ) ) ) ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax10) ).

fof(ax9,axiom,
    ! [X1] :
      ( ssList(X1)
     => ( totalorderP(X1)
      <=> ! [X2] :
            ( ssItem(X2)
           => ! [X3] :
                ( ssItem(X3)
               => ! [X4] :
                    ( ssList(X4)
                   => ! [X5] :
                        ( ssList(X5)
                       => ! [X6] :
                            ( ssList(X6)
                           => ( app(app(X4,cons(X2,X5)),cons(X3,X6)) = X1
                             => ( leq(X2,X3)
                                | leq(X3,X2) ) ) ) ) ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax9) ).

fof(ax12,axiom,
    ! [X1] :
      ( ssList(X1)
     => ( strictorderedP(X1)
      <=> ! [X2] :
            ( ssItem(X2)
           => ! [X3] :
                ( ssItem(X3)
               => ! [X4] :
                    ( ssList(X4)
                   => ! [X5] :
                        ( ssList(X5)
                       => ! [X6] :
                            ( ssList(X6)
                           => ( app(app(X4,cons(X2,X5)),cons(X3,X6)) = X1
                             => lt(X2,X3) ) ) ) ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax12) ).

fof(ax11,axiom,
    ! [X1] :
      ( ssList(X1)
     => ( totalorderedP(X1)
      <=> ! [X2] :
            ( ssItem(X2)
           => ! [X3] :
                ( ssItem(X3)
               => ! [X4] :
                    ( ssList(X4)
                   => ! [X5] :
                        ( ssList(X5)
                       => ! [X6] :
                            ( ssList(X6)
                           => ( app(app(X4,cons(X2,X5)),cons(X3,X6)) = X1
                             => leq(X2,X3) ) ) ) ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax11) ).

fof(ax13,axiom,
    ! [X1] :
      ( ssList(X1)
     => ( duplicatefreeP(X1)
      <=> ! [X2] :
            ( ssItem(X2)
           => ! [X3] :
                ( ssItem(X3)
               => ! [X4] :
                    ( ssList(X4)
                   => ! [X5] :
                        ( ssList(X5)
                       => ! [X6] :
                            ( ssList(X6)
                           => ( app(app(X4,cons(X2,X5)),cons(X3,X6)) = X1
                             => X2 != X3 ) ) ) ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax13) ).

fof(ax14,axiom,
    ! [X1] :
      ( ssList(X1)
     => ( equalelemsP(X1)
      <=> ! [X2] :
            ( ssItem(X2)
           => ! [X3] :
                ( ssItem(X3)
               => ! [X4] :
                    ( ssList(X4)
                   => ! [X5] :
                        ( ssList(X5)
                       => ( app(X4,cons(X2,cons(X3,X5))) = X1
                         => X2 = X3 ) ) ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax14) ).

fof(ax7,axiom,
    ! [X1] :
      ( ssList(X1)
     => ! [X2] :
          ( ssList(X2)
         => ( segmentP(X1,X2)
          <=> ? [X3] :
                ( ssList(X3)
                & ? [X4] :
                    ( ssList(X4)
                    & app(app(X3,X2),X4) = X1 ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax7) ).

fof(ax3,axiom,
    ! [X1] :
      ( ssList(X1)
     => ! [X2] :
          ( ssItem(X2)
         => ( memberP(X1,X2)
          <=> ? [X3] :
                ( ssList(X3)
                & ? [X4] :
                    ( ssList(X4)
                    & app(X3,cons(X2,X4)) = X1 ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax3) ).

fof(ax44,axiom,
    ! [X1] :
      ( ssItem(X1)
     => ! [X2] :
          ( ssItem(X2)
         => ! [X3] :
              ( ssList(X3)
             => ! [X4] :
                  ( ssList(X4)
                 => ( frontsegP(cons(X1,X3),cons(X2,X4))
                  <=> ( X1 = X2
                      & frontsegP(X3,X4) ) ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax44) ).

fof(ax56,axiom,
    ! [X1] :
      ( ssList(X1)
     => ! [X2] :
          ( ssList(X2)
         => ! [X3] :
              ( ssList(X3)
             => ! [X4] :
                  ( ssList(X4)
                 => ( segmentP(X1,X2)
                   => segmentP(app(app(X3,X1),X4),X2) ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax56) ).

fof(ax36,axiom,
    ! [X1] :
      ( ssItem(X1)
     => ! [X2] :
          ( ssList(X2)
         => ! [X3] :
              ( ssList(X3)
             => ( memberP(app(X2,X3),X1)
              <=> ( memberP(X2,X1)
                  | memberP(X3,X1) ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax36) ).

fof(ax37,axiom,
    ! [X1] :
      ( ssItem(X1)
     => ! [X2] :
          ( ssItem(X2)
         => ! [X3] :
              ( ssList(X3)
             => ( memberP(cons(X2,X3),X1)
              <=> ( X1 = X2
                  | memberP(X3,X1) ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax37) ).

fof(ax82,axiom,
    ! [X1] :
      ( ssList(X1)
     => ! [X2] :
          ( ssList(X2)
         => ! [X3] :
              ( ssList(X3)
             => app(app(X1,X2),X3) = app(X1,app(X2,X3)) ) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax82) ).

fof(ax27,axiom,
    ! [X1] :
      ( ssList(X1)
     => ! [X2] :
          ( ssList(X2)
         => ! [X3] :
              ( ssItem(X3)
             => cons(X3,app(X2,X1)) = app(cons(X3,X2),X1) ) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax27) ).

fof(ax70,axiom,
    ! [X1] :
      ( ssItem(X1)
     => ! [X2] :
          ( ssList(X2)
         => ( strictorderedP(cons(X1,X2))
          <=> ( nil = X2
              | ( nil != X2
                & strictorderedP(X2)
                & lt(X1,hd(X2)) ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax70) ).

fof(ax67,axiom,
    ! [X1] :
      ( ssItem(X1)
     => ! [X2] :
          ( ssList(X2)
         => ( totalorderedP(cons(X1,X2))
          <=> ( nil = X2
              | ( nil != X2
                & totalorderedP(X2)
                & leq(X1,hd(X2)) ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax67) ).

fof(ax50,axiom,
    ! [X1] :
      ( ssList(X1)
     => ! [X2] :
          ( ssList(X2)
         => ! [X3] :
              ( ssList(X3)
             => ( rearsegP(X1,X2)
               => rearsegP(app(X3,X1),X2) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax50) ).

fof(ax43,axiom,
    ! [X1] :
      ( ssList(X1)
     => ! [X2] :
          ( ssList(X2)
         => ! [X3] :
              ( ssList(X3)
             => ( frontsegP(X1,X2)
               => frontsegP(app(X1,X3),X2) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax43) ).

fof(ax95,axiom,
    ! [X1] :
      ( ssItem(X1)
     => ! [X2] :
          ( ssItem(X2)
         => ! [X3] :
              ( ssItem(X3)
             => ( ( gt(X1,X2)
                  & gt(X2,X3) )
               => gt(X1,X3) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax95) ).

fof(ax88,axiom,
    ! [X1] :
      ( ssItem(X1)
     => ! [X2] :
          ( ssItem(X2)
         => ! [X3] :
              ( ssItem(X3)
             => ( ( geq(X1,X2)
                  & geq(X2,X3) )
               => geq(X1,X3) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax88) ).

fof(ax34,axiom,
    ! [X1] :
      ( ssItem(X1)
     => ! [X2] :
          ( ssItem(X2)
         => ! [X3] :
              ( ssItem(X3)
             => ( ( lt(X1,X2)
                  & lt(X2,X3) )
               => lt(X1,X3) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax34) ).

fof(ax91,axiom,
    ! [X1] :
      ( ssItem(X1)
     => ! [X2] :
          ( ssItem(X2)
         => ! [X3] :
              ( ssItem(X3)
             => ( ( leq(X1,X2)
                  & lt(X2,X3) )
               => lt(X1,X3) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax91) ).

fof(ax30,axiom,
    ! [X1] :
      ( ssItem(X1)
     => ! [X2] :
          ( ssItem(X2)
         => ! [X3] :
              ( ssItem(X3)
             => ( ( leq(X1,X2)
                  & leq(X2,X3) )
               => leq(X1,X3) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax30) ).

fof(ax53,axiom,
    ! [X1] :
      ( ssList(X1)
     => ! [X2] :
          ( ssList(X2)
         => ! [X3] :
              ( ssList(X3)
             => ( ( segmentP(X1,X2)
                  & segmentP(X2,X3) )
               => segmentP(X1,X3) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax53) ).

fof(ax47,axiom,
    ! [X1] :
      ( ssList(X1)
     => ! [X2] :
          ( ssList(X2)
         => ! [X3] :
              ( ssList(X3)
             => ( ( rearsegP(X1,X2)
                  & rearsegP(X2,X3) )
               => rearsegP(X1,X3) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax47) ).

fof(ax40,axiom,
    ! [X1] :
      ( ssList(X1)
     => ! [X2] :
          ( ssList(X2)
         => ! [X3] :
              ( ssList(X3)
             => ( ( frontsegP(X1,X2)
                  & frontsegP(X2,X3) )
               => frontsegP(X1,X3) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax40) ).

fof(ax6,axiom,
    ! [X1] :
      ( ssList(X1)
     => ! [X2] :
          ( ssList(X2)
         => ( rearsegP(X1,X2)
          <=> ? [X3] :
                ( ssList(X3)
                & app(X3,X2) = X1 ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax6) ).

fof(ax5,axiom,
    ! [X1] :
      ( ssList(X1)
     => ! [X2] :
          ( ssList(X2)
         => ( frontsegP(X1,X2)
          <=> ? [X3] :
                ( ssList(X3)
                & app(X2,X3) = X1 ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax5) ).

fof(ax19,axiom,
    ! [X1] :
      ( ssList(X1)
     => ! [X2] :
          ( ssList(X2)
         => ! [X3] :
              ( ssItem(X3)
             => ! [X4] :
                  ( ssItem(X4)
                 => ( cons(X3,X1) = cons(X4,X2)
                   => ( X3 = X4
                      & X2 = X1 ) ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax19) ).

fof(ax79,axiom,
    ! [X1] :
      ( ssList(X1)
     => ! [X2] :
          ( ssList(X2)
         => ! [X3] :
              ( ssList(X3)
             => ( app(X3,X2) = app(X1,X2)
               => X3 = X1 ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax79) ).

fof(ax80,axiom,
    ! [X1] :
      ( ssList(X1)
     => ! [X2] :
          ( ssList(X2)
         => ! [X3] :
              ( ssList(X3)
             => ( app(X2,X3) = app(X2,X1)
               => X3 = X1 ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax80) ).

fof(ax86,axiom,
    ! [X1] :
      ( ssList(X1)
     => ! [X2] :
          ( ssList(X2)
         => ( nil != X1
           => tl(app(X1,X2)) = app(tl(X1),X2) ) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax86) ).

fof(ax81,axiom,
    ! [X1] :
      ( ssList(X1)
     => ! [X2] :
          ( ssItem(X2)
         => cons(X2,X1) = app(cons(X2,nil),X1) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax81) ).

fof(ax54,axiom,
    ! [X1] :
      ( ssList(X1)
     => ! [X2] :
          ( ssList(X2)
         => ( ( segmentP(X1,X2)
              & segmentP(X2,X1) )
           => X1 = X2 ) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax54) ).

fof(ax48,axiom,
    ! [X1] :
      ( ssList(X1)
     => ! [X2] :
          ( ssList(X2)
         => ( ( rearsegP(X1,X2)
              & rearsegP(X2,X1) )
           => X1 = X2 ) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax48) ).

fof(ax41,axiom,
    ! [X1] :
      ( ssList(X1)
     => ! [X2] :
          ( ssList(X2)
         => ( ( frontsegP(X1,X2)
              & frontsegP(X2,X1) )
           => X1 = X2 ) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax41) ).

fof(ax87,axiom,
    ! [X1] :
      ( ssItem(X1)
     => ! [X2] :
          ( ssItem(X2)
         => ( ( geq(X1,X2)
              & geq(X2,X1) )
           => X1 = X2 ) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax87) ).

fof(ax29,axiom,
    ! [X1] :
      ( ssItem(X1)
     => ! [X2] :
          ( ssItem(X2)
         => ( ( leq(X1,X2)
              & leq(X2,X1) )
           => X1 = X2 ) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax29) ).

fof(ax93,axiom,
    ! [X1] :
      ( ssItem(X1)
     => ! [X2] :
          ( ssItem(X2)
         => ( lt(X1,X2)
          <=> ( X1 != X2
              & leq(X1,X2) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax93) ).

fof(ax92,axiom,
    ! [X1] :
      ( ssItem(X1)
     => ! [X2] :
          ( ssItem(X2)
         => ( leq(X1,X2)
           => ( X1 = X2
              | lt(X1,X2) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax92) ).

fof(ax35,axiom,
    ! [X1] :
      ( ssItem(X1)
     => ! [X2] :
          ( ssItem(X2)
         => ( gt(X1,X2)
          <=> lt(X2,X1) ) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax35) ).

fof(ax32,axiom,
    ! [X1] :
      ( ssItem(X1)
     => ! [X2] :
          ( ssItem(X2)
         => ( geq(X1,X2)
          <=> leq(X2,X1) ) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax32) ).

fof(ax85,axiom,
    ! [X1] :
      ( ssList(X1)
     => ! [X2] :
          ( ssList(X2)
         => ( nil != X1
           => hd(app(X1,X2)) = hd(X1) ) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax85) ).

fof(ax77,axiom,
    ! [X1] :
      ( ssList(X1)
     => ! [X2] :
          ( ssList(X2)
         => ( ( nil != X2
              & nil != X1
              & hd(X2) = hd(X1)
              & tl(X2) = tl(X1) )
           => X2 = X1 ) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax77) ).

fof(ax25,axiom,
    ! [X1] :
      ( ssList(X1)
     => ! [X2] :
          ( ssItem(X2)
         => tl(cons(X2,X1)) = X1 ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax25) ).

fof(ax23,axiom,
    ! [X1] :
      ( ssList(X1)
     => ! [X2] :
          ( ssItem(X2)
         => hd(cons(X2,X1)) = X2 ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax23) ).

fof(ax26,axiom,
    ! [X1] :
      ( ssList(X1)
     => ! [X2] :
          ( ssList(X2)
         => ssList(app(X1,X2)) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax26) ).

fof(ax16,axiom,
    ! [X1] :
      ( ssList(X1)
     => ! [X2] :
          ( ssItem(X2)
         => ssList(cons(X2,X1)) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax16) ).

fof(ax15,axiom,
    ! [X1] :
      ( ssList(X1)
     => ! [X2] :
          ( ssList(X2)
         => ( neq(X1,X2)
          <=> X1 != X2 ) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax15) ).

fof(ax1,axiom,
    ! [X1] :
      ( ssItem(X1)
     => ! [X2] :
          ( ssItem(X2)
         => ( neq(X1,X2)
          <=> X1 != X2 ) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax1) ).

fof(ax4,axiom,
    ! [X1] :
      ( ssList(X1)
     => ( singletonP(X1)
      <=> ? [X2] :
            ( ssItem(X2)
            & cons(X2,nil) = X1 ) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax4) ).

fof(ax83,axiom,
    ! [X1] :
      ( ssList(X1)
     => ! [X2] :
          ( ssList(X2)
         => ( nil = app(X1,X2)
          <=> ( nil = X2
              & nil = X1 ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax83) ).

fof(ax18,axiom,
    ! [X1] :
      ( ssList(X1)
     => ! [X2] :
          ( ssItem(X2)
         => cons(X2,X1) != X1 ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax18) ).

fof(ax21,axiom,
    ! [X1] :
      ( ssList(X1)
     => ! [X2] :
          ( ssItem(X2)
         => nil != cons(X2,X1) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax21) ).

fof(ax20,axiom,
    ! [X1] :
      ( ssList(X1)
     => ( nil = X1
        | ? [X2] :
            ( ssList(X2)
            & ? [X3] :
                ( ssItem(X3)
                & cons(X3,X2) = X1 ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax20) ).

fof(ax78,axiom,
    ! [X1] :
      ( ssList(X1)
     => ( nil != X1
       => cons(hd(X1),tl(X1)) = X1 ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax78) ).

fof(ax73,axiom,
    ! [X1] :
      ( ssItem(X1)
     => equalelemsP(cons(X1,nil)) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax73) ).

fof(ax71,axiom,
    ! [X1] :
      ( ssItem(X1)
     => duplicatefreeP(cons(X1,nil)) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax71) ).

fof(ax68,axiom,
    ! [X1] :
      ( ssItem(X1)
     => strictorderedP(cons(X1,nil)) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax68) ).

fof(ax65,axiom,
    ! [X1] :
      ( ssItem(X1)
     => totalorderedP(cons(X1,nil)) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax65) ).

fof(ax63,axiom,
    ! [X1] :
      ( ssItem(X1)
     => strictorderP(cons(X1,nil)) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax63) ).

fof(ax61,axiom,
    ! [X1] :
      ( ssItem(X1)
     => totalorderP(cons(X1,nil)) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax61) ).

fof(ax59,axiom,
    ! [X1] :
      ( ssItem(X1)
     => cyclefreeP(cons(X1,nil)) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax59) ).

fof(ax58,axiom,
    ! [X1] :
      ( ssList(X1)
     => ( segmentP(nil,X1)
      <=> nil = X1 ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax58) ).

fof(ax52,axiom,
    ! [X1] :
      ( ssList(X1)
     => ( rearsegP(nil,X1)
      <=> nil = X1 ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax52) ).

fof(ax46,axiom,
    ! [X1] :
      ( ssList(X1)
     => ( frontsegP(nil,X1)
      <=> nil = X1 ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax46) ).

fof(ax89,axiom,
    ! [X1] :
      ( ssItem(X1)
     => geq(X1,X1) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax89) ).

fof(ax31,axiom,
    ! [X1] :
      ( ssItem(X1)
     => leq(X1,X1) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax31) ).

fof(ax55,axiom,
    ! [X1] :
      ( ssList(X1)
     => segmentP(X1,X1) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax55) ).

fof(ax49,axiom,
    ! [X1] :
      ( ssList(X1)
     => rearsegP(X1,X1) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax49) ).

fof(ax42,axiom,
    ! [X1] :
      ( ssList(X1)
     => frontsegP(X1,X1) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax42) ).

fof(ax28,axiom,
    ! [X1] :
      ( ssList(X1)
     => app(nil,X1) = X1 ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax28) ).

fof(ax84,axiom,
    ! [X1] :
      ( ssList(X1)
     => app(X1,nil) = X1 ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax84) ).

fof(ax57,axiom,
    ! [X1] :
      ( ssList(X1)
     => segmentP(X1,nil) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax57) ).

fof(ax51,axiom,
    ! [X1] :
      ( ssList(X1)
     => rearsegP(X1,nil) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax51) ).

fof(ax45,axiom,
    ! [X1] :
      ( ssList(X1)
     => frontsegP(X1,nil) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax45) ).

fof(ax76,axiom,
    ! [X1] :
      ( ssList(X1)
     => ( nil != X1
       => ? [X2] :
            ( ssList(X2)
            & tl(X1) = X2 ) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax76) ).

fof(ax24,axiom,
    ! [X1] :
      ( ssList(X1)
     => ( nil != X1
       => ssList(tl(X1)) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax24) ).

fof(ax75,axiom,
    ! [X1] :
      ( ssList(X1)
     => ( nil != X1
       => ? [X2] :
            ( ssItem(X2)
            & hd(X1) = X2 ) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax75) ).

fof(ax22,axiom,
    ! [X1] :
      ( ssList(X1)
     => ( nil != X1
       => ssItem(hd(X1)) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax22) ).

fof(ax39,axiom,
    ~ singletonP(nil),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax39) ).

fof(ax2,axiom,
    ? [X1] :
      ( ssItem(X1)
      & ? [X2] :
          ( ssItem(X2)
          & X1 != X2 ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax2) ).

fof(ax74,axiom,
    equalelemsP(nil),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax74) ).

fof(ax72,axiom,
    duplicatefreeP(nil),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax72) ).

fof(ax69,axiom,
    strictorderedP(nil),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax69) ).

fof(ax66,axiom,
    totalorderedP(nil),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax66) ).

fof(ax64,axiom,
    strictorderP(nil),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax64) ).

fof(ax62,axiom,
    totalorderP(nil),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax62) ).

fof(ax60,axiom,
    cyclefreeP(nil),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax60) ).

fof(ax17,axiom,
    ssList(nil),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax17) ).

fof(i_0_96,negated_conjecture,
    ~ ! [X1] :
        ( ssList(X1)
       => ! [X2] :
            ( ssList(X2)
           => ! [X3] :
                ( ssList(X3)
               => ! [X4] :
                    ( ~ ssList(X4)
                    | X2 != X4
                    | X1 != X3
                    | ~ neq(X2,nil)
                    | ? [X5] :
                        ( ssItem(X5)
                        & ? [X6] :
                            ( ssList(X6)
                            & ? [X7] :
                                ( ssList(X7)
                                & app(app(X6,cons(X5,nil)),X7) = X2
                                & app(app(X7,cons(X5,nil)),X6) = X1 ) ) )
                    | ? [X8] :
                        ( ssItem(X8)
                        & ? [X9] :
                            ( ssList(X9)
                            & app(X9,cons(X8,nil)) != X3
                            & app(cons(X8,nil),X9) = X4 ) )
                    | ( nil != X3
                      & nil = X4 ) ) ) ) ),
    inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[co1])]) ).

fof(i_0_97,plain,
    ! [X1] :
      ( ssItem(X1)
     => ! [X2] :
          ( ssItem(X2)
         => ( gt(X1,X2)
           => ~ gt(X2,X1) ) ) ),
    inference(fof_simplification,[status(thm)],[ax94]) ).

fof(i_0_98,plain,
    ! [X1] :
      ( ssItem(X1)
     => ! [X2] :
          ( ssItem(X2)
         => ( lt(X1,X2)
           => ~ lt(X2,X1) ) ) ),
    inference(fof_simplification,[status(thm)],[ax33]) ).

fof(i_0_99,plain,
    ! [X1] :
      ( ssItem(X1)
     => ~ lt(X1,X1) ),
    inference(fof_simplification,[status(thm)],[ax90]) ).

fof(i_0_100,plain,
    ! [X1] :
      ( ssItem(X1)
     => ~ memberP(nil,X1) ),
    inference(fof_simplification,[status(thm)],[ax38]) ).

fof(i_0_101,negated_conjecture,
    ! [X470,X471,X472,X473,X474] :
      ( ssList(esk48_0)
      & ssList(esk49_0)
      & ssList(esk50_0)
      & ssList(esk51_0)
      & esk49_0 = esk51_0
      & esk48_0 = esk50_0
      & neq(esk49_0,nil)
      & ( ~ ssItem(X470)
        | ~ ssList(X471)
        | ~ ssList(X472)
        | app(app(X471,cons(X470,nil)),X472) != esk49_0
        | app(app(X472,cons(X470,nil)),X471) != esk48_0 )
      & ( ~ ssItem(X473)
        | ~ ssList(X474)
        | app(X474,cons(X473,nil)) = esk50_0
        | app(cons(X473,nil),X474) != esk51_0 )
      & ( nil = esk50_0
        | nil != esk51_0 ) ),
    inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_96])])])]) ).

fof(i_0_102,plain,
    ! [X249,X250,X251,X252,X253,X254] :
      ( ( ~ cyclefreeP(X249)
        | ~ ssItem(X250)
        | ~ ssItem(X251)
        | ~ ssList(X252)
        | ~ ssList(X253)
        | ~ ssList(X254)
        | app(app(X252,cons(X250,X253)),cons(X251,X254)) != X249
        | ~ leq(X250,X251)
        | ~ leq(X251,X250)
        | ~ ssList(X249) )
      & ( ssItem(esk10_1(X249))
        | cyclefreeP(X249)
        | ~ ssList(X249) )
      & ( ssItem(esk11_1(X249))
        | cyclefreeP(X249)
        | ~ ssList(X249) )
      & ( ssList(esk12_1(X249))
        | cyclefreeP(X249)
        | ~ ssList(X249) )
      & ( ssList(esk13_1(X249))
        | cyclefreeP(X249)
        | ~ ssList(X249) )
      & ( ssList(esk14_1(X249))
        | cyclefreeP(X249)
        | ~ ssList(X249) )
      & ( app(app(esk12_1(X249),cons(esk10_1(X249),esk13_1(X249))),cons(esk11_1(X249),esk14_1(X249))) = X249
        | cyclefreeP(X249)
        | ~ ssList(X249) )
      & ( leq(esk10_1(X249),esk11_1(X249))
        | cyclefreeP(X249)
        | ~ ssList(X249) )
      & ( leq(esk11_1(X249),esk10_1(X249))
        | cyclefreeP(X249)
        | ~ ssList(X249) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax8])])])])]) ).

fof(i_0_103,plain,
    ! [X271,X272,X273,X274,X275,X276] :
      ( ( ~ strictorderP(X271)
        | ~ ssItem(X272)
        | ~ ssItem(X273)
        | ~ ssList(X274)
        | ~ ssList(X275)
        | ~ ssList(X276)
        | app(app(X274,cons(X272,X275)),cons(X273,X276)) != X271
        | lt(X272,X273)
        | lt(X273,X272)
        | ~ ssList(X271) )
      & ( ssItem(esk20_1(X271))
        | strictorderP(X271)
        | ~ ssList(X271) )
      & ( ssItem(esk21_1(X271))
        | strictorderP(X271)
        | ~ ssList(X271) )
      & ( ssList(esk22_1(X271))
        | strictorderP(X271)
        | ~ ssList(X271) )
      & ( ssList(esk23_1(X271))
        | strictorderP(X271)
        | ~ ssList(X271) )
      & ( ssList(esk24_1(X271))
        | strictorderP(X271)
        | ~ ssList(X271) )
      & ( app(app(esk22_1(X271),cons(esk20_1(X271),esk23_1(X271))),cons(esk21_1(X271),esk24_1(X271))) = X271
        | strictorderP(X271)
        | ~ ssList(X271) )
      & ( ~ lt(esk20_1(X271),esk21_1(X271))
        | strictorderP(X271)
        | ~ ssList(X271) )
      & ( ~ lt(esk21_1(X271),esk20_1(X271))
        | strictorderP(X271)
        | ~ ssList(X271) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax10])])])])]) ).

fof(i_0_104,plain,
    ! [X260,X261,X262,X263,X264,X265] :
      ( ( ~ totalorderP(X260)
        | ~ ssItem(X261)
        | ~ ssItem(X262)
        | ~ ssList(X263)
        | ~ ssList(X264)
        | ~ ssList(X265)
        | app(app(X263,cons(X261,X264)),cons(X262,X265)) != X260
        | leq(X261,X262)
        | leq(X262,X261)
        | ~ ssList(X260) )
      & ( ssItem(esk15_1(X260))
        | totalorderP(X260)
        | ~ ssList(X260) )
      & ( ssItem(esk16_1(X260))
        | totalorderP(X260)
        | ~ ssList(X260) )
      & ( ssList(esk17_1(X260))
        | totalorderP(X260)
        | ~ ssList(X260) )
      & ( ssList(esk18_1(X260))
        | totalorderP(X260)
        | ~ ssList(X260) )
      & ( ssList(esk19_1(X260))
        | totalorderP(X260)
        | ~ ssList(X260) )
      & ( app(app(esk17_1(X260),cons(esk15_1(X260),esk18_1(X260))),cons(esk16_1(X260),esk19_1(X260))) = X260
        | totalorderP(X260)
        | ~ ssList(X260) )
      & ( ~ leq(esk15_1(X260),esk16_1(X260))
        | totalorderP(X260)
        | ~ ssList(X260) )
      & ( ~ leq(esk16_1(X260),esk15_1(X260))
        | totalorderP(X260)
        | ~ ssList(X260) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax9])])])])]) ).

fof(i_0_105,plain,
    ! [X293,X294,X295,X296,X297,X298] :
      ( ( ~ strictorderedP(X293)
        | ~ ssItem(X294)
        | ~ ssItem(X295)
        | ~ ssList(X296)
        | ~ ssList(X297)
        | ~ ssList(X298)
        | app(app(X296,cons(X294,X297)),cons(X295,X298)) != X293
        | lt(X294,X295)
        | ~ ssList(X293) )
      & ( ssItem(esk30_1(X293))
        | strictorderedP(X293)
        | ~ ssList(X293) )
      & ( ssItem(esk31_1(X293))
        | strictorderedP(X293)
        | ~ ssList(X293) )
      & ( ssList(esk32_1(X293))
        | strictorderedP(X293)
        | ~ ssList(X293) )
      & ( ssList(esk33_1(X293))
        | strictorderedP(X293)
        | ~ ssList(X293) )
      & ( ssList(esk34_1(X293))
        | strictorderedP(X293)
        | ~ ssList(X293) )
      & ( app(app(esk32_1(X293),cons(esk30_1(X293),esk33_1(X293))),cons(esk31_1(X293),esk34_1(X293))) = X293
        | strictorderedP(X293)
        | ~ ssList(X293) )
      & ( ~ lt(esk30_1(X293),esk31_1(X293))
        | strictorderedP(X293)
        | ~ ssList(X293) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax12])])])])]) ).

fof(i_0_106,plain,
    ! [X282,X283,X284,X285,X286,X287] :
      ( ( ~ totalorderedP(X282)
        | ~ ssItem(X283)
        | ~ ssItem(X284)
        | ~ ssList(X285)
        | ~ ssList(X286)
        | ~ ssList(X287)
        | app(app(X285,cons(X283,X286)),cons(X284,X287)) != X282
        | leq(X283,X284)
        | ~ ssList(X282) )
      & ( ssItem(esk25_1(X282))
        | totalorderedP(X282)
        | ~ ssList(X282) )
      & ( ssItem(esk26_1(X282))
        | totalorderedP(X282)
        | ~ ssList(X282) )
      & ( ssList(esk27_1(X282))
        | totalorderedP(X282)
        | ~ ssList(X282) )
      & ( ssList(esk28_1(X282))
        | totalorderedP(X282)
        | ~ ssList(X282) )
      & ( ssList(esk29_1(X282))
        | totalorderedP(X282)
        | ~ ssList(X282) )
      & ( app(app(esk27_1(X282),cons(esk25_1(X282),esk28_1(X282))),cons(esk26_1(X282),esk29_1(X282))) = X282
        | totalorderedP(X282)
        | ~ ssList(X282) )
      & ( ~ leq(esk25_1(X282),esk26_1(X282))
        | totalorderedP(X282)
        | ~ ssList(X282) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax11])])])])]) ).

fof(i_0_107,plain,
    ! [X304,X305,X306,X307,X308,X309] :
      ( ( ~ duplicatefreeP(X304)
        | ~ ssItem(X305)
        | ~ ssItem(X306)
        | ~ ssList(X307)
        | ~ ssList(X308)
        | ~ ssList(X309)
        | app(app(X307,cons(X305,X308)),cons(X306,X309)) != X304
        | X305 != X306
        | ~ ssList(X304) )
      & ( ssItem(esk35_1(X304))
        | duplicatefreeP(X304)
        | ~ ssList(X304) )
      & ( ssItem(esk36_1(X304))
        | duplicatefreeP(X304)
        | ~ ssList(X304) )
      & ( ssList(esk37_1(X304))
        | duplicatefreeP(X304)
        | ~ ssList(X304) )
      & ( ssList(esk38_1(X304))
        | duplicatefreeP(X304)
        | ~ ssList(X304) )
      & ( ssList(esk39_1(X304))
        | duplicatefreeP(X304)
        | ~ ssList(X304) )
      & ( app(app(esk37_1(X304),cons(esk35_1(X304),esk38_1(X304))),cons(esk36_1(X304),esk39_1(X304))) = X304
        | duplicatefreeP(X304)
        | ~ ssList(X304) )
      & ( esk35_1(X304) = esk36_1(X304)
        | duplicatefreeP(X304)
        | ~ ssList(X304) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax13])])])])]) ).

fof(i_0_108,plain,
    ! [X315,X316,X317,X318,X319] :
      ( ( ~ equalelemsP(X315)
        | ~ ssItem(X316)
        | ~ ssItem(X317)
        | ~ ssList(X318)
        | ~ ssList(X319)
        | app(X318,cons(X316,cons(X317,X319))) != X315
        | X316 = X317
        | ~ ssList(X315) )
      & ( ssItem(esk40_1(X315))
        | equalelemsP(X315)
        | ~ ssList(X315) )
      & ( ssItem(esk41_1(X315))
        | equalelemsP(X315)
        | ~ ssList(X315) )
      & ( ssList(esk42_1(X315))
        | equalelemsP(X315)
        | ~ ssList(X315) )
      & ( ssList(esk43_1(X315))
        | equalelemsP(X315)
        | ~ ssList(X315) )
      & ( app(esk42_1(X315),cons(esk40_1(X315),cons(esk41_1(X315),esk43_1(X315)))) = X315
        | equalelemsP(X315)
        | ~ ssList(X315) )
      & ( esk40_1(X315) != esk41_1(X315)
        | equalelemsP(X315)
        | ~ ssList(X315) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax14])])])])]) ).

fof(i_0_109,plain,
    ! [X243,X244,X247,X248] :
      ( ( ssList(esk8_2(X243,X244))
        | ~ segmentP(X243,X244)
        | ~ ssList(X244)
        | ~ ssList(X243) )
      & ( ssList(esk9_2(X243,X244))
        | ~ segmentP(X243,X244)
        | ~ ssList(X244)
        | ~ ssList(X243) )
      & ( app(app(esk8_2(X243,X244),X244),esk9_2(X243,X244)) = X243
        | ~ segmentP(X243,X244)
        | ~ ssList(X244)
        | ~ ssList(X243) )
      & ( ~ ssList(X247)
        | ~ ssList(X248)
        | app(app(X247,X244),X248) != X243
        | segmentP(X243,X244)
        | ~ ssList(X244)
        | ~ ssList(X243) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax7])])])])]) ).

fof(i_0_110,plain,
    ! [X226,X227,X230,X231] :
      ( ( ssList(esk3_2(X226,X227))
        | ~ memberP(X226,X227)
        | ~ ssItem(X227)
        | ~ ssList(X226) )
      & ( ssList(esk4_2(X226,X227))
        | ~ memberP(X226,X227)
        | ~ ssItem(X227)
        | ~ ssList(X226) )
      & ( app(esk3_2(X226,X227),cons(X227,esk4_2(X226,X227))) = X226
        | ~ memberP(X226,X227)
        | ~ ssItem(X227)
        | ~ ssList(X226) )
      & ( ~ ssList(X230)
        | ~ ssList(X231)
        | app(X230,cons(X227,X231)) != X226
        | memberP(X226,X227)
        | ~ ssItem(X227)
        | ~ ssList(X226) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax3])])])])]) ).

fof(i_0_111,plain,
    ! [X382,X383,X384,X385] :
      ( ( X382 = X383
        | ~ frontsegP(cons(X382,X384),cons(X383,X385))
        | ~ ssList(X385)
        | ~ ssList(X384)
        | ~ ssItem(X383)
        | ~ ssItem(X382) )
      & ( frontsegP(X384,X385)
        | ~ frontsegP(cons(X382,X384),cons(X383,X385))
        | ~ ssList(X385)
        | ~ ssList(X384)
        | ~ ssItem(X383)
        | ~ ssItem(X382) )
      & ( X382 != X383
        | ~ frontsegP(X384,X385)
        | frontsegP(cons(X382,X384),cons(X383,X385))
        | ~ ssList(X385)
        | ~ ssList(X384)
        | ~ ssItem(X383)
        | ~ ssItem(X382) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax44])])])]) ).

fof(i_0_112,plain,
    ! [X405,X406,X407,X408] :
      ( ~ ssList(X405)
      | ~ ssList(X406)
      | ~ ssList(X407)
      | ~ ssList(X408)
      | ~ segmentP(X405,X406)
      | segmentP(app(app(X407,X405),X408),X406) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax56])])]) ).

fof(i_0_113,plain,
    ! [X366,X367,X368] :
      ( ( ~ memberP(app(X367,X368),X366)
        | memberP(X367,X366)
        | memberP(X368,X366)
        | ~ ssList(X368)
        | ~ ssList(X367)
        | ~ ssItem(X366) )
      & ( ~ memberP(X367,X366)
        | memberP(app(X367,X368),X366)
        | ~ ssList(X368)
        | ~ ssList(X367)
        | ~ ssItem(X366) )
      & ( ~ memberP(X368,X366)
        | memberP(app(X367,X368),X366)
        | ~ ssList(X368)
        | ~ ssList(X367)
        | ~ ssItem(X366) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax36])])])]) ).

fof(i_0_114,plain,
    ! [X369,X370,X371] :
      ( ( ~ memberP(cons(X370,X371),X369)
        | X369 = X370
        | memberP(X371,X369)
        | ~ ssList(X371)
        | ~ ssItem(X370)
        | ~ ssItem(X369) )
      & ( X369 != X370
        | memberP(cons(X370,X371),X369)
        | ~ ssList(X371)
        | ~ ssItem(X370)
        | ~ ssItem(X369) )
      & ( ~ memberP(X371,X369)
        | memberP(cons(X370,X371),X369)
        | ~ ssList(X371)
        | ~ ssItem(X370)
        | ~ ssItem(X369) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax37])])])]) ).

fof(i_0_115,plain,
    ! [X437,X438,X439] :
      ( ~ ssList(X437)
      | ~ ssList(X438)
      | ~ ssList(X439)
      | app(app(X437,X438),X439) = app(X437,app(X438,X439)) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax82])])]) ).

fof(i_0_116,plain,
    ! [X347,X348,X349] :
      ( ~ ssList(X347)
      | ~ ssList(X348)
      | ~ ssItem(X349)
      | cons(X349,app(X348,X347)) = app(cons(X349,X348),X347) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax27])])]) ).

fof(i_0_117,plain,
    ! [X418,X419] :
      ( ( nil != X419
        | nil = X419
        | ~ strictorderedP(cons(X418,X419))
        | ~ ssList(X419)
        | ~ ssItem(X418) )
      & ( strictorderedP(X419)
        | nil = X419
        | ~ strictorderedP(cons(X418,X419))
        | ~ ssList(X419)
        | ~ ssItem(X418) )
      & ( lt(X418,hd(X419))
        | nil = X419
        | ~ strictorderedP(cons(X418,X419))
        | ~ ssList(X419)
        | ~ ssItem(X418) )
      & ( nil != X419
        | strictorderedP(cons(X418,X419))
        | ~ ssList(X419)
        | ~ ssItem(X418) )
      & ( nil = X419
        | ~ strictorderedP(X419)
        | ~ lt(X418,hd(X419))
        | strictorderedP(cons(X418,X419))
        | ~ ssList(X419)
        | ~ ssItem(X418) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax70])])])]) ).

fof(i_0_118,plain,
    ! [X415,X416] :
      ( ( nil != X416
        | nil = X416
        | ~ totalorderedP(cons(X415,X416))
        | ~ ssList(X416)
        | ~ ssItem(X415) )
      & ( totalorderedP(X416)
        | nil = X416
        | ~ totalorderedP(cons(X415,X416))
        | ~ ssList(X416)
        | ~ ssItem(X415) )
      & ( leq(X415,hd(X416))
        | nil = X416
        | ~ totalorderedP(cons(X415,X416))
        | ~ ssList(X416)
        | ~ ssItem(X415) )
      & ( nil != X416
        | totalorderedP(cons(X415,X416))
        | ~ ssList(X416)
        | ~ ssItem(X415) )
      & ( nil = X416
        | ~ totalorderedP(X416)
        | ~ leq(X415,hd(X416))
        | totalorderedP(cons(X415,X416))
        | ~ ssList(X416)
        | ~ ssItem(X415) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax67])])])]) ).

fof(i_0_119,plain,
    ! [X394,X395,X396] :
      ( ~ ssList(X394)
      | ~ ssList(X395)
      | ~ ssList(X396)
      | ~ rearsegP(X394,X395)
      | rearsegP(app(X396,X394),X395) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax50])])]) ).

fof(i_0_120,plain,
    ! [X379,X380,X381] :
      ( ~ ssList(X379)
      | ~ ssList(X380)
      | ~ ssList(X381)
      | ~ frontsegP(X379,X380)
      | frontsegP(app(X379,X381),X380) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax43])])]) ).

fof(i_0_121,plain,
    ! [X463,X464,X465] :
      ( ~ ssItem(X463)
      | ~ ssItem(X464)
      | ~ ssItem(X465)
      | ~ gt(X463,X464)
      | ~ gt(X464,X465)
      | gt(X463,X465) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax95])])]) ).

fof(i_0_122,plain,
    ! [X449,X450,X451] :
      ( ~ ssItem(X449)
      | ~ ssItem(X450)
      | ~ ssItem(X451)
      | ~ geq(X449,X450)
      | ~ geq(X450,X451)
      | geq(X449,X451) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax88])])]) ).

fof(i_0_123,plain,
    ! [X361,X362,X363] :
      ( ~ ssItem(X361)
      | ~ ssItem(X362)
      | ~ ssItem(X363)
      | ~ lt(X361,X362)
      | ~ lt(X362,X363)
      | lt(X361,X363) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax34])])]) ).

fof(i_0_124,plain,
    ! [X454,X455,X456] :
      ( ~ ssItem(X454)
      | ~ ssItem(X455)
      | ~ ssItem(X456)
      | ~ leq(X454,X455)
      | ~ lt(X455,X456)
      | lt(X454,X456) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax91])])]) ).

fof(i_0_125,plain,
    ! [X353,X354,X355] :
      ( ~ ssItem(X353)
      | ~ ssItem(X354)
      | ~ ssItem(X355)
      | ~ leq(X353,X354)
      | ~ leq(X354,X355)
      | leq(X353,X355) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax30])])]) ).

fof(i_0_126,plain,
    ! [X399,X400,X401] :
      ( ~ ssList(X399)
      | ~ ssList(X400)
      | ~ ssList(X401)
      | ~ segmentP(X399,X400)
      | ~ segmentP(X400,X401)
      | segmentP(X399,X401) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax53])])]) ).

fof(i_0_127,plain,
    ! [X388,X389,X390] :
      ( ~ ssList(X388)
      | ~ ssList(X389)
      | ~ ssList(X390)
      | ~ rearsegP(X388,X389)
      | ~ rearsegP(X389,X390)
      | rearsegP(X388,X390) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax47])])]) ).

fof(i_0_128,plain,
    ! [X373,X374,X375] :
      ( ~ ssList(X373)
      | ~ ssList(X374)
      | ~ ssList(X375)
      | ~ frontsegP(X373,X374)
      | ~ frontsegP(X374,X375)
      | frontsegP(X373,X375) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax40])])]) ).

fof(i_0_129,plain,
    ! [X239,X240,X242] :
      ( ( ssList(esk7_2(X239,X240))
        | ~ rearsegP(X239,X240)
        | ~ ssList(X240)
        | ~ ssList(X239) )
      & ( app(esk7_2(X239,X240),X240) = X239
        | ~ rearsegP(X239,X240)
        | ~ ssList(X240)
        | ~ ssList(X239) )
      & ( ~ ssList(X242)
        | app(X242,X240) != X239
        | rearsegP(X239,X240)
        | ~ ssList(X240)
        | ~ ssList(X239) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax6])])])])]) ).

fof(i_0_130,plain,
    ! [X235,X236,X238] :
      ( ( ssList(esk6_2(X235,X236))
        | ~ frontsegP(X235,X236)
        | ~ ssList(X236)
        | ~ ssList(X235) )
      & ( app(X236,esk6_2(X235,X236)) = X235
        | ~ frontsegP(X235,X236)
        | ~ ssList(X236)
        | ~ ssList(X235) )
      & ( ~ ssList(X238)
        | app(X236,X238) != X235
        | frontsegP(X235,X236)
        | ~ ssList(X236)
        | ~ ssList(X235) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax5])])])])]) ).

fof(i_0_131,plain,
    ! [X330,X331,X332,X333] :
      ( ( X332 = X333
        | cons(X332,X330) != cons(X333,X331)
        | ~ ssItem(X333)
        | ~ ssItem(X332)
        | ~ ssList(X331)
        | ~ ssList(X330) )
      & ( X331 = X330
        | cons(X332,X330) != cons(X333,X331)
        | ~ ssItem(X333)
        | ~ ssItem(X332)
        | ~ ssList(X331)
        | ~ ssList(X330) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax19])])])]) ).

fof(i_0_132,plain,
    ! [X429,X430,X431] :
      ( ~ ssList(X429)
      | ~ ssList(X430)
      | ~ ssList(X431)
      | app(X431,X430) != app(X429,X430)
      | X431 = X429 ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax79])])]) ).

fof(i_0_133,plain,
    ! [X432,X433,X434] :
      ( ~ ssList(X432)
      | ~ ssList(X433)
      | ~ ssList(X434)
      | app(X433,X434) != app(X433,X432)
      | X434 = X432 ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax80])])]) ).

fof(i_0_134,plain,
    ! [X445,X446] :
      ( ~ ssList(X445)
      | ~ ssList(X446)
      | nil = X445
      | tl(app(X445,X446)) = app(tl(X445),X446) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax86])])]) ).

fof(i_0_135,plain,
    ! [X435,X436] :
      ( ~ ssList(X435)
      | ~ ssItem(X436)
      | cons(X436,X435) = app(cons(X436,nil),X435) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax81])])]) ).

fof(i_0_136,plain,
    ! [X402,X403] :
      ( ~ ssList(X402)
      | ~ ssList(X403)
      | ~ segmentP(X402,X403)
      | ~ segmentP(X403,X402)
      | X402 = X403 ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax54])])]) ).

fof(i_0_137,plain,
    ! [X391,X392] :
      ( ~ ssList(X391)
      | ~ ssList(X392)
      | ~ rearsegP(X391,X392)
      | ~ rearsegP(X392,X391)
      | X391 = X392 ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax48])])]) ).

fof(i_0_138,plain,
    ! [X376,X377] :
      ( ~ ssList(X376)
      | ~ ssList(X377)
      | ~ frontsegP(X376,X377)
      | ~ frontsegP(X377,X376)
      | X376 = X377 ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax41])])]) ).

fof(i_0_139,plain,
    ! [X447,X448] :
      ( ~ ssItem(X447)
      | ~ ssItem(X448)
      | ~ geq(X447,X448)
      | ~ geq(X448,X447)
      | X447 = X448 ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax87])])]) ).

fof(i_0_140,plain,
    ! [X351,X352] :
      ( ~ ssItem(X351)
      | ~ ssItem(X352)
      | ~ leq(X351,X352)
      | ~ leq(X352,X351)
      | X351 = X352 ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax29])])]) ).

fof(i_0_141,plain,
    ! [X461,X462] :
      ( ~ ssItem(X461)
      | ~ ssItem(X462)
      | ~ gt(X461,X462)
      | ~ gt(X462,X461) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_97])])]) ).

fof(i_0_142,plain,
    ! [X359,X360] :
      ( ~ ssItem(X359)
      | ~ ssItem(X360)
      | ~ lt(X359,X360)
      | ~ lt(X360,X359) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_98])])]) ).

fof(i_0_143,plain,
    ! [X459,X460] :
      ( ( X459 != X460
        | ~ lt(X459,X460)
        | ~ ssItem(X460)
        | ~ ssItem(X459) )
      & ( leq(X459,X460)
        | ~ lt(X459,X460)
        | ~ ssItem(X460)
        | ~ ssItem(X459) )
      & ( X459 = X460
        | ~ leq(X459,X460)
        | lt(X459,X460)
        | ~ ssItem(X460)
        | ~ ssItem(X459) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax93])])])]) ).

fof(i_0_144,plain,
    ! [X457,X458] :
      ( ~ ssItem(X457)
      | ~ ssItem(X458)
      | ~ leq(X457,X458)
      | X457 = X458
      | lt(X457,X458) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax92])])]) ).

fof(i_0_145,plain,
    ! [X364,X365] :
      ( ( ~ gt(X364,X365)
        | lt(X365,X364)
        | ~ ssItem(X365)
        | ~ ssItem(X364) )
      & ( ~ lt(X365,X364)
        | gt(X364,X365)
        | ~ ssItem(X365)
        | ~ ssItem(X364) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax35])])])]) ).

fof(i_0_146,plain,
    ! [X357,X358] :
      ( ( ~ geq(X357,X358)
        | leq(X358,X357)
        | ~ ssItem(X358)
        | ~ ssItem(X357) )
      & ( ~ leq(X358,X357)
        | geq(X357,X358)
        | ~ ssItem(X358)
        | ~ ssItem(X357) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax32])])])]) ).

fof(i_0_147,plain,
    ! [X443,X444] :
      ( ~ ssList(X443)
      | ~ ssList(X444)
      | nil = X443
      | hd(app(X443,X444)) = hd(X443) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax85])])]) ).

fof(i_0_148,plain,
    ! [X426,X427] :
      ( ~ ssList(X426)
      | ~ ssList(X427)
      | nil = X427
      | nil = X426
      | hd(X427) != hd(X426)
      | tl(X427) != tl(X426)
      | X427 = X426 ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax77])])]) ).

fof(i_0_149,plain,
    ! [X343,X344] :
      ( ~ ssList(X343)
      | ~ ssItem(X344)
      | tl(cons(X344,X343)) = X343 ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax25])])]) ).

fof(i_0_150,plain,
    ! [X340,X341] :
      ( ~ ssList(X340)
      | ~ ssItem(X341)
      | hd(cons(X341,X340)) = X341 ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax23])])]) ).

fof(i_0_151,plain,
    ! [X345,X346] :
      ( ~ ssList(X345)
      | ~ ssList(X346)
      | ssList(app(X345,X346)) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax26])])]) ).

fof(i_0_152,plain,
    ! [X326,X327] :
      ( ~ ssList(X326)
      | ~ ssItem(X327)
      | ssList(cons(X327,X326)) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax16])])]) ).

fof(i_0_153,plain,
    ! [X324,X325] :
      ( ( ~ neq(X324,X325)
        | X324 != X325
        | ~ ssList(X325)
        | ~ ssList(X324) )
      & ( X324 = X325
        | neq(X324,X325)
        | ~ ssList(X325)
        | ~ ssList(X324) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax15])])])]) ).

fof(i_0_154,plain,
    ! [X222,X223] :
      ( ( ~ neq(X222,X223)
        | X222 != X223
        | ~ ssItem(X223)
        | ~ ssItem(X222) )
      & ( X222 = X223
        | neq(X222,X223)
        | ~ ssItem(X223)
        | ~ ssItem(X222) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax1])])])]) ).

fof(i_0_155,plain,
    ! [X232,X234] :
      ( ( ssItem(esk5_1(X232))
        | ~ singletonP(X232)
        | ~ ssList(X232) )
      & ( cons(esk5_1(X232),nil) = X232
        | ~ singletonP(X232)
        | ~ ssList(X232) )
      & ( ~ ssItem(X234)
        | cons(X234,nil) != X232
        | singletonP(X232)
        | ~ ssList(X232) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax4])])])])]) ).

fof(i_0_156,plain,
    ! [X440,X441] :
      ( ( nil = X441
        | nil != app(X440,X441)
        | ~ ssList(X441)
        | ~ ssList(X440) )
      & ( nil = X440
        | nil != app(X440,X441)
        | ~ ssList(X441)
        | ~ ssList(X440) )
      & ( nil != X441
        | nil != X440
        | nil = app(X440,X441)
        | ~ ssList(X441)
        | ~ ssList(X440) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax83])])])]) ).

fof(i_0_157,plain,
    ! [X328,X329] :
      ( ~ ssList(X328)
      | ~ ssItem(X329)
      | cons(X329,X328) != X328 ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax18])])]) ).

fof(i_0_158,plain,
    ! [X337,X338] :
      ( ~ ssList(X337)
      | ~ ssItem(X338)
      | nil != cons(X338,X337) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax21])])]) ).

fof(i_0_159,plain,
    ! [X334] :
      ( ( ssList(esk44_1(X334))
        | nil = X334
        | ~ ssList(X334) )
      & ( ssItem(esk45_1(X334))
        | nil = X334
        | ~ ssList(X334) )
      & ( cons(esk45_1(X334),esk44_1(X334)) = X334
        | nil = X334
        | ~ ssList(X334) ) ),
    inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax20])])])]) ).

fof(i_0_160,plain,
    ! [X428] :
      ( ~ ssList(X428)
      | nil = X428
      | cons(hd(X428),tl(X428)) = X428 ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax78])]) ).

fof(i_0_161,plain,
    ! [X421] :
      ( ~ ssItem(X421)
      | equalelemsP(cons(X421,nil)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax73])]) ).

fof(i_0_162,plain,
    ! [X420] :
      ( ~ ssItem(X420)
      | duplicatefreeP(cons(X420,nil)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax71])]) ).

fof(i_0_163,plain,
    ! [X417] :
      ( ~ ssItem(X417)
      | strictorderedP(cons(X417,nil)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax68])]) ).

fof(i_0_164,plain,
    ! [X414] :
      ( ~ ssItem(X414)
      | totalorderedP(cons(X414,nil)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax65])]) ).

fof(i_0_165,plain,
    ! [X413] :
      ( ~ ssItem(X413)
      | strictorderP(cons(X413,nil)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax63])]) ).

fof(i_0_166,plain,
    ! [X412] :
      ( ~ ssItem(X412)
      | totalorderP(cons(X412,nil)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax61])]) ).

fof(i_0_167,plain,
    ! [X411] :
      ( ~ ssItem(X411)
      | cyclefreeP(cons(X411,nil)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax59])]) ).

fof(i_0_168,plain,
    ! [X453] :
      ( ~ ssItem(X453)
      | ~ lt(X453,X453) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_99])]) ).

fof(i_0_169,plain,
    ! [X410] :
      ( ( ~ segmentP(nil,X410)
        | nil = X410
        | ~ ssList(X410) )
      & ( nil != X410
        | segmentP(nil,X410)
        | ~ ssList(X410) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax58])])]) ).

fof(i_0_170,plain,
    ! [X398] :
      ( ( ~ rearsegP(nil,X398)
        | nil = X398
        | ~ ssList(X398) )
      & ( nil != X398
        | rearsegP(nil,X398)
        | ~ ssList(X398) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax52])])]) ).

fof(i_0_171,plain,
    ! [X387] :
      ( ( ~ frontsegP(nil,X387)
        | nil = X387
        | ~ ssList(X387) )
      & ( nil != X387
        | frontsegP(nil,X387)
        | ~ ssList(X387) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax46])])]) ).

fof(i_0_172,plain,
    ! [X372] :
      ( ~ ssItem(X372)
      | ~ memberP(nil,X372) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_100])]) ).

fof(i_0_173,plain,
    ! [X452] :
      ( ~ ssItem(X452)
      | geq(X452,X452) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax89])]) ).

fof(i_0_174,plain,
    ! [X356] :
      ( ~ ssItem(X356)
      | leq(X356,X356) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax31])]) ).

fof(i_0_175,plain,
    ! [X404] :
      ( ~ ssList(X404)
      | segmentP(X404,X404) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax55])]) ).

fof(i_0_176,plain,
    ! [X393] :
      ( ~ ssList(X393)
      | rearsegP(X393,X393) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax49])]) ).

fof(i_0_177,plain,
    ! [X378] :
      ( ~ ssList(X378)
      | frontsegP(X378,X378) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax42])]) ).

fof(i_0_178,plain,
    ! [X350] :
      ( ~ ssList(X350)
      | app(nil,X350) = X350 ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax28])]) ).

fof(i_0_179,plain,
    ! [X442] :
      ( ~ ssList(X442)
      | app(X442,nil) = X442 ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax84])]) ).

fof(i_0_180,plain,
    ! [X409] :
      ( ~ ssList(X409)
      | segmentP(X409,nil) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax57])]) ).

fof(i_0_181,plain,
    ! [X397] :
      ( ~ ssList(X397)
      | rearsegP(X397,nil) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax51])]) ).

fof(i_0_182,plain,
    ! [X386] :
      ( ~ ssList(X386)
      | frontsegP(X386,nil) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax45])]) ).

fof(i_0_183,plain,
    ! [X424] :
      ( ( ssList(esk47_1(X424))
        | nil = X424
        | ~ ssList(X424) )
      & ( tl(X424) = esk47_1(X424)
        | nil = X424
        | ~ ssList(X424) ) ),
    inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax76])])])]) ).

fof(i_0_184,plain,
    ! [X342] :
      ( ~ ssList(X342)
      | nil = X342
      | ssList(tl(X342)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax24])]) ).

fof(i_0_185,plain,
    ! [X422] :
      ( ( ssItem(esk46_1(X422))
        | nil = X422
        | ~ ssList(X422) )
      & ( hd(X422) = esk46_1(X422)
        | nil = X422
        | ~ ssList(X422) ) ),
    inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax75])])])]) ).

fof(i_0_186,plain,
    ! [X339] :
      ( ~ ssList(X339)
      | nil = X339
      | ssItem(hd(X339)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax22])]) ).

fof(i_0_187,plain,
    ~ singletonP(nil),
    inference(fof_simplification,[status(thm)],[ax39]) ).

fof(i_0_188,plain,
    ( ssItem(esk1_0)
    & ssItem(esk2_0)
    & esk1_0 != esk2_0 ),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[ax2])]) ).

cnf(i_0_189,negated_conjecture,
    ( ~ ssItem(X1)
    | ~ ssList(X2)
    | ~ ssList(X3)
    | app(app(X2,cons(X1,nil)),X3) != esk49_0
    | app(app(X3,cons(X1,nil)),X2) != esk48_0 ),
    inference(split_conjunct,[status(thm)],[i_0_101]),
    [final] ).

cnf(i_0_190,plain,
    ( ~ cyclefreeP(X1)
    | ~ ssItem(X2)
    | ~ ssItem(X3)
    | ~ ssList(X4)
    | ~ ssList(X5)
    | ~ ssList(X6)
    | app(app(X4,cons(X2,X5)),cons(X3,X6)) != X1
    | ~ leq(X2,X3)
    | ~ leq(X3,X2)
    | ~ ssList(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_102]),
    [final] ).

cnf(i_0_191,plain,
    ( lt(X2,X3)
    | lt(X3,X2)
    | ~ strictorderP(X1)
    | ~ ssItem(X2)
    | ~ ssItem(X3)
    | ~ ssList(X4)
    | ~ ssList(X5)
    | ~ ssList(X6)
    | app(app(X4,cons(X2,X5)),cons(X3,X6)) != X1
    | ~ ssList(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_103]),
    [final] ).

cnf(i_0_192,plain,
    ( leq(X2,X3)
    | leq(X3,X2)
    | ~ totalorderP(X1)
    | ~ ssItem(X2)
    | ~ ssItem(X3)
    | ~ ssList(X4)
    | ~ ssList(X5)
    | ~ ssList(X6)
    | app(app(X4,cons(X2,X5)),cons(X3,X6)) != X1
    | ~ ssList(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_104]),
    [final] ).

cnf(i_0_193,plain,
    ( lt(X2,X3)
    | ~ strictorderedP(X1)
    | ~ ssItem(X2)
    | ~ ssItem(X3)
    | ~ ssList(X4)
    | ~ ssList(X5)
    | ~ ssList(X6)
    | app(app(X4,cons(X2,X5)),cons(X3,X6)) != X1
    | ~ ssList(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_105]),
    [final] ).

cnf(i_0_194,plain,
    ( leq(X2,X3)
    | ~ totalorderedP(X1)
    | ~ ssItem(X2)
    | ~ ssItem(X3)
    | ~ ssList(X4)
    | ~ ssList(X5)
    | ~ ssList(X6)
    | app(app(X4,cons(X2,X5)),cons(X3,X6)) != X1
    | ~ ssList(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_106]),
    [final] ).

cnf(i_0_195,plain,
    ( ~ duplicatefreeP(X1)
    | ~ ssItem(X2)
    | ~ ssItem(X3)
    | ~ ssList(X4)
    | ~ ssList(X5)
    | ~ ssList(X6)
    | app(app(X4,cons(X2,X5)),cons(X3,X6)) != X1
    | X2 != X3
    | ~ ssList(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_107]),
    [final] ).

cnf(i_0_196,plain,
    ( app(app(esk37_1(X1),cons(esk35_1(X1),esk38_1(X1))),cons(esk36_1(X1),esk39_1(X1))) = X1
    | duplicatefreeP(X1)
    | ~ ssList(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_107]),
    [final] ).

cnf(i_0_197,plain,
    ( app(app(esk32_1(X1),cons(esk30_1(X1),esk33_1(X1))),cons(esk31_1(X1),esk34_1(X1))) = X1
    | strictorderedP(X1)
    | ~ ssList(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_105]),
    [final] ).

cnf(i_0_198,plain,
    ( app(app(esk27_1(X1),cons(esk25_1(X1),esk28_1(X1))),cons(esk26_1(X1),esk29_1(X1))) = X1
    | totalorderedP(X1)
    | ~ ssList(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_106]),
    [final] ).

cnf(i_0_199,plain,
    ( app(app(esk22_1(X1),cons(esk20_1(X1),esk23_1(X1))),cons(esk21_1(X1),esk24_1(X1))) = X1
    | strictorderP(X1)
    | ~ ssList(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_103]),
    [final] ).

cnf(i_0_200,plain,
    ( app(app(esk17_1(X1),cons(esk15_1(X1),esk18_1(X1))),cons(esk16_1(X1),esk19_1(X1))) = X1
    | totalorderP(X1)
    | ~ ssList(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_104]),
    [final] ).

cnf(i_0_201,plain,
    ( app(app(esk12_1(X1),cons(esk10_1(X1),esk13_1(X1))),cons(esk11_1(X1),esk14_1(X1))) = X1
    | cyclefreeP(X1)
    | ~ ssList(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_102]),
    [final] ).

cnf(i_0_202,plain,
    ( X2 = X3
    | ~ equalelemsP(X1)
    | ~ ssItem(X2)
    | ~ ssItem(X3)
    | ~ ssList(X4)
    | ~ ssList(X5)
    | app(X4,cons(X2,cons(X3,X5))) != X1
    | ~ ssList(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_108]),
    [final] ).

cnf(i_0_203,plain,
    ( app(esk42_1(X1),cons(esk40_1(X1),cons(esk41_1(X1),esk43_1(X1)))) = X1
    | equalelemsP(X1)
    | ~ ssList(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_108]),
    [final] ).

cnf(i_0_204,plain,
    ( app(app(esk8_2(X1,X2),X2),esk9_2(X1,X2)) = X1
    | ~ segmentP(X1,X2)
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_109]),
    [final] ).

cnf(i_0_205,plain,
    ( app(esk3_2(X1,X2),cons(X2,esk4_2(X1,X2))) = X1
    | ~ memberP(X1,X2)
    | ~ ssItem(X2)
    | ~ ssList(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_110]),
    [final] ).

cnf(i_0_206,plain,
    ( frontsegP(X1,X2)
    | ~ frontsegP(cons(X3,X1),cons(X4,X2))
    | ~ ssList(X2)
    | ~ ssList(X1)
    | ~ ssItem(X4)
    | ~ ssItem(X3) ),
    inference(split_conjunct,[status(thm)],[i_0_111]),
    [final] ).

cnf(i_0_207,plain,
    ( segmentP(app(app(X3,X1),X4),X2)
    | ~ ssList(X1)
    | ~ ssList(X2)
    | ~ ssList(X3)
    | ~ ssList(X4)
    | ~ segmentP(X1,X2) ),
    inference(split_conjunct,[status(thm)],[i_0_112]),
    [final] ).

cnf(i_0_208,plain,
    ( X1 = X2
    | ~ frontsegP(cons(X1,X3),cons(X2,X4))
    | ~ ssList(X4)
    | ~ ssList(X3)
    | ~ ssItem(X2)
    | ~ ssItem(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_111]),
    [final] ).

cnf(i_0_209,plain,
    ( frontsegP(cons(X1,X3),cons(X2,X4))
    | X1 != X2
    | ~ frontsegP(X3,X4)
    | ~ ssList(X4)
    | ~ ssList(X3)
    | ~ ssItem(X2)
    | ~ ssItem(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_111]),
    [final] ).

cnf(i_0_210,plain,
    ( memberP(X1,X3)
    | memberP(X2,X3)
    | ~ memberP(app(X1,X2),X3)
    | ~ ssList(X2)
    | ~ ssList(X1)
    | ~ ssItem(X3) ),
    inference(split_conjunct,[status(thm)],[i_0_113]),
    [final] ).

cnf(i_0_211,negated_conjecture,
    ( app(X2,cons(X1,nil)) = esk50_0
    | ~ ssItem(X1)
    | ~ ssList(X2)
    | app(cons(X1,nil),X2) != esk51_0 ),
    inference(split_conjunct,[status(thm)],[i_0_101]),
    [final] ).

cnf(i_0_212,plain,
    ( segmentP(X4,X3)
    | ~ ssList(X1)
    | ~ ssList(X2)
    | app(app(X1,X3),X2) != X4
    | ~ ssList(X3)
    | ~ ssList(X4) ),
    inference(split_conjunct,[status(thm)],[i_0_109]),
    [final] ).

cnf(i_0_213,plain,
    ( memberP(X4,X3)
    | ~ ssList(X1)
    | ~ ssList(X2)
    | app(X1,cons(X3,X2)) != X4
    | ~ ssItem(X3)
    | ~ ssList(X4) ),
    inference(split_conjunct,[status(thm)],[i_0_110]),
    [final] ).

cnf(i_0_214,plain,
    ( X3 = X1
    | memberP(X2,X3)
    | ~ memberP(cons(X1,X2),X3)
    | ~ ssList(X2)
    | ~ ssItem(X1)
    | ~ ssItem(X3) ),
    inference(split_conjunct,[status(thm)],[i_0_114]),
    [final] ).

cnf(i_0_215,plain,
    ( app(app(X1,X2),X3) = app(X1,app(X2,X3))
    | ~ ssList(X1)
    | ~ ssList(X2)
    | ~ ssList(X3) ),
    inference(split_conjunct,[status(thm)],[i_0_115]),
    [final] ).

cnf(i_0_216,plain,
    ( cons(X3,app(X2,X1)) = app(cons(X3,X2),X1)
    | ~ ssList(X1)
    | ~ ssList(X2)
    | ~ ssItem(X3) ),
    inference(split_conjunct,[status(thm)],[i_0_116]),
    [final] ).

cnf(i_0_217,plain,
    ( nil = X1
    | strictorderedP(cons(X2,X1))
    | ~ strictorderedP(X1)
    | ~ lt(X2,hd(X1))
    | ~ ssList(X1)
    | ~ ssItem(X2) ),
    inference(split_conjunct,[status(thm)],[i_0_117]),
    [final] ).

cnf(i_0_218,plain,
    ( nil = X1
    | totalorderedP(cons(X2,X1))
    | ~ totalorderedP(X1)
    | ~ leq(X2,hd(X1))
    | ~ ssList(X1)
    | ~ ssItem(X2) ),
    inference(split_conjunct,[status(thm)],[i_0_118]),
    [final] ).

cnf(i_0_219,plain,
    ( rearsegP(app(X3,X1),X2)
    | ~ ssList(X1)
    | ~ ssList(X2)
    | ~ ssList(X3)
    | ~ rearsegP(X1,X2) ),
    inference(split_conjunct,[status(thm)],[i_0_119]),
    [final] ).

cnf(i_0_220,plain,
    ( frontsegP(app(X1,X3),X2)
    | ~ ssList(X1)
    | ~ ssList(X2)
    | ~ ssList(X3)
    | ~ frontsegP(X1,X2) ),
    inference(split_conjunct,[status(thm)],[i_0_120]),
    [final] ).

cnf(i_0_221,plain,
    ( memberP(app(X1,X3),X2)
    | ~ memberP(X1,X2)
    | ~ ssList(X3)
    | ~ ssList(X1)
    | ~ ssItem(X2) ),
    inference(split_conjunct,[status(thm)],[i_0_113]),
    [final] ).

cnf(i_0_222,plain,
    ( memberP(app(X3,X1),X2)
    | ~ memberP(X1,X2)
    | ~ ssList(X1)
    | ~ ssList(X3)
    | ~ ssItem(X2) ),
    inference(split_conjunct,[status(thm)],[i_0_113]),
    [final] ).

cnf(i_0_223,plain,
    ( memberP(cons(X3,X1),X2)
    | ~ memberP(X1,X2)
    | ~ ssList(X1)
    | ~ ssItem(X3)
    | ~ ssItem(X2) ),
    inference(split_conjunct,[status(thm)],[i_0_114]),
    [final] ).

cnf(i_0_224,plain,
    ( lt(X1,hd(X2))
    | nil = X2
    | ~ strictorderedP(cons(X1,X2))
    | ~ ssList(X2)
    | ~ ssItem(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_117]),
    [final] ).

cnf(i_0_225,plain,
    ( leq(X1,hd(X2))
    | nil = X2
    | ~ totalorderedP(cons(X1,X2))
    | ~ ssList(X2)
    | ~ ssItem(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_118]),
    [final] ).

cnf(i_0_226,plain,
    ( gt(X1,X3)
    | ~ ssItem(X1)
    | ~ ssItem(X2)
    | ~ ssItem(X3)
    | ~ gt(X1,X2)
    | ~ gt(X2,X3) ),
    inference(split_conjunct,[status(thm)],[i_0_121]),
    [final] ).

cnf(i_0_227,plain,
    ( geq(X1,X3)
    | ~ ssItem(X1)
    | ~ ssItem(X2)
    | ~ ssItem(X3)
    | ~ geq(X1,X2)
    | ~ geq(X2,X3) ),
    inference(split_conjunct,[status(thm)],[i_0_122]),
    [final] ).

cnf(i_0_228,plain,
    ( lt(X1,X3)
    | ~ ssItem(X1)
    | ~ ssItem(X2)
    | ~ ssItem(X3)
    | ~ lt(X1,X2)
    | ~ lt(X2,X3) ),
    inference(split_conjunct,[status(thm)],[i_0_123]),
    [final] ).

cnf(i_0_229,plain,
    ( lt(X1,X3)
    | ~ ssItem(X1)
    | ~ ssItem(X2)
    | ~ ssItem(X3)
    | ~ leq(X1,X2)
    | ~ lt(X2,X3) ),
    inference(split_conjunct,[status(thm)],[i_0_124]),
    [final] ).

cnf(i_0_230,plain,
    ( leq(X1,X3)
    | ~ ssItem(X1)
    | ~ ssItem(X2)
    | ~ ssItem(X3)
    | ~ leq(X1,X2)
    | ~ leq(X2,X3) ),
    inference(split_conjunct,[status(thm)],[i_0_125]),
    [final] ).

cnf(i_0_231,plain,
    ( segmentP(X1,X3)
    | ~ ssList(X1)
    | ~ ssList(X2)
    | ~ ssList(X3)
    | ~ segmentP(X1,X2)
    | ~ segmentP(X2,X3) ),
    inference(split_conjunct,[status(thm)],[i_0_126]),
    [final] ).

cnf(i_0_232,plain,
    ( rearsegP(X1,X3)
    | ~ ssList(X1)
    | ~ ssList(X2)
    | ~ ssList(X3)
    | ~ rearsegP(X1,X2)
    | ~ rearsegP(X2,X3) ),
    inference(split_conjunct,[status(thm)],[i_0_127]),
    [final] ).

cnf(i_0_233,plain,
    ( frontsegP(X1,X3)
    | ~ ssList(X1)
    | ~ ssList(X2)
    | ~ ssList(X3)
    | ~ frontsegP(X1,X2)
    | ~ frontsegP(X2,X3) ),
    inference(split_conjunct,[status(thm)],[i_0_128]),
    [final] ).

cnf(i_0_234,plain,
    ( app(esk7_2(X1,X2),X2) = X1
    | ~ rearsegP(X1,X2)
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_129]),
    [final] ).

cnf(i_0_235,plain,
    ( app(X1,esk6_2(X2,X1)) = X2
    | ~ frontsegP(X2,X1)
    | ~ ssList(X1)
    | ~ ssList(X2) ),
    inference(split_conjunct,[status(thm)],[i_0_130]),
    [final] ).

cnf(i_0_236,plain,
    ( X1 = X2
    | cons(X1,X3) != cons(X2,X4)
    | ~ ssItem(X2)
    | ~ ssItem(X1)
    | ~ ssList(X4)
    | ~ ssList(X3) ),
    inference(split_conjunct,[status(thm)],[i_0_131]),
    [final] ).

cnf(i_0_237,plain,
    ( X1 = X2
    | cons(X3,X2) != cons(X4,X1)
    | ~ ssItem(X4)
    | ~ ssItem(X3)
    | ~ ssList(X1)
    | ~ ssList(X2) ),
    inference(split_conjunct,[status(thm)],[i_0_131]),
    [final] ).

cnf(i_0_238,plain,
    ( strictorderedP(X1)
    | nil = X1
    | ~ strictorderedP(cons(X2,X1))
    | ~ ssList(X1)
    | ~ ssItem(X2) ),
    inference(split_conjunct,[status(thm)],[i_0_117]),
    [final] ).

cnf(i_0_239,plain,
    ( totalorderedP(X1)
    | nil = X1
    | ~ totalorderedP(cons(X2,X1))
    | ~ ssList(X1)
    | ~ ssItem(X2) ),
    inference(split_conjunct,[status(thm)],[i_0_118]),
    [final] ).

cnf(i_0_240,plain,
    ( X3 = X1
    | ~ ssList(X1)
    | ~ ssList(X2)
    | ~ ssList(X3)
    | app(X3,X2) != app(X1,X2) ),
    inference(split_conjunct,[status(thm)],[i_0_132]),
    [final] ).

cnf(i_0_241,plain,
    ( X3 = X1
    | ~ ssList(X1)
    | ~ ssList(X2)
    | ~ ssList(X3)
    | app(X2,X3) != app(X2,X1) ),
    inference(split_conjunct,[status(thm)],[i_0_133]),
    [final] ).

cnf(i_0_242,plain,
    ( ssList(esk9_2(X1,X2))
    | ~ segmentP(X1,X2)
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_109]),
    [final] ).

cnf(i_0_243,plain,
    ( ssList(esk8_2(X1,X2))
    | ~ segmentP(X1,X2)
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_109]),
    [final] ).

cnf(i_0_244,plain,
    ( ssList(esk7_2(X1,X2))
    | ~ rearsegP(X1,X2)
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_129]),
    [final] ).

cnf(i_0_245,plain,
    ( ssList(esk6_2(X1,X2))
    | ~ frontsegP(X1,X2)
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_130]),
    [final] ).

cnf(i_0_246,plain,
    ( ssList(esk4_2(X1,X2))
    | ~ memberP(X1,X2)
    | ~ ssItem(X2)
    | ~ ssList(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_110]),
    [final] ).

cnf(i_0_247,plain,
    ( ssList(esk3_2(X1,X2))
    | ~ memberP(X1,X2)
    | ~ ssItem(X2)
    | ~ ssList(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_110]),
    [final] ).

cnf(i_0_248,plain,
    ( nil = X1
    | tl(app(X1,X2)) = app(tl(X1),X2)
    | ~ ssList(X1)
    | ~ ssList(X2) ),
    inference(split_conjunct,[status(thm)],[i_0_134]),
    [final] ).

cnf(i_0_249,plain,
    ( memberP(cons(X2,X3),X1)
    | X1 != X2
    | ~ ssList(X3)
    | ~ ssItem(X2)
    | ~ ssItem(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_114]),
    [final] ).

cnf(i_0_250,plain,
    ( cons(X2,X1) = app(cons(X2,nil),X1)
    | ~ ssList(X1)
    | ~ ssItem(X2) ),
    inference(split_conjunct,[status(thm)],[i_0_135]),
    [final] ).

cnf(i_0_251,plain,
    ( X1 = X2
    | ~ ssList(X1)
    | ~ ssList(X2)
    | ~ segmentP(X1,X2)
    | ~ segmentP(X2,X1) ),
    inference(split_conjunct,[status(thm)],[i_0_136]),
    [final] ).

cnf(i_0_252,plain,
    ( X1 = X2
    | ~ ssList(X1)
    | ~ ssList(X2)
    | ~ rearsegP(X1,X2)
    | ~ rearsegP(X2,X1) ),
    inference(split_conjunct,[status(thm)],[i_0_137]),
    [final] ).

cnf(i_0_253,plain,
    ( X1 = X2
    | ~ ssList(X1)
    | ~ ssList(X2)
    | ~ frontsegP(X1,X2)
    | ~ frontsegP(X2,X1) ),
    inference(split_conjunct,[status(thm)],[i_0_138]),
    [final] ).

cnf(i_0_254,plain,
    ( X1 = X2
    | ~ ssItem(X1)
    | ~ ssItem(X2)
    | ~ geq(X1,X2)
    | ~ geq(X2,X1) ),
    inference(split_conjunct,[status(thm)],[i_0_139]),
    [final] ).

cnf(i_0_255,plain,
    ( X1 = X2
    | ~ ssItem(X1)
    | ~ ssItem(X2)
    | ~ leq(X1,X2)
    | ~ leq(X2,X1) ),
    inference(split_conjunct,[status(thm)],[i_0_140]),
    [final] ).

cnf(i_0_256,plain,
    ( rearsegP(X3,X2)
    | ~ ssList(X1)
    | app(X1,X2) != X3
    | ~ ssList(X2)
    | ~ ssList(X3) ),
    inference(split_conjunct,[status(thm)],[i_0_129]),
    [final] ).

cnf(i_0_257,plain,
    ( frontsegP(X3,X2)
    | ~ ssList(X1)
    | app(X2,X1) != X3
    | ~ ssList(X2)
    | ~ ssList(X3) ),
    inference(split_conjunct,[status(thm)],[i_0_130]),
    [final] ).

cnf(i_0_258,plain,
    ( ~ ssItem(X1)
    | ~ ssItem(X2)
    | ~ gt(X1,X2)
    | ~ gt(X2,X1) ),
    inference(split_conjunct,[status(thm)],[i_0_141]),
    [final] ).

cnf(i_0_259,plain,
    ( ~ ssItem(X1)
    | ~ ssItem(X2)
    | ~ lt(X1,X2)
    | ~ lt(X2,X1) ),
    inference(split_conjunct,[status(thm)],[i_0_142]),
    [final] ).

cnf(i_0_260,plain,
    ( X1 = X2
    | lt(X1,X2)
    | ~ leq(X1,X2)
    | ~ ssItem(X2)
    | ~ ssItem(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_143]),
    [final] ).

cnf(i_0_261,plain,
    ( X1 = X2
    | lt(X1,X2)
    | ~ ssItem(X1)
    | ~ ssItem(X2)
    | ~ leq(X1,X2) ),
    inference(split_conjunct,[status(thm)],[i_0_144]),
    [final] ).

cnf(i_0_262,plain,
    ( strictorderedP(X1)
    | ~ lt(esk30_1(X1),esk31_1(X1))
    | ~ ssList(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_105]),
    [final] ).

cnf(i_0_263,plain,
    ( totalorderedP(X1)
    | ~ leq(esk25_1(X1),esk26_1(X1))
    | ~ ssList(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_106]),
    [final] ).

cnf(i_0_264,plain,
    ( strictorderP(X1)
    | ~ lt(esk21_1(X1),esk20_1(X1))
    | ~ ssList(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_103]),
    [final] ).

cnf(i_0_265,plain,
    ( strictorderP(X1)
    | ~ lt(esk20_1(X1),esk21_1(X1))
    | ~ ssList(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_103]),
    [final] ).

cnf(i_0_266,plain,
    ( totalorderP(X1)
    | ~ leq(esk16_1(X1),esk15_1(X1))
    | ~ ssList(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_104]),
    [final] ).

cnf(i_0_267,plain,
    ( totalorderP(X1)
    | ~ leq(esk15_1(X1),esk16_1(X1))
    | ~ ssList(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_104]),
    [final] ).

cnf(i_0_268,plain,
    ( gt(X2,X1)
    | ~ lt(X1,X2)
    | ~ ssItem(X1)
    | ~ ssItem(X2) ),
    inference(split_conjunct,[status(thm)],[i_0_145]),
    [final] ).

cnf(i_0_269,plain,
    ( geq(X2,X1)
    | ~ leq(X1,X2)
    | ~ ssItem(X1)
    | ~ ssItem(X2) ),
    inference(split_conjunct,[status(thm)],[i_0_146]),
    [final] ).

cnf(i_0_270,plain,
    ( lt(X2,X1)
    | ~ gt(X1,X2)
    | ~ ssItem(X2)
    | ~ ssItem(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_145]),
    [final] ).

cnf(i_0_271,plain,
    ( leq(X1,X2)
    | ~ lt(X1,X2)
    | ~ ssItem(X2)
    | ~ ssItem(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_143]),
    [final] ).

cnf(i_0_272,plain,
    ( leq(X2,X1)
    | ~ geq(X1,X2)
    | ~ ssItem(X2)
    | ~ ssItem(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_146]),
    [final] ).

cnf(i_0_273,plain,
    ( nil = X1
    | hd(app(X1,X2)) = hd(X1)
    | ~ ssList(X1)
    | ~ ssList(X2) ),
    inference(split_conjunct,[status(thm)],[i_0_147]),
    [final] ).

cnf(i_0_274,plain,
    ( strictorderedP(cons(X2,X1))
    | nil != X1
    | ~ ssList(X1)
    | ~ ssItem(X2) ),
    inference(split_conjunct,[status(thm)],[i_0_117]),
    [final] ).

cnf(i_0_275,plain,
    ( totalorderedP(cons(X2,X1))
    | nil != X1
    | ~ ssList(X1)
    | ~ ssItem(X2) ),
    inference(split_conjunct,[status(thm)],[i_0_118]),
    [final] ).

cnf(i_0_276,plain,
    ( nil = X2
    | nil = X1
    | X2 = X1
    | ~ ssList(X1)
    | ~ ssList(X2)
    | hd(X2) != hd(X1)
    | tl(X2) != tl(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_148]),
    [final] ).

cnf(i_0_277,plain,
    ( tl(cons(X2,X1)) = X1
    | ~ ssList(X1)
    | ~ ssItem(X2) ),
    inference(split_conjunct,[status(thm)],[i_0_149]),
    [final] ).

cnf(i_0_278,plain,
    ( hd(cons(X2,X1)) = X2
    | ~ ssList(X1)
    | ~ ssItem(X2) ),
    inference(split_conjunct,[status(thm)],[i_0_150]),
    [final] ).

cnf(i_0_279,plain,
    ( ssList(app(X1,X2))
    | ~ ssList(X1)
    | ~ ssList(X2) ),
    inference(split_conjunct,[status(thm)],[i_0_151]),
    [final] ).

cnf(i_0_280,plain,
    ( ssList(cons(X2,X1))
    | ~ ssList(X1)
    | ~ ssItem(X2) ),
    inference(split_conjunct,[status(thm)],[i_0_152]),
    [final] ).

cnf(i_0_281,plain,
    ( ~ neq(X1,X2)
    | X1 != X2
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_153]),
    [final] ).

cnf(i_0_282,plain,
    ( X1 != X2
    | ~ lt(X1,X2)
    | ~ ssItem(X2)
    | ~ ssItem(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_143]),
    [final] ).

cnf(i_0_283,plain,
    ( ~ neq(X1,X2)
    | X1 != X2
    | ~ ssItem(X2)
    | ~ ssItem(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_154]),
    [final] ).

cnf(i_0_284,plain,
    ( singletonP(X2)
    | ~ ssItem(X1)
    | cons(X1,nil) != X2
    | ~ ssList(X2) ),
    inference(split_conjunct,[status(thm)],[i_0_155]),
    [final] ).

cnf(i_0_285,plain,
    ( nil = X1
    | nil != app(X1,X2)
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_156]),
    [final] ).

cnf(i_0_286,plain,
    ( nil = X1
    | nil != app(X2,X1)
    | ~ ssList(X1)
    | ~ ssList(X2) ),
    inference(split_conjunct,[status(thm)],[i_0_156]),
    [final] ).

cnf(i_0_287,plain,
    ( leq(esk11_1(X1),esk10_1(X1))
    | cyclefreeP(X1)
    | ~ ssList(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_102]),
    [final] ).

cnf(i_0_288,plain,
    ( leq(esk10_1(X1),esk11_1(X1))
    | cyclefreeP(X1)
    | ~ ssList(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_102]),
    [final] ).

cnf(i_0_289,plain,
    ( ~ ssList(X1)
    | ~ ssItem(X2)
    | cons(X2,X1) != X1 ),
    inference(split_conjunct,[status(thm)],[i_0_157]),
    [final] ).

cnf(i_0_290,plain,
    ( ~ ssList(X1)
    | ~ ssItem(X2)
    | nil != cons(X2,X1) ),
    inference(split_conjunct,[status(thm)],[i_0_158]),
    [final] ).

cnf(i_0_291,plain,
    ( cons(esk45_1(X1),esk44_1(X1)) = X1
    | nil = X1
    | ~ ssList(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_159]),
    [final] ).

cnf(i_0_292,plain,
    ( nil = X1
    | cons(hd(X1),tl(X1)) = X1
    | ~ ssList(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_160]),
    [final] ).

cnf(i_0_293,plain,
    ( equalelemsP(cons(X1,nil))
    | ~ ssItem(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_161]),
    [final] ).

cnf(i_0_294,plain,
    ( duplicatefreeP(cons(X1,nil))
    | ~ ssItem(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_162]),
    [final] ).

cnf(i_0_295,plain,
    ( strictorderedP(cons(X1,nil))
    | ~ ssItem(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_163]),
    [final] ).

cnf(i_0_296,plain,
    ( totalorderedP(cons(X1,nil))
    | ~ ssItem(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_164]),
    [final] ).

cnf(i_0_297,plain,
    ( strictorderP(cons(X1,nil))
    | ~ ssItem(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_165]),
    [final] ).

cnf(i_0_298,plain,
    ( totalorderP(cons(X1,nil))
    | ~ ssItem(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_166]),
    [final] ).

cnf(i_0_299,plain,
    ( cyclefreeP(cons(X1,nil))
    | ~ ssItem(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_167]),
    [final] ).

cnf(i_0_300,plain,
    ( cons(esk5_1(X1),nil) = X1
    | ~ singletonP(X1)
    | ~ ssList(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_155]),
    [final] ).

cnf(i_0_301,plain,
    ( nil = app(X2,X1)
    | nil != X1
    | nil != X2
    | ~ ssList(X1)
    | ~ ssList(X2) ),
    inference(split_conjunct,[status(thm)],[i_0_156]),
    [final] ).

cnf(i_0_302,plain,
    ( X1 = X2
    | neq(X1,X2)
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_153]),
    [final] ).

cnf(i_0_303,plain,
    ( X1 = X2
    | neq(X1,X2)
    | ~ ssItem(X2)
    | ~ ssItem(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_154]),
    [final] ).

cnf(i_0_304,plain,
    ( ~ ssItem(X1)
    | ~ lt(X1,X1) ),
    inference(split_conjunct,[status(thm)],[i_0_168]),
    [final] ).

cnf(i_0_305,plain,
    ( nil = X1
    | ~ segmentP(nil,X1)
    | ~ ssList(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_169]),
    [final] ).

cnf(i_0_306,plain,
    ( nil = X1
    | ~ rearsegP(nil,X1)
    | ~ ssList(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_170]),
    [final] ).

cnf(i_0_307,plain,
    ( nil = X1
    | ~ frontsegP(nil,X1)
    | ~ ssList(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_171]),
    [final] ).

cnf(i_0_308,plain,
    ( ~ ssItem(X1)
    | ~ memberP(nil,X1) ),
    inference(split_conjunct,[status(thm)],[i_0_172]),
    [final] ).

cnf(i_0_309,plain,
    ( ssItem(esk5_1(X1))
    | ~ singletonP(X1)
    | ~ ssList(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_155]),
    [final] ).

cnf(i_0_310,plain,
    ( equalelemsP(X1)
    | esk40_1(X1) != esk41_1(X1)
    | ~ ssList(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_108]),
    [final] ).

cnf(i_0_311,plain,
    ( segmentP(nil,X1)
    | nil != X1
    | ~ ssList(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_169]),
    [final] ).

cnf(i_0_312,plain,
    ( rearsegP(nil,X1)
    | nil != X1
    | ~ ssList(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_170]),
    [final] ).

cnf(i_0_313,plain,
    ( frontsegP(nil,X1)
    | nil != X1
    | ~ ssList(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_171]),
    [final] ).

cnf(i_0_314,plain,
    ( ssList(esk43_1(X1))
    | equalelemsP(X1)
    | ~ ssList(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_108]),
    [final] ).

cnf(i_0_315,plain,
    ( ssList(esk42_1(X1))
    | equalelemsP(X1)
    | ~ ssList(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_108]),
    [final] ).

cnf(i_0_316,plain,
    ( ssItem(esk41_1(X1))
    | equalelemsP(X1)
    | ~ ssList(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_108]),
    [final] ).

cnf(i_0_317,plain,
    ( ssItem(esk40_1(X1))
    | equalelemsP(X1)
    | ~ ssList(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_108]),
    [final] ).

cnf(i_0_318,plain,
    ( ssList(esk39_1(X1))
    | duplicatefreeP(X1)
    | ~ ssList(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_107]),
    [final] ).

cnf(i_0_319,plain,
    ( ssList(esk38_1(X1))
    | duplicatefreeP(X1)
    | ~ ssList(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_107]),
    [final] ).

cnf(i_0_320,plain,
    ( ssList(esk37_1(X1))
    | duplicatefreeP(X1)
    | ~ ssList(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_107]),
    [final] ).

cnf(i_0_321,plain,
    ( ssItem(esk36_1(X1))
    | duplicatefreeP(X1)
    | ~ ssList(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_107]),
    [final] ).

cnf(i_0_322,plain,
    ( ssItem(esk35_1(X1))
    | duplicatefreeP(X1)
    | ~ ssList(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_107]),
    [final] ).

cnf(i_0_323,plain,
    ( ssList(esk34_1(X1))
    | strictorderedP(X1)
    | ~ ssList(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_105]),
    [final] ).

cnf(i_0_324,plain,
    ( ssList(esk33_1(X1))
    | strictorderedP(X1)
    | ~ ssList(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_105]),
    [final] ).

cnf(i_0_325,plain,
    ( ssList(esk32_1(X1))
    | strictorderedP(X1)
    | ~ ssList(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_105]),
    [final] ).

cnf(i_0_326,plain,
    ( ssItem(esk31_1(X1))
    | strictorderedP(X1)
    | ~ ssList(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_105]),
    [final] ).

cnf(i_0_327,plain,
    ( ssItem(esk30_1(X1))
    | strictorderedP(X1)
    | ~ ssList(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_105]),
    [final] ).

cnf(i_0_328,plain,
    ( ssList(esk29_1(X1))
    | totalorderedP(X1)
    | ~ ssList(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_106]),
    [final] ).

cnf(i_0_329,plain,
    ( ssList(esk28_1(X1))
    | totalorderedP(X1)
    | ~ ssList(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_106]),
    [final] ).

cnf(i_0_330,plain,
    ( ssList(esk27_1(X1))
    | totalorderedP(X1)
    | ~ ssList(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_106]),
    [final] ).

cnf(i_0_331,plain,
    ( ssItem(esk26_1(X1))
    | totalorderedP(X1)
    | ~ ssList(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_106]),
    [final] ).

cnf(i_0_332,plain,
    ( ssItem(esk25_1(X1))
    | totalorderedP(X1)
    | ~ ssList(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_106]),
    [final] ).

cnf(i_0_333,plain,
    ( ssList(esk24_1(X1))
    | strictorderP(X1)
    | ~ ssList(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_103]),
    [final] ).

cnf(i_0_334,plain,
    ( ssList(esk23_1(X1))
    | strictorderP(X1)
    | ~ ssList(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_103]),
    [final] ).

cnf(i_0_335,plain,
    ( ssList(esk22_1(X1))
    | strictorderP(X1)
    | ~ ssList(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_103]),
    [final] ).

cnf(i_0_336,plain,
    ( ssItem(esk21_1(X1))
    | strictorderP(X1)
    | ~ ssList(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_103]),
    [final] ).

cnf(i_0_337,plain,
    ( ssItem(esk20_1(X1))
    | strictorderP(X1)
    | ~ ssList(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_103]),
    [final] ).

cnf(i_0_338,plain,
    ( ssList(esk19_1(X1))
    | totalorderP(X1)
    | ~ ssList(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_104]),
    [final] ).

cnf(i_0_339,plain,
    ( ssList(esk18_1(X1))
    | totalorderP(X1)
    | ~ ssList(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_104]),
    [final] ).

cnf(i_0_340,plain,
    ( ssList(esk17_1(X1))
    | totalorderP(X1)
    | ~ ssList(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_104]),
    [final] ).

cnf(i_0_341,plain,
    ( ssItem(esk16_1(X1))
    | totalorderP(X1)
    | ~ ssList(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_104]),
    [final] ).

cnf(i_0_342,plain,
    ( ssItem(esk15_1(X1))
    | totalorderP(X1)
    | ~ ssList(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_104]),
    [final] ).

cnf(i_0_343,plain,
    ( ssList(esk14_1(X1))
    | cyclefreeP(X1)
    | ~ ssList(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_102]),
    [final] ).

cnf(i_0_344,plain,
    ( ssList(esk13_1(X1))
    | cyclefreeP(X1)
    | ~ ssList(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_102]),
    [final] ).

cnf(i_0_345,plain,
    ( ssList(esk12_1(X1))
    | cyclefreeP(X1)
    | ~ ssList(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_102]),
    [final] ).

cnf(i_0_346,plain,
    ( ssItem(esk11_1(X1))
    | cyclefreeP(X1)
    | ~ ssList(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_102]),
    [final] ).

cnf(i_0_347,plain,
    ( ssItem(esk10_1(X1))
    | cyclefreeP(X1)
    | ~ ssList(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_102]),
    [final] ).

cnf(i_0_348,plain,
    ( geq(X1,X1)
    | ~ ssItem(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_173]),
    [final] ).

cnf(i_0_349,plain,
    ( leq(X1,X1)
    | ~ ssItem(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_174]),
    [final] ).

cnf(i_0_350,plain,
    ( segmentP(X1,X1)
    | ~ ssList(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_175]),
    [final] ).

cnf(i_0_351,plain,
    ( rearsegP(X1,X1)
    | ~ ssList(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_176]),
    [final] ).

cnf(i_0_352,plain,
    ( frontsegP(X1,X1)
    | ~ ssList(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_177]),
    [final] ).

cnf(i_0_353,plain,
    ( app(nil,X1) = X1
    | ~ ssList(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_178]),
    [final] ).

cnf(i_0_354,plain,
    ( app(X1,nil) = X1
    | ~ ssList(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_179]),
    [final] ).

cnf(i_0_355,plain,
    ( esk35_1(X1) = esk36_1(X1)
    | duplicatefreeP(X1)
    | ~ ssList(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_107]),
    [final] ).

cnf(i_0_356,plain,
    ( segmentP(X1,nil)
    | ~ ssList(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_180]),
    [final] ).

cnf(i_0_357,plain,
    ( rearsegP(X1,nil)
    | ~ ssList(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_181]),
    [final] ).

cnf(i_0_358,plain,
    ( frontsegP(X1,nil)
    | ~ ssList(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_182]),
    [final] ).

cnf(i_0_359,plain,
    ( ssList(esk47_1(X1))
    | nil = X1
    | ~ ssList(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_183]),
    [final] ).

cnf(i_0_360,plain,
    ( ssList(esk44_1(X1))
    | nil = X1
    | ~ ssList(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_159]),
    [final] ).

cnf(i_0_361,plain,
    ( nil = X1
    | ssList(tl(X1))
    | ~ ssList(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_184]),
    [final] ).

cnf(i_0_362,plain,
    ( ssItem(esk46_1(X1))
    | nil = X1
    | ~ ssList(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_185]),
    [final] ).

cnf(i_0_363,plain,
    ( ssItem(esk45_1(X1))
    | nil = X1
    | ~ ssList(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_159]),
    [final] ).

cnf(i_0_364,plain,
    ( nil = X1
    | ssItem(hd(X1))
    | ~ ssList(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_186]),
    [final] ).

cnf(i_0_365,plain,
    ( tl(X1) = esk47_1(X1)
    | nil = X1
    | ~ ssList(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_183]),
    [final] ).

cnf(i_0_366,plain,
    ( hd(X1) = esk46_1(X1)
    | nil = X1
    | ~ ssList(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_185]),
    [final] ).

cnf(i_0_367,negated_conjecture,
    neq(esk49_0,nil),
    inference(split_conjunct,[status(thm)],[i_0_101]),
    [final] ).

cnf(i_0_368,plain,
    ~ singletonP(nil),
    inference(split_conjunct,[status(thm)],[i_0_187]),
    [final] ).

cnf(i_0_369,plain,
    equalelemsP(nil),
    inference(split_conjunct,[status(thm)],[ax74]),
    [final] ).

cnf(i_0_370,plain,
    duplicatefreeP(nil),
    inference(split_conjunct,[status(thm)],[ax72]),
    [final] ).

cnf(i_0_371,plain,
    strictorderedP(nil),
    inference(split_conjunct,[status(thm)],[ax69]),
    [final] ).

cnf(i_0_372,plain,
    totalorderedP(nil),
    inference(split_conjunct,[status(thm)],[ax66]),
    [final] ).

cnf(i_0_373,plain,
    strictorderP(nil),
    inference(split_conjunct,[status(thm)],[ax64]),
    [final] ).

cnf(i_0_374,plain,
    totalorderP(nil),
    inference(split_conjunct,[status(thm)],[ax62]),
    [final] ).

cnf(i_0_375,plain,
    cyclefreeP(nil),
    inference(split_conjunct,[status(thm)],[ax60]),
    [final] ).

cnf(i_0_376,negated_conjecture,
    ssList(esk51_0),
    inference(split_conjunct,[status(thm)],[i_0_101]),
    [final] ).

cnf(i_0_377,negated_conjecture,
    ssList(esk50_0),
    inference(split_conjunct,[status(thm)],[i_0_101]),
    [final] ).

cnf(i_0_378,negated_conjecture,
    ssList(esk49_0),
    inference(split_conjunct,[status(thm)],[i_0_101]),
    [final] ).

cnf(i_0_379,negated_conjecture,
    ssList(esk48_0),
    inference(split_conjunct,[status(thm)],[i_0_101]),
    [final] ).

cnf(i_0_380,plain,
    ssList(nil),
    inference(split_conjunct,[status(thm)],[ax17]),
    [final] ).

cnf(i_0_381,plain,
    ssItem(esk2_0),
    inference(split_conjunct,[status(thm)],[i_0_188]),
    [final] ).

cnf(i_0_382,plain,
    ssItem(esk1_0),
    inference(split_conjunct,[status(thm)],[i_0_188]),
    [final] ).

cnf(i_0_383,negated_conjecture,
    ( nil = esk50_0
    | nil != esk51_0 ),
    inference(split_conjunct,[status(thm)],[i_0_101]),
    [final] ).

cnf(i_0_384,plain,
    esk1_0 != esk2_0,
    inference(split_conjunct,[status(thm)],[i_0_188]),
    [final] ).

cnf(i_0_385,negated_conjecture,
    esk49_0 = esk51_0,
    inference(split_conjunct,[status(thm)],[i_0_101]),
    [final] ).

cnf(i_0_386,negated_conjecture,
    esk48_0 = esk50_0,
    inference(split_conjunct,[status(thm)],[i_0_101]),
    [final] ).

cnf(i_0_387,axiom,
    X1 = X1 ).

cnf(i_0_388,axiom,
    ( X1 = X2
    | X2 != X1 ) ).

cnf(i_0_389,axiom,
    ( X1 = X2
    | X1 != X3
    | X3 != X2 ) ).

cnf(i_0_390,axiom,
    ( X1 != X2
    | app(X1,X3) = app(X2,X3) ) ).

cnf(i_0_391,axiom,
    ( X1 != X2
    | app(X3,X1) = app(X3,X2) ) ).

cnf(i_0_392,axiom,
    ( X1 != X2
    | cons(X1,X3) = cons(X2,X3) ) ).

cnf(i_0_393,axiom,
    ( X1 != X2
    | cons(X3,X1) = cons(X3,X2) ) ).

cnf(i_0_394,axiom,
    ( X1 != X2
    | esk40_1(X1) = esk40_1(X2) ) ).

cnf(i_0_395,axiom,
    ( X1 != X2
    | esk41_1(X1) = esk41_1(X2) ) ).

cnf(i_0_396,axiom,
    ( X1 != X2
    | esk35_1(X1) = esk35_1(X2) ) ).

cnf(i_0_397,axiom,
    ( X1 != X2
    | hd(X1) = hd(X2) ) ).

cnf(i_0_398,axiom,
    ( X1 != X2
    | tl(X1) = tl(X2) ) ).

cnf(i_0_399,axiom,
    ( X1 != X2
    | esk47_1(X1) = esk47_1(X2) ) ).

cnf(i_0_400,axiom,
    ( X1 != X2
    | esk46_1(X1) = esk46_1(X2) ) ).

cnf(i_0_401,axiom,
    ( X1 != X2
    | esk36_1(X1) = esk36_1(X2) ) ).

cnf(i_0_402,axiom,
    ( X1 != X2
    | ~ ssItem(X1)
    | ssItem(X2) ) ).

cnf(i_0_403,axiom,
    ( X1 != X2
    | ~ duplicatefreeP(X1)
    | duplicatefreeP(X2) ) ).

cnf(i_0_404,axiom,
    ( X1 != X2
    | ~ equalelemsP(X1)
    | equalelemsP(X2) ) ).

cnf(i_0_405,axiom,
    ( X1 != X2
    | ~ segmentP(X1,X3)
    | segmentP(X2,X3) ) ).

cnf(i_0_406,axiom,
    ( X1 != X2
    | ~ segmentP(X3,X1)
    | segmentP(X3,X2) ) ).

cnf(i_0_407,axiom,
    ( X1 != X2
    | ~ memberP(X1,X3)
    | memberP(X2,X3) ) ).

cnf(i_0_408,axiom,
    ( X1 != X2
    | ~ memberP(X3,X1)
    | memberP(X3,X2) ) ).

cnf(i_0_409,axiom,
    ( X1 != X2
    | ~ frontsegP(X1,X3)
    | frontsegP(X2,X3) ) ).

cnf(i_0_410,axiom,
    ( X1 != X2
    | ~ frontsegP(X3,X1)
    | frontsegP(X3,X2) ) ).

cnf(i_0_411,axiom,
    ( X1 != X2
    | ~ rearsegP(X1,X3)
    | rearsegP(X2,X3) ) ).

cnf(i_0_412,axiom,
    ( X1 != X2
    | ~ rearsegP(X3,X1)
    | rearsegP(X3,X2) ) ).

cnf(i_0_413,axiom,
    ( X1 != X2
    | ~ gt(X1,X3)
    | gt(X2,X3) ) ).

cnf(i_0_414,axiom,
    ( X1 != X2
    | ~ gt(X3,X1)
    | gt(X3,X2) ) ).

cnf(i_0_415,axiom,
    ( X1 != X2
    | ~ geq(X1,X3)
    | geq(X2,X3) ) ).

cnf(i_0_416,axiom,
    ( X1 != X2
    | ~ geq(X3,X1)
    | geq(X3,X2) ) ).

cnf(i_0_417,axiom,
    ( X1 != X2
    | ~ neq(X1,X3)
    | neq(X2,X3) ) ).

cnf(i_0_418,axiom,
    ( X1 != X2
    | ~ neq(X3,X1)
    | neq(X3,X2) ) ).

cnf(i_0_419,axiom,
    ( X1 != X2
    | ~ singletonP(X1)
    | singletonP(X2) ) ).

cnf(i_0_420,axiom,
    ( X1 != X2
    | ~ ssList(X1)
    | ssList(X2) ) ).

cnf(i_0_421,axiom,
    ( X1 != X2
    | ~ cyclefreeP(X1)
    | cyclefreeP(X2) ) ).

cnf(i_0_422,axiom,
    ( X1 != X2
    | ~ leq(X1,X3)
    | leq(X2,X3) ) ).

cnf(i_0_423,axiom,
    ( X1 != X2
    | ~ leq(X3,X1)
    | leq(X3,X2) ) ).

cnf(i_0_424,axiom,
    ( X1 != X2
    | ~ lt(X1,X3)
    | lt(X2,X3) ) ).

cnf(i_0_425,axiom,
    ( X1 != X2
    | ~ lt(X3,X1)
    | lt(X3,X2) ) ).

cnf(i_0_426,axiom,
    ( X1 != X2
    | ~ strictorderP(X1)
    | strictorderP(X2) ) ).

cnf(i_0_427,axiom,
    ( X1 != X2
    | ~ totalorderP(X1)
    | totalorderP(X2) ) ).

cnf(i_0_428,axiom,
    ( X1 != X2
    | ~ strictorderedP(X1)
    | strictorderedP(X2) ) ).

cnf(i_0_429,axiom,
    ( X1 != X2
    | ~ totalorderedP(X1)
    | totalorderedP(X2) ) ).

cnf(i_0_2663,plain,
    ~ memberP(nil,hd(esk51_0)),
    inference(scs_inference,[],[i_0_2273,i_0_304,i_0_308]) ).

cnf(i_0_2665,plain,
    equalelemsP(cons(hd(esk51_0),nil)),
    inference(scs_inference,[],[i_0_2273,i_0_304,i_0_308,i_0_293]) ).

cnf(i_0_2667,plain,
    duplicatefreeP(cons(hd(esk51_0),nil)),
    inference(scs_inference,[],[i_0_2273,i_0_304,i_0_308,i_0_293,i_0_294]) ).

cnf(i_0_2669,plain,
    strictorderedP(cons(hd(esk51_0),nil)),
    inference(scs_inference,[],[i_0_2273,i_0_304,i_0_308,i_0_293,i_0_294,i_0_295]) ).

cnf(i_0_2671,plain,
    totalorderedP(cons(hd(esk51_0),nil)),
    inference(scs_inference,[],[i_0_2273,i_0_304,i_0_308,i_0_293,i_0_294,i_0_295,i_0_296]) ).

cnf(i_0_2673,plain,
    strictorderP(cons(hd(esk51_0),nil)),
    inference(scs_inference,[],[i_0_2273,i_0_304,i_0_308,i_0_293,i_0_294,i_0_295,i_0_296,i_0_297]) ).

cnf(i_0_2675,plain,
    totalorderP(cons(hd(esk51_0),nil)),
    inference(scs_inference,[],[i_0_2273,i_0_304,i_0_308,i_0_293,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298]) ).

cnf(i_0_2677,plain,
    cyclefreeP(cons(hd(esk51_0),nil)),
    inference(scs_inference,[],[i_0_2273,i_0_304,i_0_308,i_0_293,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299]) ).

cnf(i_0_2679,plain,
    segmentP(esk44_1(esk49_0),nil),
    inference(scs_inference,[],[i_0_1881,i_0_2273,i_0_304,i_0_308,i_0_293,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299,i_0_356]) ).

cnf(i_0_2681,plain,
    app(nil,esk44_1(esk49_0)) = esk44_1(esk49_0),
    inference(scs_inference,[],[i_0_1881,i_0_2273,i_0_304,i_0_308,i_0_293,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299,i_0_356,i_0_353]) ).

cnf(i_0_2683,plain,
    app(esk44_1(esk49_0),nil) = esk44_1(esk49_0),
    inference(scs_inference,[],[i_0_1881,i_0_2273,i_0_304,i_0_308,i_0_293,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299,i_0_356,i_0_353,i_0_354]) ).

cnf(i_0_2685,plain,
    rearsegP(esk44_1(esk49_0),nil),
    inference(scs_inference,[],[i_0_1881,i_0_2273,i_0_304,i_0_308,i_0_293,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299,i_0_356,i_0_353,i_0_354,i_0_357]) ).

cnf(i_0_2687,plain,
    frontsegP(esk44_1(esk49_0),nil),
    inference(scs_inference,[],[i_0_1881,i_0_2273,i_0_304,i_0_308,i_0_293,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299,i_0_356,i_0_353,i_0_354,i_0_357,i_0_358]) ).

cnf(i_0_2689,plain,
    app(esk41_1(esk50_0),X1) = app(esk41_1(esk48_0),X1),
    inference(scs_inference,[],[i_0_1825,i_0_1881,i_0_2273,i_0_304,i_0_308,i_0_293,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299,i_0_356,i_0_353,i_0_354,i_0_357,i_0_358,i_0_390]) ).

cnf(i_0_2690,plain,
    app(X1,esk41_1(esk50_0)) = app(X1,esk41_1(esk48_0)),
    inference(scs_inference,[],[i_0_1825,i_0_1881,i_0_2273,i_0_304,i_0_308,i_0_293,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299,i_0_356,i_0_353,i_0_354,i_0_357,i_0_358,i_0_390,i_0_391]) ).

cnf(i_0_2691,plain,
    cons(esk41_1(esk50_0),X1) = cons(esk41_1(esk48_0),X1),
    inference(scs_inference,[],[i_0_1825,i_0_1881,i_0_2273,i_0_304,i_0_308,i_0_293,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299,i_0_356,i_0_353,i_0_354,i_0_357,i_0_358,i_0_390,i_0_391,i_0_392]) ).

cnf(i_0_2692,plain,
    cons(X1,esk41_1(esk50_0)) = cons(X1,esk41_1(esk48_0)),
    inference(scs_inference,[],[i_0_1825,i_0_1881,i_0_2273,i_0_304,i_0_308,i_0_293,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299,i_0_356,i_0_353,i_0_354,i_0_357,i_0_358,i_0_390,i_0_391,i_0_392,i_0_393]) ).

cnf(i_0_2693,plain,
    esk40_1(esk41_1(esk50_0)) = esk40_1(esk41_1(esk48_0)),
    inference(scs_inference,[],[i_0_1825,i_0_1881,i_0_2273,i_0_304,i_0_308,i_0_293,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299,i_0_356,i_0_353,i_0_354,i_0_357,i_0_358,i_0_390,i_0_391,i_0_392,i_0_393,i_0_394]) ).

cnf(i_0_2694,plain,
    esk41_1(esk41_1(esk50_0)) = esk41_1(esk41_1(esk48_0)),
    inference(scs_inference,[],[i_0_1825,i_0_1881,i_0_2273,i_0_304,i_0_308,i_0_293,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299,i_0_356,i_0_353,i_0_354,i_0_357,i_0_358,i_0_390,i_0_391,i_0_392,i_0_393,i_0_394,i_0_395]) ).

cnf(i_0_2695,plain,
    esk35_1(esk41_1(esk50_0)) = esk35_1(esk41_1(esk48_0)),
    inference(scs_inference,[],[i_0_1825,i_0_1881,i_0_2273,i_0_304,i_0_308,i_0_293,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299,i_0_356,i_0_353,i_0_354,i_0_357,i_0_358,i_0_390,i_0_391,i_0_392,i_0_393,i_0_394,i_0_395,i_0_396]) ).

cnf(i_0_2696,plain,
    hd(esk41_1(esk50_0)) = hd(esk41_1(esk48_0)),
    inference(scs_inference,[],[i_0_1825,i_0_1881,i_0_2273,i_0_304,i_0_308,i_0_293,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299,i_0_356,i_0_353,i_0_354,i_0_357,i_0_358,i_0_390,i_0_391,i_0_392,i_0_393,i_0_394,i_0_395,i_0_396,i_0_397]) ).

cnf(i_0_2697,plain,
    tl(esk41_1(esk50_0)) = tl(esk41_1(esk48_0)),
    inference(scs_inference,[],[i_0_1825,i_0_1881,i_0_2273,i_0_304,i_0_308,i_0_293,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299,i_0_356,i_0_353,i_0_354,i_0_357,i_0_358,i_0_390,i_0_391,i_0_392,i_0_393,i_0_394,i_0_395,i_0_396,i_0_397,i_0_398]) ).

cnf(i_0_2698,plain,
    esk47_1(esk41_1(esk50_0)) = esk47_1(esk41_1(esk48_0)),
    inference(scs_inference,[],[i_0_1825,i_0_1881,i_0_2273,i_0_304,i_0_308,i_0_293,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299,i_0_356,i_0_353,i_0_354,i_0_357,i_0_358,i_0_390,i_0_391,i_0_392,i_0_393,i_0_394,i_0_395,i_0_396,i_0_397,i_0_398,i_0_399]) ).

cnf(i_0_2699,plain,
    esk46_1(esk41_1(esk50_0)) = esk46_1(esk41_1(esk48_0)),
    inference(scs_inference,[],[i_0_1825,i_0_1881,i_0_2273,i_0_304,i_0_308,i_0_293,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299,i_0_356,i_0_353,i_0_354,i_0_357,i_0_358,i_0_390,i_0_391,i_0_392,i_0_393,i_0_394,i_0_395,i_0_396,i_0_397,i_0_398,i_0_399,i_0_400]) ).

cnf(i_0_2700,plain,
    esk36_1(esk41_1(esk50_0)) = esk36_1(esk41_1(esk48_0)),
    inference(scs_inference,[],[i_0_1825,i_0_1881,i_0_2273,i_0_304,i_0_308,i_0_293,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299,i_0_356,i_0_353,i_0_354,i_0_357,i_0_358,i_0_390,i_0_391,i_0_392,i_0_393,i_0_394,i_0_395,i_0_396,i_0_397,i_0_398,i_0_399,i_0_400,i_0_401]) ).

cnf(i_0_2701,plain,
    app(nil,esk49_0) != app(nil,nil),
    inference(scs_inference,[],[i_0_2007,i_0_1825,i_0_1881,i_0_2273,i_0_304,i_0_308,i_0_293,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299,i_0_356,i_0_353,i_0_354,i_0_357,i_0_358,i_0_390,i_0_391,i_0_392,i_0_393,i_0_394,i_0_395,i_0_396,i_0_397,i_0_398,i_0_399,i_0_400,i_0_401,i_0_388]) ).

cnf(i_0_2702,plain,
    cons(hd(esk51_0),esk44_1(esk49_0)) != esk44_1(esk49_0),
    inference(scs_inference,[],[i_0_2007,i_0_1825,i_0_1881,i_0_2273,i_0_304,i_0_308,i_0_293,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299,i_0_356,i_0_353,i_0_354,i_0_357,i_0_358,i_0_390,i_0_391,i_0_392,i_0_393,i_0_394,i_0_395,i_0_396,i_0_397,i_0_398,i_0_399,i_0_400,i_0_401,i_0_388,i_0_289]) ).

cnf(i_0_3040,plain,
    app(app(esk50_0,esk50_0),X1) = app(app(esk48_0,esk48_0),X1),
    inference(rename_variables,[],[i_0_2237]) ).

cnf(i_0_3357,plain,
    ~ lt(esk5_1(app(cons(esk1_0,nil),nil)),esk5_1(app(cons(esk1_0,nil),nil))),
    inference(scs_inference,[],[i_0_2251,i_0_304]) ).

cnf(i_0_3359,plain,
    ~ memberP(nil,esk5_1(app(cons(esk1_0,nil),nil))),
    inference(scs_inference,[],[i_0_2251,i_0_304,i_0_308]) ).

cnf(i_0_3361,plain,
    equalelemsP(cons(esk5_1(app(cons(esk1_0,nil),nil)),nil)),
    inference(scs_inference,[],[i_0_2251,i_0_304,i_0_308,i_0_293]) ).

cnf(i_0_3363,plain,
    duplicatefreeP(cons(esk5_1(app(cons(esk1_0,nil),nil)),nil)),
    inference(scs_inference,[],[i_0_2251,i_0_304,i_0_308,i_0_293,i_0_294]) ).

cnf(i_0_3365,plain,
    strictorderedP(cons(esk5_1(app(cons(esk1_0,nil),nil)),nil)),
    inference(scs_inference,[],[i_0_2251,i_0_304,i_0_308,i_0_293,i_0_294,i_0_295]) ).

cnf(i_0_3367,plain,
    totalorderedP(cons(esk5_1(app(cons(esk1_0,nil),nil)),nil)),
    inference(scs_inference,[],[i_0_2251,i_0_304,i_0_308,i_0_293,i_0_294,i_0_295,i_0_296]) ).

cnf(i_0_3369,plain,
    strictorderP(cons(esk5_1(app(cons(esk1_0,nil),nil)),nil)),
    inference(scs_inference,[],[i_0_2251,i_0_304,i_0_308,i_0_293,i_0_294,i_0_295,i_0_296,i_0_297]) ).

cnf(i_0_3371,plain,
    totalorderP(cons(esk5_1(app(cons(esk1_0,nil),nil)),nil)),
    inference(scs_inference,[],[i_0_2251,i_0_304,i_0_308,i_0_293,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298]) ).

cnf(i_0_3373,plain,
    cyclefreeP(cons(esk5_1(app(cons(esk1_0,nil),nil)),nil)),
    inference(scs_inference,[],[i_0_2251,i_0_304,i_0_308,i_0_293,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299]) ).

cnf(i_0_3375,plain,
    segmentP(esk6_2(esk51_0,esk51_0),nil),
    inference(scs_inference,[],[i_0_1922,i_0_2251,i_0_304,i_0_308,i_0_293,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299,i_0_356]) ).

cnf(i_0_3377,plain,
    app(nil,esk6_2(esk51_0,esk51_0)) = esk6_2(esk51_0,esk51_0),
    inference(scs_inference,[],[i_0_1922,i_0_2251,i_0_304,i_0_308,i_0_293,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299,i_0_356,i_0_353]) ).

cnf(i_0_3379,plain,
    app(esk6_2(esk51_0,esk51_0),nil) = esk6_2(esk51_0,esk51_0),
    inference(scs_inference,[],[i_0_1922,i_0_2251,i_0_304,i_0_308,i_0_293,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299,i_0_356,i_0_353,i_0_354]) ).

cnf(i_0_3381,plain,
    rearsegP(esk6_2(esk51_0,esk51_0),nil),
    inference(scs_inference,[],[i_0_1922,i_0_2251,i_0_304,i_0_308,i_0_293,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299,i_0_356,i_0_353,i_0_354,i_0_357]) ).

cnf(i_0_3383,plain,
    frontsegP(esk6_2(esk51_0,esk51_0),nil),
    inference(scs_inference,[],[i_0_1922,i_0_2251,i_0_304,i_0_308,i_0_293,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299,i_0_356,i_0_353,i_0_354,i_0_357,i_0_358]) ).

cnf(i_0_3385,plain,
    app(esk46_1(esk50_0),X1) = app(esk46_1(esk48_0),X1),
    inference(scs_inference,[],[i_0_1830,i_0_1922,i_0_2251,i_0_304,i_0_308,i_0_293,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299,i_0_356,i_0_353,i_0_354,i_0_357,i_0_358,i_0_390]) ).

cnf(i_0_3386,plain,
    app(X1,esk46_1(esk50_0)) = app(X1,esk46_1(esk48_0)),
    inference(scs_inference,[],[i_0_1830,i_0_1922,i_0_2251,i_0_304,i_0_308,i_0_293,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299,i_0_356,i_0_353,i_0_354,i_0_357,i_0_358,i_0_390,i_0_391]) ).

cnf(i_0_3387,plain,
    cons(esk46_1(esk50_0),X1) = cons(esk46_1(esk48_0),X1),
    inference(scs_inference,[],[i_0_1830,i_0_1922,i_0_2251,i_0_304,i_0_308,i_0_293,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299,i_0_356,i_0_353,i_0_354,i_0_357,i_0_358,i_0_390,i_0_391,i_0_392]) ).

cnf(i_0_3388,plain,
    cons(X1,esk46_1(esk50_0)) = cons(X1,esk46_1(esk48_0)),
    inference(scs_inference,[],[i_0_1830,i_0_1922,i_0_2251,i_0_304,i_0_308,i_0_293,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299,i_0_356,i_0_353,i_0_354,i_0_357,i_0_358,i_0_390,i_0_391,i_0_392,i_0_393]) ).

cnf(i_0_3389,plain,
    esk40_1(esk46_1(esk50_0)) = esk40_1(esk46_1(esk48_0)),
    inference(scs_inference,[],[i_0_1830,i_0_1922,i_0_2251,i_0_304,i_0_308,i_0_293,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299,i_0_356,i_0_353,i_0_354,i_0_357,i_0_358,i_0_390,i_0_391,i_0_392,i_0_393,i_0_394]) ).

cnf(i_0_3390,plain,
    esk41_1(esk46_1(esk50_0)) = esk41_1(esk46_1(esk48_0)),
    inference(scs_inference,[],[i_0_1830,i_0_1922,i_0_2251,i_0_304,i_0_308,i_0_293,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299,i_0_356,i_0_353,i_0_354,i_0_357,i_0_358,i_0_390,i_0_391,i_0_392,i_0_393,i_0_394,i_0_395]) ).

cnf(i_0_3391,plain,
    esk35_1(esk46_1(esk50_0)) = esk35_1(esk46_1(esk48_0)),
    inference(scs_inference,[],[i_0_1830,i_0_1922,i_0_2251,i_0_304,i_0_308,i_0_293,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299,i_0_356,i_0_353,i_0_354,i_0_357,i_0_358,i_0_390,i_0_391,i_0_392,i_0_393,i_0_394,i_0_395,i_0_396]) ).

cnf(i_0_3392,plain,
    hd(esk46_1(esk50_0)) = hd(esk46_1(esk48_0)),
    inference(scs_inference,[],[i_0_1830,i_0_1922,i_0_2251,i_0_304,i_0_308,i_0_293,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299,i_0_356,i_0_353,i_0_354,i_0_357,i_0_358,i_0_390,i_0_391,i_0_392,i_0_393,i_0_394,i_0_395,i_0_396,i_0_397]) ).

cnf(i_0_3393,plain,
    tl(esk46_1(esk50_0)) = tl(esk46_1(esk48_0)),
    inference(scs_inference,[],[i_0_1830,i_0_1922,i_0_2251,i_0_304,i_0_308,i_0_293,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299,i_0_356,i_0_353,i_0_354,i_0_357,i_0_358,i_0_390,i_0_391,i_0_392,i_0_393,i_0_394,i_0_395,i_0_396,i_0_397,i_0_398]) ).

cnf(i_0_3394,plain,
    esk47_1(esk46_1(esk50_0)) = esk47_1(esk46_1(esk48_0)),
    inference(scs_inference,[],[i_0_1830,i_0_1922,i_0_2251,i_0_304,i_0_308,i_0_293,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299,i_0_356,i_0_353,i_0_354,i_0_357,i_0_358,i_0_390,i_0_391,i_0_392,i_0_393,i_0_394,i_0_395,i_0_396,i_0_397,i_0_398,i_0_399]) ).

cnf(i_0_3395,plain,
    esk46_1(esk46_1(esk50_0)) = esk46_1(esk46_1(esk48_0)),
    inference(scs_inference,[],[i_0_1830,i_0_1922,i_0_2251,i_0_304,i_0_308,i_0_293,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299,i_0_356,i_0_353,i_0_354,i_0_357,i_0_358,i_0_390,i_0_391,i_0_392,i_0_393,i_0_394,i_0_395,i_0_396,i_0_397,i_0_398,i_0_399,i_0_400]) ).

cnf(i_0_3396,plain,
    esk36_1(esk46_1(esk50_0)) = esk36_1(esk46_1(esk48_0)),
    inference(scs_inference,[],[i_0_1830,i_0_1922,i_0_2251,i_0_304,i_0_308,i_0_293,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299,i_0_356,i_0_353,i_0_354,i_0_357,i_0_358,i_0_390,i_0_391,i_0_392,i_0_393,i_0_394,i_0_395,i_0_396,i_0_397,i_0_398,i_0_399,i_0_400,i_0_401]) ).

cnf(i_0_3397,plain,
    app(nil,nil) != app(cons(esk1_0,nil),nil),
    inference(scs_inference,[],[i_0_1830,i_0_1922,i_0_2365,i_0_2251,i_0_304,i_0_308,i_0_293,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299,i_0_356,i_0_353,i_0_354,i_0_357,i_0_358,i_0_390,i_0_391,i_0_392,i_0_393,i_0_394,i_0_395,i_0_396,i_0_397,i_0_398,i_0_399,i_0_400,i_0_401,i_0_388]) ).

cnf(i_0_3398,plain,
    cons(esk5_1(app(cons(esk1_0,nil),nil)),esk6_2(esk51_0,esk51_0)) != esk6_2(esk51_0,esk51_0),
    inference(scs_inference,[],[i_0_1830,i_0_1922,i_0_2365,i_0_2251,i_0_304,i_0_308,i_0_293,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299,i_0_356,i_0_353,i_0_354,i_0_357,i_0_358,i_0_390,i_0_391,i_0_392,i_0_393,i_0_394,i_0_395,i_0_396,i_0_397,i_0_398,i_0_399,i_0_400,i_0_401,i_0_388,i_0_289]) ).

cnf(i_0_2562,plain,
    cons(esk2_0,nil) != cons(esk1_0,esk49_0),
    inference(scs_inference,[],[i_0_2460,i_0_1824,i_0_1879,i_0_2271,i_0_304,i_0_308,i_0_293,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299,i_0_356,i_0_353,i_0_354,i_0_357,i_0_358,i_0_390,i_0_391,i_0_392,i_0_393,i_0_394,i_0_395,i_0_396,i_0_397,i_0_398,i_0_399,i_0_400,i_0_401,i_0_388]) ).

cnf(i_0_2563,plain,
    cons(esk45_1(esk51_0),esk47_1(esk49_0)) != esk47_1(esk49_0),
    inference(scs_inference,[],[i_0_2460,i_0_1824,i_0_1879,i_0_2271,i_0_304,i_0_308,i_0_293,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299,i_0_356,i_0_353,i_0_354,i_0_357,i_0_358,i_0_390,i_0_391,i_0_392,i_0_393,i_0_394,i_0_395,i_0_396,i_0_397,i_0_398,i_0_399,i_0_400,i_0_401,i_0_388,i_0_289]) ).

cnf(i_0_2565,plain,
    ~ frontsegP(nil,cons(esk46_1(esk51_0),esk8_2(nil,nil))),
    inference(scs_inference,[],[i_0_2460,i_0_1824,i_0_1879,i_0_2271,i_0_2451,i_0_2449,i_0_304,i_0_308,i_0_293,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299,i_0_356,i_0_353,i_0_354,i_0_357,i_0_358,i_0_390,i_0_391,i_0_392,i_0_393,i_0_394,i_0_395,i_0_396,i_0_397,i_0_398,i_0_399,i_0_400,i_0_401,i_0_388,i_0_289,i_0_307]) ).

cnf(i_0_2567,plain,
    ssList(esk47_1(cons(esk46_1(esk51_0),esk8_2(nil,nil)))),
    inference(scs_inference,[],[i_0_2460,i_0_1824,i_0_1879,i_0_2271,i_0_2451,i_0_2449,i_0_304,i_0_308,i_0_293,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299,i_0_356,i_0_353,i_0_354,i_0_357,i_0_358,i_0_390,i_0_391,i_0_392,i_0_393,i_0_394,i_0_395,i_0_396,i_0_397,i_0_398,i_0_399,i_0_400,i_0_401,i_0_388,i_0_289,i_0_307,i_0_359]) ).

cnf(i_0_2569,plain,
    ssList(esk44_1(cons(esk46_1(esk51_0),esk8_2(nil,nil)))),
    inference(scs_inference,[],[i_0_2460,i_0_1824,i_0_1879,i_0_2271,i_0_2451,i_0_2449,i_0_304,i_0_308,i_0_293,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299,i_0_356,i_0_353,i_0_354,i_0_357,i_0_358,i_0_390,i_0_391,i_0_392,i_0_393,i_0_394,i_0_395,i_0_396,i_0_397,i_0_398,i_0_399,i_0_400,i_0_401,i_0_388,i_0_289,i_0_307,i_0_359,i_0_360]) ).

cnf(i_0_2571,plain,
    ssList(tl(cons(esk46_1(esk51_0),esk8_2(nil,nil)))),
    inference(scs_inference,[],[i_0_2460,i_0_1824,i_0_1879,i_0_2271,i_0_2451,i_0_2449,i_0_304,i_0_308,i_0_293,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299,i_0_356,i_0_353,i_0_354,i_0_357,i_0_358,i_0_390,i_0_391,i_0_392,i_0_393,i_0_394,i_0_395,i_0_396,i_0_397,i_0_398,i_0_399,i_0_400,i_0_401,i_0_388,i_0_289,i_0_307,i_0_359,i_0_360,i_0_361]) ).

cnf(i_0_2573,plain,
    ssItem(esk46_1(cons(esk46_1(esk51_0),esk8_2(nil,nil)))),
    inference(scs_inference,[],[i_0_2460,i_0_1824,i_0_1879,i_0_2271,i_0_2451,i_0_2449,i_0_304,i_0_308,i_0_293,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299,i_0_356,i_0_353,i_0_354,i_0_357,i_0_358,i_0_390,i_0_391,i_0_392,i_0_393,i_0_394,i_0_395,i_0_396,i_0_397,i_0_398,i_0_399,i_0_400,i_0_401,i_0_388,i_0_289,i_0_307,i_0_359,i_0_360,i_0_361,i_0_362]) ).

cnf(i_0_2575,plain,
    ssItem(esk45_1(cons(esk46_1(esk51_0),esk8_2(nil,nil)))),
    inference(scs_inference,[],[i_0_2460,i_0_1824,i_0_1879,i_0_2271,i_0_2451,i_0_2449,i_0_304,i_0_308,i_0_293,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299,i_0_356,i_0_353,i_0_354,i_0_357,i_0_358,i_0_390,i_0_391,i_0_392,i_0_393,i_0_394,i_0_395,i_0_396,i_0_397,i_0_398,i_0_399,i_0_400,i_0_401,i_0_388,i_0_289,i_0_307,i_0_359,i_0_360,i_0_361,i_0_362,i_0_363]) ).

cnf(i_0_2577,plain,
    ssItem(hd(cons(esk46_1(esk51_0),esk8_2(nil,nil)))),
    inference(scs_inference,[],[i_0_2460,i_0_1824,i_0_1879,i_0_2271,i_0_2451,i_0_2449,i_0_304,i_0_308,i_0_293,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299,i_0_356,i_0_353,i_0_354,i_0_357,i_0_358,i_0_390,i_0_391,i_0_392,i_0_393,i_0_394,i_0_395,i_0_396,i_0_397,i_0_398,i_0_399,i_0_400,i_0_401,i_0_388,i_0_289,i_0_307,i_0_359,i_0_360,i_0_361,i_0_362,i_0_363,i_0_364]) ).

cnf(i_0_2579,plain,
    tl(cons(esk45_1(esk51_0),esk47_1(esk49_0))) = esk47_1(esk49_0),
    inference(scs_inference,[],[i_0_2460,i_0_1824,i_0_1879,i_0_2271,i_0_2451,i_0_2449,i_0_304,i_0_308,i_0_293,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299,i_0_356,i_0_353,i_0_354,i_0_357,i_0_358,i_0_390,i_0_391,i_0_392,i_0_393,i_0_394,i_0_395,i_0_396,i_0_397,i_0_398,i_0_399,i_0_400,i_0_401,i_0_388,i_0_289,i_0_307,i_0_359,i_0_360,i_0_361,i_0_362,i_0_363,i_0_364,i_0_277]) ).

cnf(i_0_2581,plain,
    hd(cons(esk45_1(esk51_0),esk47_1(esk49_0))) = esk45_1(esk51_0),
    inference(scs_inference,[],[i_0_2460,i_0_1824,i_0_1879,i_0_2271,i_0_2451,i_0_2449,i_0_304,i_0_308,i_0_293,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299,i_0_356,i_0_353,i_0_354,i_0_357,i_0_358,i_0_390,i_0_391,i_0_392,i_0_393,i_0_394,i_0_395,i_0_396,i_0_397,i_0_398,i_0_399,i_0_400,i_0_401,i_0_388,i_0_289,i_0_307,i_0_359,i_0_360,i_0_361,i_0_362,i_0_363,i_0_364,i_0_277,i_0_278]) ).

cnf(i_0_2587,plain,
    cons(esk45_1(esk51_0),esk47_1(esk49_0)) = app(cons(esk45_1(esk51_0),nil),esk47_1(esk49_0)),
    inference(scs_inference,[],[i_0_2460,i_0_1824,i_0_1879,i_0_2271,i_0_2451,i_0_2449,i_0_304,i_0_308,i_0_293,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299,i_0_356,i_0_353,i_0_354,i_0_357,i_0_358,i_0_390,i_0_391,i_0_392,i_0_393,i_0_394,i_0_395,i_0_396,i_0_397,i_0_398,i_0_399,i_0_400,i_0_401,i_0_388,i_0_289,i_0_307,i_0_359,i_0_360,i_0_361,i_0_362,i_0_363,i_0_364,i_0_277,i_0_278,i_0_291,i_0_292,i_0_250]) ).

cnf(i_0_2589,plain,
    ~ segmentP(nil,cons(esk46_1(esk51_0),esk8_2(nil,nil))),
    inference(scs_inference,[],[i_0_2460,i_0_1824,i_0_1879,i_0_2271,i_0_2451,i_0_2449,i_0_304,i_0_308,i_0_293,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299,i_0_356,i_0_353,i_0_354,i_0_357,i_0_358,i_0_390,i_0_391,i_0_392,i_0_393,i_0_394,i_0_395,i_0_396,i_0_397,i_0_398,i_0_399,i_0_400,i_0_401,i_0_388,i_0_289,i_0_307,i_0_359,i_0_360,i_0_361,i_0_362,i_0_363,i_0_364,i_0_277,i_0_278,i_0_291,i_0_292,i_0_250,i_0_305]) ).

cnf(i_0_2591,plain,
    ~ rearsegP(nil,cons(esk46_1(esk51_0),esk8_2(nil,nil))),
    inference(scs_inference,[],[i_0_2460,i_0_1824,i_0_1879,i_0_2271,i_0_2451,i_0_2449,i_0_304,i_0_308,i_0_293,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299,i_0_356,i_0_353,i_0_354,i_0_357,i_0_358,i_0_390,i_0_391,i_0_392,i_0_393,i_0_394,i_0_395,i_0_396,i_0_397,i_0_398,i_0_399,i_0_400,i_0_401,i_0_388,i_0_289,i_0_307,i_0_359,i_0_360,i_0_361,i_0_362,i_0_363,i_0_364,i_0_277,i_0_278,i_0_291,i_0_292,i_0_250,i_0_305,i_0_306]) ).

cnf(i_0_2593,plain,
    nil != cons(esk45_1(esk51_0),esk47_1(esk49_0)),
    inference(scs_inference,[],[i_0_2460,i_0_1824,i_0_1879,i_0_2271,i_0_2451,i_0_2449,i_0_304,i_0_308,i_0_293,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299,i_0_356,i_0_353,i_0_354,i_0_357,i_0_358,i_0_390,i_0_391,i_0_392,i_0_393,i_0_394,i_0_395,i_0_396,i_0_397,i_0_398,i_0_399,i_0_400,i_0_401,i_0_388,i_0_289,i_0_307,i_0_359,i_0_360,i_0_361,i_0_362,i_0_363,i_0_364,i_0_277,i_0_278,i_0_291,i_0_292,i_0_250,i_0_305,i_0_306,i_0_290]) ).

cnf(i_0_2595,plain,
    ssList(cons(esk45_1(esk51_0),esk47_1(esk49_0))),
    inference(scs_inference,[],[i_0_2460,i_0_1824,i_0_1879,i_0_2271,i_0_2451,i_0_2449,i_0_304,i_0_308,i_0_293,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299,i_0_356,i_0_353,i_0_354,i_0_357,i_0_358,i_0_390,i_0_391,i_0_392,i_0_393,i_0_394,i_0_395,i_0_396,i_0_397,i_0_398,i_0_399,i_0_400,i_0_401,i_0_388,i_0_289,i_0_307,i_0_359,i_0_360,i_0_361,i_0_362,i_0_363,i_0_364,i_0_277,i_0_278,i_0_291,i_0_292,i_0_250,i_0_305,i_0_306,i_0_290,i_0_280]) ).

cnf(i_0_2597,plain,
    ~ segmentP(nil,cons(hd(esk49_0),tl(esk49_0))),
    inference(scs_inference,[],[i_0_2460,i_0_1824,i_0_1879,i_0_2271,i_0_2451,i_0_2449,i_0_1899,i_0_1873,i_0_304,i_0_308,i_0_293,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299,i_0_356,i_0_353,i_0_354,i_0_357,i_0_358,i_0_390,i_0_391,i_0_392,i_0_393,i_0_394,i_0_395,i_0_396,i_0_397,i_0_398,i_0_399,i_0_400,i_0_401,i_0_388,i_0_289,i_0_307,i_0_359,i_0_360,i_0_361,i_0_362,i_0_363,i_0_364,i_0_277,i_0_278,i_0_291,i_0_292,i_0_250,i_0_305,i_0_306,i_0_290,i_0_280,i_0_406]) ).

cnf(i_0_2598,plain,
    ~ frontsegP(app(esk7_2(nil,nil),nil),esk51_0),
    inference(scs_inference,[],[i_0_2261,i_0_2460,i_0_1824,i_0_1879,i_0_2271,i_0_2451,i_0_2131,i_0_2449,i_0_1899,i_0_1873,i_0_304,i_0_308,i_0_293,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299,i_0_356,i_0_353,i_0_354,i_0_357,i_0_358,i_0_390,i_0_391,i_0_392,i_0_393,i_0_394,i_0_395,i_0_396,i_0_397,i_0_398,i_0_399,i_0_400,i_0_401,i_0_388,i_0_289,i_0_307,i_0_359,i_0_360,i_0_361,i_0_362,i_0_363,i_0_364,i_0_277,i_0_278,i_0_291,i_0_292,i_0_250,i_0_305,i_0_306,i_0_290,i_0_280,i_0_406,i_0_409]) ).

cnf(i_0_2599,plain,
    ~ rearsegP(nil,cons(hd(esk49_0),tl(esk49_0))),
    inference(scs_inference,[],[i_0_2261,i_0_2460,i_0_1824,i_0_1879,i_0_2271,i_0_2451,i_0_2131,i_0_2449,i_0_1899,i_0_1873,i_0_1875,i_0_304,i_0_308,i_0_293,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299,i_0_356,i_0_353,i_0_354,i_0_357,i_0_358,i_0_390,i_0_391,i_0_392,i_0_393,i_0_394,i_0_395,i_0_396,i_0_397,i_0_398,i_0_399,i_0_400,i_0_401,i_0_388,i_0_289,i_0_307,i_0_359,i_0_360,i_0_361,i_0_362,i_0_363,i_0_364,i_0_277,i_0_278,i_0_291,i_0_292,i_0_250,i_0_305,i_0_306,i_0_290,i_0_280,i_0_406,i_0_409,i_0_412]) ).

cnf(i_0_2600,plain,
    app(cons(esk1_0,nil),nil) != app(app(nil,nil),nil),
    inference(scs_inference,[],[i_0_2261,i_0_2460,i_0_1824,i_0_1879,i_0_2271,i_0_2298,i_0_2451,i_0_2131,i_0_2449,i_0_1899,i_0_2102,i_0_1873,i_0_1875,i_0_304,i_0_308,i_0_293,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299,i_0_356,i_0_353,i_0_354,i_0_357,i_0_358,i_0_390,i_0_391,i_0_392,i_0_393,i_0_394,i_0_395,i_0_396,i_0_397,i_0_398,i_0_399,i_0_400,i_0_401,i_0_388,i_0_289,i_0_307,i_0_359,i_0_360,i_0_361,i_0_362,i_0_363,i_0_364,i_0_277,i_0_278,i_0_291,i_0_292,i_0_250,i_0_305,i_0_306,i_0_290,i_0_280,i_0_406,i_0_409,i_0_412,i_0_419]) ).

cnf(i_0_2601,plain,
    ~ frontsegP(nil,cons(hd(esk49_0),tl(esk49_0))),
    inference(scs_inference,[],[i_0_2261,i_0_2460,i_0_1824,i_0_1879,i_0_2271,i_0_2298,i_0_2451,i_0_2131,i_0_2449,i_0_1899,i_0_1877,i_0_2102,i_0_1873,i_0_1875,i_0_304,i_0_308,i_0_293,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299,i_0_356,i_0_353,i_0_354,i_0_357,i_0_358,i_0_390,i_0_391,i_0_392,i_0_393,i_0_394,i_0_395,i_0_396,i_0_397,i_0_398,i_0_399,i_0_400,i_0_401,i_0_388,i_0_289,i_0_307,i_0_359,i_0_360,i_0_361,i_0_362,i_0_363,i_0_364,i_0_277,i_0_278,i_0_291,i_0_292,i_0_250,i_0_305,i_0_306,i_0_290,i_0_280,i_0_406,i_0_409,i_0_412,i_0_419,i_0_410]) ).

cnf(i_0_2602,plain,
    ~ segmentP(app(esk7_2(nil,nil),nil),cons(esk1_0,nil)),
    inference(scs_inference,[],[i_0_2261,i_0_2460,i_0_1824,i_0_1879,i_0_2069,i_0_2271,i_0_2298,i_0_2451,i_0_2131,i_0_2449,i_0_1899,i_0_1877,i_0_2102,i_0_1873,i_0_1875,i_0_304,i_0_308,i_0_293,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299,i_0_356,i_0_353,i_0_354,i_0_357,i_0_358,i_0_390,i_0_391,i_0_392,i_0_393,i_0_394,i_0_395,i_0_396,i_0_397,i_0_398,i_0_399,i_0_400,i_0_401,i_0_388,i_0_289,i_0_307,i_0_359,i_0_360,i_0_361,i_0_362,i_0_363,i_0_364,i_0_277,i_0_278,i_0_291,i_0_292,i_0_250,i_0_305,i_0_306,i_0_290,i_0_280,i_0_406,i_0_409,i_0_412,i_0_419,i_0_410,i_0_405]) ).

cnf(i_0_2603,plain,
    ~ memberP(app(esk7_2(nil,nil),nil),esk46_1(esk51_0)),
    inference(scs_inference,[],[i_0_2261,i_0_2460,i_0_1824,i_0_1879,i_0_2069,i_0_2271,i_0_2379,i_0_2298,i_0_2451,i_0_2131,i_0_2449,i_0_1899,i_0_1877,i_0_2102,i_0_1873,i_0_1875,i_0_304,i_0_308,i_0_293,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299,i_0_356,i_0_353,i_0_354,i_0_357,i_0_358,i_0_390,i_0_391,i_0_392,i_0_393,i_0_394,i_0_395,i_0_396,i_0_397,i_0_398,i_0_399,i_0_400,i_0_401,i_0_388,i_0_289,i_0_307,i_0_359,i_0_360,i_0_361,i_0_362,i_0_363,i_0_364,i_0_277,i_0_278,i_0_291,i_0_292,i_0_250,i_0_305,i_0_306,i_0_290,i_0_280,i_0_406,i_0_409,i_0_412,i_0_419,i_0_410,i_0_405,i_0_407]) ).

cnf(i_0_2604,plain,
    ~ rearsegP(app(esk7_2(nil,nil),nil),cons(esk1_0,nil)),
    inference(scs_inference,[],[i_0_2261,i_0_2460,i_0_2071,i_0_1824,i_0_1879,i_0_2069,i_0_2271,i_0_2379,i_0_2298,i_0_2451,i_0_2131,i_0_2449,i_0_1899,i_0_1877,i_0_2102,i_0_1873,i_0_1875,i_0_304,i_0_308,i_0_293,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299,i_0_356,i_0_353,i_0_354,i_0_357,i_0_358,i_0_390,i_0_391,i_0_392,i_0_393,i_0_394,i_0_395,i_0_396,i_0_397,i_0_398,i_0_399,i_0_400,i_0_401,i_0_388,i_0_289,i_0_307,i_0_359,i_0_360,i_0_361,i_0_362,i_0_363,i_0_364,i_0_277,i_0_278,i_0_291,i_0_292,i_0_250,i_0_305,i_0_306,i_0_290,i_0_280,i_0_406,i_0_409,i_0_412,i_0_419,i_0_410,i_0_405,i_0_407,i_0_411]) ).

cnf(i_0_2605,plain,
    ssList(app(esk47_1(esk49_0),esk47_1(esk49_0))),
    inference(scs_inference,[],[i_0_2261,i_0_2460,i_0_2071,i_0_1824,i_0_1879,i_0_2069,i_0_2271,i_0_2379,i_0_2298,i_0_2451,i_0_2131,i_0_2449,i_0_1899,i_0_1877,i_0_2102,i_0_1873,i_0_1875,i_0_304,i_0_308,i_0_293,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299,i_0_356,i_0_353,i_0_354,i_0_357,i_0_358,i_0_390,i_0_391,i_0_392,i_0_393,i_0_394,i_0_395,i_0_396,i_0_397,i_0_398,i_0_399,i_0_400,i_0_401,i_0_388,i_0_289,i_0_307,i_0_359,i_0_360,i_0_361,i_0_362,i_0_363,i_0_364,i_0_277,i_0_278,i_0_291,i_0_292,i_0_250,i_0_305,i_0_306,i_0_290,i_0_280,i_0_406,i_0_409,i_0_412,i_0_419,i_0_410,i_0_405,i_0_407,i_0_411,i_0_279]) ).

cnf(i_0_2607,plain,
    cons(esk2_0,nil) != app(cons(esk1_0,nil),esk6_2(cons(esk1_0,nil),cons(esk1_0,nil))),
    inference(scs_inference,[],[i_0_2261,i_0_2460,i_0_2250,i_0_2071,i_0_1824,i_0_1879,i_0_2069,i_0_2271,i_0_2379,i_0_2298,i_0_2451,i_0_2131,i_0_2449,i_0_1899,i_0_2143,i_0_1877,i_0_2102,i_0_1873,i_0_1875,i_0_304,i_0_308,i_0_293,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299,i_0_356,i_0_353,i_0_354,i_0_357,i_0_358,i_0_390,i_0_391,i_0_392,i_0_393,i_0_394,i_0_395,i_0_396,i_0_397,i_0_398,i_0_399,i_0_400,i_0_401,i_0_388,i_0_289,i_0_307,i_0_359,i_0_360,i_0_361,i_0_362,i_0_363,i_0_364,i_0_277,i_0_278,i_0_291,i_0_292,i_0_250,i_0_305,i_0_306,i_0_290,i_0_280,i_0_406,i_0_409,i_0_412,i_0_419,i_0_410,i_0_405,i_0_407,i_0_411,i_0_279,i_0_389]) ).

cnf(i_0_2608,plain,
    ssList(app(cons(esk46_1(esk49_0),nil),app(nil,nil))),
    inference(scs_inference,[],[i_0_2261,i_0_2460,i_0_2250,i_0_2071,i_0_1824,i_0_1879,i_0_2069,i_0_2271,i_0_2379,i_0_2298,i_0_2451,i_0_2131,i_0_2449,i_0_1899,i_0_2143,i_0_2095,i_0_1877,i_0_2102,i_0_1873,i_0_1875,i_0_2097,i_0_304,i_0_308,i_0_293,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299,i_0_356,i_0_353,i_0_354,i_0_357,i_0_358,i_0_390,i_0_391,i_0_392,i_0_393,i_0_394,i_0_395,i_0_396,i_0_397,i_0_398,i_0_399,i_0_400,i_0_401,i_0_388,i_0_289,i_0_307,i_0_359,i_0_360,i_0_361,i_0_362,i_0_363,i_0_364,i_0_277,i_0_278,i_0_291,i_0_292,i_0_250,i_0_305,i_0_306,i_0_290,i_0_280,i_0_406,i_0_409,i_0_412,i_0_419,i_0_410,i_0_405,i_0_407,i_0_411,i_0_279,i_0_389,i_0_420]) ).

cnf(i_0_2609,plain,
    ~ neq(esk48_0,app(esk48_0,nil)),
    inference(scs_inference,[],[i_0_2261,i_0_2460,i_0_2250,i_0_2071,i_0_1824,i_0_1879,i_0_2069,i_0_2271,i_0_1858,i_0_2379,i_0_2298,i_0_2451,i_0_2131,i_0_2449,i_0_1899,i_0_2143,i_0_2095,i_0_500,i_0_1877,i_0_2102,i_0_1873,i_0_1875,i_0_2097,i_0_304,i_0_308,i_0_293,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299,i_0_356,i_0_353,i_0_354,i_0_357,i_0_358,i_0_390,i_0_391,i_0_392,i_0_393,i_0_394,i_0_395,i_0_396,i_0_397,i_0_398,i_0_399,i_0_400,i_0_401,i_0_388,i_0_289,i_0_307,i_0_359,i_0_360,i_0_361,i_0_362,i_0_363,i_0_364,i_0_277,i_0_278,i_0_291,i_0_292,i_0_250,i_0_305,i_0_306,i_0_290,i_0_280,i_0_406,i_0_409,i_0_412,i_0_419,i_0_410,i_0_405,i_0_407,i_0_411,i_0_279,i_0_389,i_0_420,i_0_418]) ).

cnf(i_0_2610,plain,
    ~ neq(app(esk48_0,nil),esk48_0),
    inference(scs_inference,[],[i_0_2261,i_0_2460,i_0_2250,i_0_2071,i_0_1824,i_0_1879,i_0_2069,i_0_2271,i_0_1858,i_0_2379,i_0_2298,i_0_2451,i_0_2131,i_0_2449,i_0_1899,i_0_2143,i_0_2095,i_0_500,i_0_1877,i_0_2102,i_0_1873,i_0_1875,i_0_2097,i_0_304,i_0_308,i_0_293,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299,i_0_356,i_0_353,i_0_354,i_0_357,i_0_358,i_0_390,i_0_391,i_0_392,i_0_393,i_0_394,i_0_395,i_0_396,i_0_397,i_0_398,i_0_399,i_0_400,i_0_401,i_0_388,i_0_289,i_0_307,i_0_359,i_0_360,i_0_361,i_0_362,i_0_363,i_0_364,i_0_277,i_0_278,i_0_291,i_0_292,i_0_250,i_0_305,i_0_306,i_0_290,i_0_280,i_0_406,i_0_409,i_0_412,i_0_419,i_0_410,i_0_405,i_0_407,i_0_411,i_0_279,i_0_389,i_0_420,i_0_418,i_0_417]) ).

cnf(i_0_2611,plain,
    nil != app(cons(esk46_1(esk51_0),esk8_2(nil,nil)),cons(esk46_1(esk51_0),esk8_2(nil,nil))),
    inference(scs_inference,[],[i_0_2261,i_0_2460,i_0_2250,i_0_2071,i_0_1824,i_0_1879,i_0_2069,i_0_2271,i_0_1858,i_0_2379,i_0_2298,i_0_2451,i_0_2131,i_0_2449,i_0_1899,i_0_2143,i_0_2095,i_0_500,i_0_1877,i_0_2102,i_0_1873,i_0_1875,i_0_2097,i_0_304,i_0_308,i_0_293,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299,i_0_356,i_0_353,i_0_354,i_0_357,i_0_358,i_0_390,i_0_391,i_0_392,i_0_393,i_0_394,i_0_395,i_0_396,i_0_397,i_0_398,i_0_399,i_0_400,i_0_401,i_0_388,i_0_289,i_0_307,i_0_359,i_0_360,i_0_361,i_0_362,i_0_363,i_0_364,i_0_277,i_0_278,i_0_291,i_0_292,i_0_250,i_0_305,i_0_306,i_0_290,i_0_280,i_0_406,i_0_409,i_0_412,i_0_419,i_0_410,i_0_405,i_0_407,i_0_411,i_0_279,i_0_389,i_0_420,i_0_418,i_0_417,i_0_285]) ).

cnf(i_0_2621,plain,
    ssList(esk6_2(app(cons(esk1_0,nil),nil),cons(esk1_0,nil))),
    inference(scs_inference,[],[i_0_2261,i_0_2460,i_0_2250,i_0_2071,i_0_1824,i_0_1879,i_0_2069,i_0_2271,i_0_1858,i_0_2379,i_0_2298,i_0_2451,i_0_2131,i_0_2449,i_0_1899,i_0_2143,i_0_2095,i_0_500,i_0_1995,i_0_1877,i_0_2102,i_0_1873,i_0_1875,i_0_2097,i_0_1984,i_0_1869,i_0_304,i_0_308,i_0_293,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299,i_0_356,i_0_353,i_0_354,i_0_357,i_0_358,i_0_390,i_0_391,i_0_392,i_0_393,i_0_394,i_0_395,i_0_396,i_0_397,i_0_398,i_0_399,i_0_400,i_0_401,i_0_388,i_0_289,i_0_307,i_0_359,i_0_360,i_0_361,i_0_362,i_0_363,i_0_364,i_0_277,i_0_278,i_0_291,i_0_292,i_0_250,i_0_305,i_0_306,i_0_290,i_0_280,i_0_406,i_0_409,i_0_412,i_0_419,i_0_410,i_0_405,i_0_407,i_0_411,i_0_279,i_0_389,i_0_420,i_0_418,i_0_417,i_0_285,i_0_273,i_0_215,i_0_216,i_0_248,i_0_245]) ).

cnf(i_0_2625,plain,
    ~ gt(esk45_1(esk51_0),esk45_1(esk51_0)),
    inference(scs_inference,[],[i_0_2261,i_0_2460,i_0_2250,i_0_2071,i_0_1824,i_0_1879,i_0_2069,i_0_2271,i_0_1858,i_0_2379,i_0_2298,i_0_2451,i_0_2131,i_0_2449,i_0_1899,i_0_2143,i_0_2095,i_0_500,i_0_1995,i_0_1877,i_0_2102,i_0_1873,i_0_1875,i_0_2097,i_0_1984,i_0_2285,i_0_2287,i_0_1869,i_0_304,i_0_308,i_0_293,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299,i_0_356,i_0_353,i_0_354,i_0_357,i_0_358,i_0_390,i_0_391,i_0_392,i_0_393,i_0_394,i_0_395,i_0_396,i_0_397,i_0_398,i_0_399,i_0_400,i_0_401,i_0_388,i_0_289,i_0_307,i_0_359,i_0_360,i_0_361,i_0_362,i_0_363,i_0_364,i_0_277,i_0_278,i_0_291,i_0_292,i_0_250,i_0_305,i_0_306,i_0_290,i_0_280,i_0_406,i_0_409,i_0_412,i_0_419,i_0_410,i_0_405,i_0_407,i_0_411,i_0_279,i_0_389,i_0_420,i_0_418,i_0_417,i_0_285,i_0_273,i_0_215,i_0_216,i_0_248,i_0_245,i_0_286,i_0_270]) ).

cnf(i_0_2627,plain,
    ssList(esk9_2(esk9_2(nil,nil),nil)),
    inference(scs_inference,[],[i_0_2261,i_0_2460,i_0_2250,i_0_2071,i_0_1824,i_0_1879,i_0_2069,i_0_2227,i_0_2271,i_0_1858,i_0_2379,i_0_2298,i_0_2451,i_0_2131,i_0_2449,i_0_1899,i_0_2143,i_0_2095,i_0_500,i_0_1995,i_0_1877,i_0_2102,i_0_1873,i_0_1875,i_0_2097,i_0_1984,i_0_2285,i_0_2287,i_0_1869,i_0_2119,i_0_380,i_0_304,i_0_308,i_0_293,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299,i_0_356,i_0_353,i_0_354,i_0_357,i_0_358,i_0_390,i_0_391,i_0_392,i_0_393,i_0_394,i_0_395,i_0_396,i_0_397,i_0_398,i_0_399,i_0_400,i_0_401,i_0_388,i_0_289,i_0_307,i_0_359,i_0_360,i_0_361,i_0_362,i_0_363,i_0_364,i_0_277,i_0_278,i_0_291,i_0_292,i_0_250,i_0_305,i_0_306,i_0_290,i_0_280,i_0_406,i_0_409,i_0_412,i_0_419,i_0_410,i_0_405,i_0_407,i_0_411,i_0_279,i_0_389,i_0_420,i_0_418,i_0_417,i_0_285,i_0_273,i_0_215,i_0_216,i_0_248,i_0_245,i_0_286,i_0_270,i_0_242]) ).

cnf(i_0_2629,plain,
    ssList(esk8_2(esk9_2(nil,nil),nil)),
    inference(scs_inference,[],[i_0_2261,i_0_2460,i_0_2250,i_0_2071,i_0_1824,i_0_1879,i_0_2069,i_0_2227,i_0_2271,i_0_1858,i_0_2379,i_0_2298,i_0_2451,i_0_2131,i_0_2449,i_0_1899,i_0_2143,i_0_2095,i_0_500,i_0_1995,i_0_1877,i_0_2102,i_0_1873,i_0_1875,i_0_2097,i_0_1984,i_0_2285,i_0_2287,i_0_1869,i_0_2119,i_0_380,i_0_304,i_0_308,i_0_293,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299,i_0_356,i_0_353,i_0_354,i_0_357,i_0_358,i_0_390,i_0_391,i_0_392,i_0_393,i_0_394,i_0_395,i_0_396,i_0_397,i_0_398,i_0_399,i_0_400,i_0_401,i_0_388,i_0_289,i_0_307,i_0_359,i_0_360,i_0_361,i_0_362,i_0_363,i_0_364,i_0_277,i_0_278,i_0_291,i_0_292,i_0_250,i_0_305,i_0_306,i_0_290,i_0_280,i_0_406,i_0_409,i_0_412,i_0_419,i_0_410,i_0_405,i_0_407,i_0_411,i_0_279,i_0_389,i_0_420,i_0_418,i_0_417,i_0_285,i_0_273,i_0_215,i_0_216,i_0_248,i_0_245,i_0_286,i_0_270,i_0_242,i_0_243]) ).

cnf(i_0_2631,plain,
    ssList(esk7_2(app(esk9_2(nil,nil),esk9_2(nil,nil)),esk9_2(nil,nil))),
    inference(scs_inference,[],[i_0_2261,i_0_2460,i_0_2250,i_0_2071,i_0_1824,i_0_1879,i_0_2069,i_0_2227,i_0_2271,i_0_1858,i_0_2379,i_0_2363,i_0_2298,i_0_2300,i_0_2451,i_0_2131,i_0_2449,i_0_1899,i_0_2143,i_0_2095,i_0_500,i_0_1995,i_0_1877,i_0_2102,i_0_1873,i_0_1875,i_0_2097,i_0_1984,i_0_2285,i_0_2287,i_0_1869,i_0_2119,i_0_380,i_0_304,i_0_308,i_0_293,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299,i_0_356,i_0_353,i_0_354,i_0_357,i_0_358,i_0_390,i_0_391,i_0_392,i_0_393,i_0_394,i_0_395,i_0_396,i_0_397,i_0_398,i_0_399,i_0_400,i_0_401,i_0_388,i_0_289,i_0_307,i_0_359,i_0_360,i_0_361,i_0_362,i_0_363,i_0_364,i_0_277,i_0_278,i_0_291,i_0_292,i_0_250,i_0_305,i_0_306,i_0_290,i_0_280,i_0_406,i_0_409,i_0_412,i_0_419,i_0_410,i_0_405,i_0_407,i_0_411,i_0_279,i_0_389,i_0_420,i_0_418,i_0_417,i_0_285,i_0_273,i_0_215,i_0_216,i_0_248,i_0_245,i_0_286,i_0_270,i_0_242,i_0_243,i_0_244]) ).

cnf(i_0_2635,plain,
    app(cons(esk1_0,nil),esk6_2(app(cons(esk1_0,nil),nil),cons(esk1_0,nil))) = app(cons(esk1_0,nil),nil),
    inference(scs_inference,[],[i_0_2261,i_0_2460,i_0_2250,i_0_2071,i_0_1824,i_0_1879,i_0_2069,i_0_2227,i_0_2271,i_0_1858,i_0_2379,i_0_2363,i_0_2298,i_0_2300,i_0_2451,i_0_2131,i_0_2449,i_0_1899,i_0_2143,i_0_2095,i_0_500,i_0_1995,i_0_1877,i_0_2102,i_0_1873,i_0_1875,i_0_2097,i_0_1984,i_0_2285,i_0_2287,i_0_1869,i_0_2119,i_0_380,i_0_304,i_0_308,i_0_293,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299,i_0_356,i_0_353,i_0_354,i_0_357,i_0_358,i_0_390,i_0_391,i_0_392,i_0_393,i_0_394,i_0_395,i_0_396,i_0_397,i_0_398,i_0_399,i_0_400,i_0_401,i_0_388,i_0_289,i_0_307,i_0_359,i_0_360,i_0_361,i_0_362,i_0_363,i_0_364,i_0_277,i_0_278,i_0_291,i_0_292,i_0_250,i_0_305,i_0_306,i_0_290,i_0_280,i_0_406,i_0_409,i_0_412,i_0_419,i_0_410,i_0_405,i_0_407,i_0_411,i_0_279,i_0_389,i_0_420,i_0_418,i_0_417,i_0_285,i_0_273,i_0_215,i_0_216,i_0_248,i_0_245,i_0_286,i_0_270,i_0_242,i_0_243,i_0_244,i_0_234,i_0_235]) ).

cnf(i_0_2637,plain,
    app(app(esk8_2(esk9_2(nil,nil),nil),nil),esk9_2(esk9_2(nil,nil),nil)) = esk9_2(nil,nil),
    inference(scs_inference,[],[i_0_2261,i_0_2460,i_0_2250,i_0_2071,i_0_1824,i_0_1879,i_0_2069,i_0_2227,i_0_2271,i_0_1858,i_0_2379,i_0_2363,i_0_2298,i_0_2300,i_0_2451,i_0_2131,i_0_2449,i_0_1899,i_0_2143,i_0_2095,i_0_500,i_0_1995,i_0_1877,i_0_2102,i_0_1873,i_0_1875,i_0_2097,i_0_1984,i_0_2285,i_0_2287,i_0_1869,i_0_2119,i_0_380,i_0_304,i_0_308,i_0_293,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299,i_0_356,i_0_353,i_0_354,i_0_357,i_0_358,i_0_390,i_0_391,i_0_392,i_0_393,i_0_394,i_0_395,i_0_396,i_0_397,i_0_398,i_0_399,i_0_400,i_0_401,i_0_388,i_0_289,i_0_307,i_0_359,i_0_360,i_0_361,i_0_362,i_0_363,i_0_364,i_0_277,i_0_278,i_0_291,i_0_292,i_0_250,i_0_305,i_0_306,i_0_290,i_0_280,i_0_406,i_0_409,i_0_412,i_0_419,i_0_410,i_0_405,i_0_407,i_0_411,i_0_279,i_0_389,i_0_420,i_0_418,i_0_417,i_0_285,i_0_273,i_0_215,i_0_216,i_0_248,i_0_245,i_0_286,i_0_270,i_0_242,i_0_243,i_0_244,i_0_234,i_0_235,i_0_204]) ).

cnf(i_0_2639,plain,
    rearsegP(app(esk47_1(esk49_0),esk50_0),nil),
    inference(scs_inference,[],[i_0_2261,i_0_2457,i_0_2460,i_0_2250,i_0_2071,i_0_1824,i_0_1879,i_0_2069,i_0_2227,i_0_2271,i_0_1858,i_0_2379,i_0_2363,i_0_2298,i_0_2300,i_0_2451,i_0_2131,i_0_2449,i_0_1899,i_0_2143,i_0_2095,i_0_500,i_0_1995,i_0_1877,i_0_2102,i_0_1873,i_0_1875,i_0_2097,i_0_1984,i_0_2285,i_0_2287,i_0_1869,i_0_2119,i_0_380,i_0_377,i_0_304,i_0_308,i_0_293,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299,i_0_356,i_0_353,i_0_354,i_0_357,i_0_358,i_0_390,i_0_391,i_0_392,i_0_393,i_0_394,i_0_395,i_0_396,i_0_397,i_0_398,i_0_399,i_0_400,i_0_401,i_0_388,i_0_289,i_0_307,i_0_359,i_0_360,i_0_361,i_0_362,i_0_363,i_0_364,i_0_277,i_0_278,i_0_291,i_0_292,i_0_250,i_0_305,i_0_306,i_0_290,i_0_280,i_0_406,i_0_409,i_0_412,i_0_419,i_0_410,i_0_405,i_0_407,i_0_411,i_0_279,i_0_389,i_0_420,i_0_418,i_0_417,i_0_285,i_0_273,i_0_215,i_0_216,i_0_248,i_0_245,i_0_286,i_0_270,i_0_242,i_0_243,i_0_244,i_0_234,i_0_235,i_0_204,i_0_219]) ).

cnf(i_0_2641,plain,
    frontsegP(app(esk50_0,esk47_1(esk49_0)),nil),
    inference(scs_inference,[],[i_0_2261,i_0_2454,i_0_2457,i_0_2460,i_0_2250,i_0_2071,i_0_1824,i_0_1879,i_0_2069,i_0_2227,i_0_2271,i_0_1858,i_0_2379,i_0_2363,i_0_2298,i_0_2300,i_0_2451,i_0_2131,i_0_2449,i_0_1899,i_0_2143,i_0_2095,i_0_500,i_0_1995,i_0_1877,i_0_2102,i_0_1873,i_0_1875,i_0_2097,i_0_1984,i_0_2285,i_0_2287,i_0_1869,i_0_2119,i_0_380,i_0_377,i_0_304,i_0_308,i_0_293,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299,i_0_356,i_0_353,i_0_354,i_0_357,i_0_358,i_0_390,i_0_391,i_0_392,i_0_393,i_0_394,i_0_395,i_0_396,i_0_397,i_0_398,i_0_399,i_0_400,i_0_401,i_0_388,i_0_289,i_0_307,i_0_359,i_0_360,i_0_361,i_0_362,i_0_363,i_0_364,i_0_277,i_0_278,i_0_291,i_0_292,i_0_250,i_0_305,i_0_306,i_0_290,i_0_280,i_0_406,i_0_409,i_0_412,i_0_419,i_0_410,i_0_405,i_0_407,i_0_411,i_0_279,i_0_389,i_0_420,i_0_418,i_0_417,i_0_285,i_0_273,i_0_215,i_0_216,i_0_248,i_0_245,i_0_286,i_0_270,i_0_242,i_0_243,i_0_244,i_0_234,i_0_235,i_0_204,i_0_219,i_0_220]) ).

cnf(i_0_2643,plain,
    segmentP(app(app(esk47_1(esk49_0),esk9_2(nil,nil)),esk47_1(esk49_0)),nil),
    inference(scs_inference,[],[i_0_2261,i_0_2454,i_0_2457,i_0_2460,i_0_2250,i_0_2071,i_0_1824,i_0_1879,i_0_2069,i_0_2227,i_0_2271,i_0_1858,i_0_2379,i_0_2363,i_0_2298,i_0_2300,i_0_2451,i_0_2131,i_0_2449,i_0_1899,i_0_2143,i_0_2095,i_0_500,i_0_1995,i_0_1877,i_0_2102,i_0_1873,i_0_1875,i_0_2097,i_0_1984,i_0_2285,i_0_2287,i_0_1869,i_0_2119,i_0_380,i_0_377,i_0_304,i_0_308,i_0_293,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299,i_0_356,i_0_353,i_0_354,i_0_357,i_0_358,i_0_390,i_0_391,i_0_392,i_0_393,i_0_394,i_0_395,i_0_396,i_0_397,i_0_398,i_0_399,i_0_400,i_0_401,i_0_388,i_0_289,i_0_307,i_0_359,i_0_360,i_0_361,i_0_362,i_0_363,i_0_364,i_0_277,i_0_278,i_0_291,i_0_292,i_0_250,i_0_305,i_0_306,i_0_290,i_0_280,i_0_406,i_0_409,i_0_412,i_0_419,i_0_410,i_0_405,i_0_407,i_0_411,i_0_279,i_0_389,i_0_420,i_0_418,i_0_417,i_0_285,i_0_273,i_0_215,i_0_216,i_0_248,i_0_245,i_0_286,i_0_270,i_0_242,i_0_243,i_0_244,i_0_234,i_0_235,i_0_204,i_0_219,i_0_220,i_0_207]) ).

cnf(i_0_2645,plain,
    app(nil,cons(esk45_1(esk51_0),nil)) != nil,
    inference(scs_inference,[],[i_0_2261,i_0_2454,i_0_2457,i_0_2460,i_0_2250,i_0_2071,i_0_1824,i_0_1879,i_0_2069,i_0_2227,i_0_2271,i_0_1858,i_0_2379,i_0_2363,i_0_2298,i_0_2300,i_0_2451,i_0_2131,i_0_2449,i_0_1899,i_0_2143,i_0_2095,i_0_500,i_0_1995,i_0_1877,i_0_2102,i_0_1873,i_0_1875,i_0_2097,i_0_1984,i_0_2285,i_0_2287,i_0_1869,i_0_2119,i_0_380,i_0_377,i_0_304,i_0_308,i_0_293,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299,i_0_356,i_0_353,i_0_354,i_0_357,i_0_358,i_0_390,i_0_391,i_0_392,i_0_393,i_0_394,i_0_395,i_0_396,i_0_397,i_0_398,i_0_399,i_0_400,i_0_401,i_0_388,i_0_289,i_0_307,i_0_359,i_0_360,i_0_361,i_0_362,i_0_363,i_0_364,i_0_277,i_0_278,i_0_291,i_0_292,i_0_250,i_0_305,i_0_306,i_0_290,i_0_280,i_0_406,i_0_409,i_0_412,i_0_419,i_0_410,i_0_405,i_0_407,i_0_411,i_0_279,i_0_389,i_0_420,i_0_418,i_0_417,i_0_285,i_0_273,i_0_215,i_0_216,i_0_248,i_0_245,i_0_286,i_0_270,i_0_242,i_0_243,i_0_244,i_0_234,i_0_235,i_0_204,i_0_219,i_0_220,i_0_207,i_0_213]) ).

cnf(i_0_2704,plain,
    ~ frontsegP(nil,cons(esk45_1(esk51_0),esk47_1(esk49_0))),
    inference(scs_inference,[],[i_0_2007,i_0_1825,i_0_1881,i_0_2273,i_0_2595,i_0_2593,i_0_304,i_0_308,i_0_293,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299,i_0_356,i_0_353,i_0_354,i_0_357,i_0_358,i_0_390,i_0_391,i_0_392,i_0_393,i_0_394,i_0_395,i_0_396,i_0_397,i_0_398,i_0_399,i_0_400,i_0_401,i_0_388,i_0_289,i_0_307]) ).

cnf(i_0_2706,plain,
    ssList(esk47_1(cons(esk45_1(esk51_0),esk47_1(esk49_0)))),
    inference(scs_inference,[],[i_0_2007,i_0_1825,i_0_1881,i_0_2273,i_0_2595,i_0_2593,i_0_304,i_0_308,i_0_293,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299,i_0_356,i_0_353,i_0_354,i_0_357,i_0_358,i_0_390,i_0_391,i_0_392,i_0_393,i_0_394,i_0_395,i_0_396,i_0_397,i_0_398,i_0_399,i_0_400,i_0_401,i_0_388,i_0_289,i_0_307,i_0_359]) ).

cnf(i_0_2708,plain,
    ssList(esk44_1(cons(esk45_1(esk51_0),esk47_1(esk49_0)))),
    inference(scs_inference,[],[i_0_2007,i_0_1825,i_0_1881,i_0_2273,i_0_2595,i_0_2593,i_0_304,i_0_308,i_0_293,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299,i_0_356,i_0_353,i_0_354,i_0_357,i_0_358,i_0_390,i_0_391,i_0_392,i_0_393,i_0_394,i_0_395,i_0_396,i_0_397,i_0_398,i_0_399,i_0_400,i_0_401,i_0_388,i_0_289,i_0_307,i_0_359,i_0_360]) ).

cnf(i_0_2710,plain,
    ssList(tl(cons(esk45_1(esk51_0),esk47_1(esk49_0)))),
    inference(scs_inference,[],[i_0_2007,i_0_1825,i_0_1881,i_0_2273,i_0_2595,i_0_2593,i_0_304,i_0_308,i_0_293,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299,i_0_356,i_0_353,i_0_354,i_0_357,i_0_358,i_0_390,i_0_391,i_0_392,i_0_393,i_0_394,i_0_395,i_0_396,i_0_397,i_0_398,i_0_399,i_0_400,i_0_401,i_0_388,i_0_289,i_0_307,i_0_359,i_0_360,i_0_361]) ).

cnf(i_0_2712,plain,
    ssItem(esk46_1(cons(esk45_1(esk51_0),esk47_1(esk49_0)))),
    inference(scs_inference,[],[i_0_2007,i_0_1825,i_0_1881,i_0_2273,i_0_2595,i_0_2593,i_0_304,i_0_308,i_0_293,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299,i_0_356,i_0_353,i_0_354,i_0_357,i_0_358,i_0_390,i_0_391,i_0_392,i_0_393,i_0_394,i_0_395,i_0_396,i_0_397,i_0_398,i_0_399,i_0_400,i_0_401,i_0_388,i_0_289,i_0_307,i_0_359,i_0_360,i_0_361,i_0_362]) ).

cnf(i_0_2714,plain,
    ssItem(esk45_1(cons(esk45_1(esk51_0),esk47_1(esk49_0)))),
    inference(scs_inference,[],[i_0_2007,i_0_1825,i_0_1881,i_0_2273,i_0_2595,i_0_2593,i_0_304,i_0_308,i_0_293,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299,i_0_356,i_0_353,i_0_354,i_0_357,i_0_358,i_0_390,i_0_391,i_0_392,i_0_393,i_0_394,i_0_395,i_0_396,i_0_397,i_0_398,i_0_399,i_0_400,i_0_401,i_0_388,i_0_289,i_0_307,i_0_359,i_0_360,i_0_361,i_0_362,i_0_363]) ).

cnf(i_0_2716,plain,
    ssItem(hd(cons(esk45_1(esk51_0),esk47_1(esk49_0)))),
    inference(scs_inference,[],[i_0_2007,i_0_1825,i_0_1881,i_0_2273,i_0_2595,i_0_2593,i_0_304,i_0_308,i_0_293,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299,i_0_356,i_0_353,i_0_354,i_0_357,i_0_358,i_0_390,i_0_391,i_0_392,i_0_393,i_0_394,i_0_395,i_0_396,i_0_397,i_0_398,i_0_399,i_0_400,i_0_401,i_0_388,i_0_289,i_0_307,i_0_359,i_0_360,i_0_361,i_0_362,i_0_363,i_0_364]) ).

cnf(i_0_2718,plain,
    tl(cons(hd(esk51_0),esk44_1(esk49_0))) = esk44_1(esk49_0),
    inference(scs_inference,[],[i_0_2007,i_0_1825,i_0_1881,i_0_2273,i_0_2595,i_0_2593,i_0_304,i_0_308,i_0_293,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299,i_0_356,i_0_353,i_0_354,i_0_357,i_0_358,i_0_390,i_0_391,i_0_392,i_0_393,i_0_394,i_0_395,i_0_396,i_0_397,i_0_398,i_0_399,i_0_400,i_0_401,i_0_388,i_0_289,i_0_307,i_0_359,i_0_360,i_0_361,i_0_362,i_0_363,i_0_364,i_0_277]) ).

cnf(i_0_2720,plain,
    hd(cons(hd(esk51_0),esk44_1(esk49_0))) = hd(esk51_0),
    inference(scs_inference,[],[i_0_2007,i_0_1825,i_0_1881,i_0_2273,i_0_2595,i_0_2593,i_0_304,i_0_308,i_0_293,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299,i_0_356,i_0_353,i_0_354,i_0_357,i_0_358,i_0_390,i_0_391,i_0_392,i_0_393,i_0_394,i_0_395,i_0_396,i_0_397,i_0_398,i_0_399,i_0_400,i_0_401,i_0_388,i_0_289,i_0_307,i_0_359,i_0_360,i_0_361,i_0_362,i_0_363,i_0_364,i_0_277,i_0_278]) ).

cnf(i_0_2726,plain,
    cons(hd(esk51_0),esk44_1(esk49_0)) = app(cons(hd(esk51_0),nil),esk44_1(esk49_0)),
    inference(scs_inference,[],[i_0_2007,i_0_1825,i_0_1881,i_0_2273,i_0_2595,i_0_2593,i_0_304,i_0_308,i_0_293,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299,i_0_356,i_0_353,i_0_354,i_0_357,i_0_358,i_0_390,i_0_391,i_0_392,i_0_393,i_0_394,i_0_395,i_0_396,i_0_397,i_0_398,i_0_399,i_0_400,i_0_401,i_0_388,i_0_289,i_0_307,i_0_359,i_0_360,i_0_361,i_0_362,i_0_363,i_0_364,i_0_277,i_0_278,i_0_291,i_0_292,i_0_250]) ).

cnf(i_0_2728,plain,
    ~ segmentP(nil,cons(esk45_1(esk51_0),esk47_1(esk49_0))),
    inference(scs_inference,[],[i_0_2007,i_0_1825,i_0_1881,i_0_2273,i_0_2595,i_0_2593,i_0_304,i_0_308,i_0_293,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299,i_0_356,i_0_353,i_0_354,i_0_357,i_0_358,i_0_390,i_0_391,i_0_392,i_0_393,i_0_394,i_0_395,i_0_396,i_0_397,i_0_398,i_0_399,i_0_400,i_0_401,i_0_388,i_0_289,i_0_307,i_0_359,i_0_360,i_0_361,i_0_362,i_0_363,i_0_364,i_0_277,i_0_278,i_0_291,i_0_292,i_0_250,i_0_305]) ).

cnf(i_0_2730,plain,
    ~ rearsegP(nil,cons(esk45_1(esk51_0),esk47_1(esk49_0))),
    inference(scs_inference,[],[i_0_2007,i_0_1825,i_0_1881,i_0_2273,i_0_2595,i_0_2593,i_0_304,i_0_308,i_0_293,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299,i_0_356,i_0_353,i_0_354,i_0_357,i_0_358,i_0_390,i_0_391,i_0_392,i_0_393,i_0_394,i_0_395,i_0_396,i_0_397,i_0_398,i_0_399,i_0_400,i_0_401,i_0_388,i_0_289,i_0_307,i_0_359,i_0_360,i_0_361,i_0_362,i_0_363,i_0_364,i_0_277,i_0_278,i_0_291,i_0_292,i_0_250,i_0_305,i_0_306]) ).

cnf(i_0_2732,plain,
    nil != cons(hd(esk51_0),esk44_1(esk49_0)),
    inference(scs_inference,[],[i_0_2007,i_0_1825,i_0_1881,i_0_2273,i_0_2595,i_0_2593,i_0_304,i_0_308,i_0_293,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299,i_0_356,i_0_353,i_0_354,i_0_357,i_0_358,i_0_390,i_0_391,i_0_392,i_0_393,i_0_394,i_0_395,i_0_396,i_0_397,i_0_398,i_0_399,i_0_400,i_0_401,i_0_388,i_0_289,i_0_307,i_0_359,i_0_360,i_0_361,i_0_362,i_0_363,i_0_364,i_0_277,i_0_278,i_0_291,i_0_292,i_0_250,i_0_305,i_0_306,i_0_290]) ).

cnf(i_0_2734,plain,
    ssList(cons(hd(esk51_0),esk44_1(esk49_0))),
    inference(scs_inference,[],[i_0_2007,i_0_1825,i_0_1881,i_0_2273,i_0_2595,i_0_2593,i_0_304,i_0_308,i_0_293,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299,i_0_356,i_0_353,i_0_354,i_0_357,i_0_358,i_0_390,i_0_391,i_0_392,i_0_393,i_0_394,i_0_395,i_0_396,i_0_397,i_0_398,i_0_399,i_0_400,i_0_401,i_0_388,i_0_289,i_0_307,i_0_359,i_0_360,i_0_361,i_0_362,i_0_363,i_0_364,i_0_277,i_0_278,i_0_291,i_0_292,i_0_250,i_0_305,i_0_306,i_0_290,i_0_280]) ).

cnf(i_0_2736,plain,
    memberP(cons(esk5_1(cons(esk1_0,nil)),esk47_1(esk49_0)),esk5_1(cons(esk1_0,nil))),
    inference(scs_inference,[],[i_0_2007,i_0_1825,i_0_1881,i_0_2273,i_0_2595,i_0_2593,i_0_2655,i_0_2277,i_0_304,i_0_308,i_0_293,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299,i_0_356,i_0_353,i_0_354,i_0_357,i_0_358,i_0_390,i_0_391,i_0_392,i_0_393,i_0_394,i_0_395,i_0_396,i_0_397,i_0_398,i_0_399,i_0_400,i_0_401,i_0_388,i_0_289,i_0_307,i_0_359,i_0_360,i_0_361,i_0_362,i_0_363,i_0_364,i_0_277,i_0_278,i_0_291,i_0_292,i_0_250,i_0_305,i_0_306,i_0_290,i_0_280,i_0_408]) ).

cnf(i_0_2737,plain,
    frontsegP(app(esk48_0,esk47_1(esk49_0)),nil),
    inference(scs_inference,[],[i_0_2007,i_0_1825,i_0_1881,i_0_2273,i_0_2595,i_0_2593,i_0_2641,i_0_2655,i_0_2277,i_0_1820,i_0_304,i_0_308,i_0_293,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299,i_0_356,i_0_353,i_0_354,i_0_357,i_0_358,i_0_390,i_0_391,i_0_392,i_0_393,i_0_394,i_0_395,i_0_396,i_0_397,i_0_398,i_0_399,i_0_400,i_0_401,i_0_388,i_0_289,i_0_307,i_0_359,i_0_360,i_0_361,i_0_362,i_0_363,i_0_364,i_0_277,i_0_278,i_0_291,i_0_292,i_0_250,i_0_305,i_0_306,i_0_290,i_0_280,i_0_408,i_0_409]) ).

cnf(i_0_2739,plain,
    ~ singletonP(tl(cons(esk46_1(esk49_0),app(nil,nil)))),
    inference(scs_inference,[],[i_0_2007,i_0_1825,i_0_1881,i_0_2273,i_0_2595,i_0_2593,i_0_2641,i_0_2087,i_0_2655,i_0_1868,i_0_2277,i_0_1820,i_0_304,i_0_308,i_0_293,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299,i_0_356,i_0_353,i_0_354,i_0_357,i_0_358,i_0_390,i_0_391,i_0_392,i_0_393,i_0_394,i_0_395,i_0_396,i_0_397,i_0_398,i_0_399,i_0_400,i_0_401,i_0_388,i_0_289,i_0_307,i_0_359,i_0_360,i_0_361,i_0_362,i_0_363,i_0_364,i_0_277,i_0_278,i_0_291,i_0_292,i_0_250,i_0_305,i_0_306,i_0_290,i_0_280,i_0_408,i_0_409,i_0_419]) ).

cnf(i_0_2740,plain,
    frontsegP(app(esk48_0,esk9_2(nil,nil)),esk50_0),
    inference(scs_inference,[],[i_0_2007,i_0_1825,i_0_1881,i_0_2273,i_0_2595,i_0_2593,i_0_2334,i_0_2641,i_0_2087,i_0_2655,i_0_1868,i_0_2277,i_0_1820,i_0_386,i_0_304,i_0_308,i_0_293,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299,i_0_356,i_0_353,i_0_354,i_0_357,i_0_358,i_0_390,i_0_391,i_0_392,i_0_393,i_0_394,i_0_395,i_0_396,i_0_397,i_0_398,i_0_399,i_0_400,i_0_401,i_0_388,i_0_289,i_0_307,i_0_359,i_0_360,i_0_361,i_0_362,i_0_363,i_0_364,i_0_277,i_0_278,i_0_291,i_0_292,i_0_250,i_0_305,i_0_306,i_0_290,i_0_280,i_0_408,i_0_409,i_0_419,i_0_410]) ).

cnf(i_0_2741,plain,
    segmentP(esk50_0,nil),
    inference(scs_inference,[],[i_0_2007,i_0_1825,i_0_1881,i_0_2273,i_0_2595,i_0_2593,i_0_2334,i_0_2641,i_0_2087,i_0_2655,i_0_1836,i_0_1868,i_0_2277,i_0_1820,i_0_386,i_0_304,i_0_308,i_0_293,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299,i_0_356,i_0_353,i_0_354,i_0_357,i_0_358,i_0_390,i_0_391,i_0_392,i_0_393,i_0_394,i_0_395,i_0_396,i_0_397,i_0_398,i_0_399,i_0_400,i_0_401,i_0_388,i_0_289,i_0_307,i_0_359,i_0_360,i_0_361,i_0_362,i_0_363,i_0_364,i_0_277,i_0_278,i_0_291,i_0_292,i_0_250,i_0_305,i_0_306,i_0_290,i_0_280,i_0_408,i_0_409,i_0_419,i_0_410,i_0_405]) ).

cnf(i_0_2742,plain,
    cons(esk1_0,esk48_0) != app(nil,nil),
    inference(scs_inference,[],[i_0_1105,i_0_2007,i_0_1825,i_0_1881,i_0_2273,i_0_2595,i_0_2593,i_0_2334,i_0_2641,i_0_2087,i_0_2655,i_0_1836,i_0_1863,i_0_1868,i_0_2277,i_0_1820,i_0_386,i_0_304,i_0_308,i_0_293,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299,i_0_356,i_0_353,i_0_354,i_0_357,i_0_358,i_0_390,i_0_391,i_0_392,i_0_393,i_0_394,i_0_395,i_0_396,i_0_397,i_0_398,i_0_399,i_0_400,i_0_401,i_0_388,i_0_289,i_0_307,i_0_359,i_0_360,i_0_361,i_0_362,i_0_363,i_0_364,i_0_277,i_0_278,i_0_291,i_0_292,i_0_250,i_0_305,i_0_306,i_0_290,i_0_280,i_0_408,i_0_409,i_0_419,i_0_410,i_0_405,i_0_407]) ).

cnf(i_0_2743,plain,
    rearsegP(app(esk47_1(esk49_0),esk48_0),nil),
    inference(scs_inference,[],[i_0_1105,i_0_2007,i_0_1825,i_0_1881,i_0_2273,i_0_2595,i_0_2593,i_0_2334,i_0_2639,i_0_2641,i_0_2087,i_0_2655,i_0_1836,i_0_1821,i_0_1863,i_0_1868,i_0_2277,i_0_1820,i_0_386,i_0_304,i_0_308,i_0_293,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299,i_0_356,i_0_353,i_0_354,i_0_357,i_0_358,i_0_390,i_0_391,i_0_392,i_0_393,i_0_394,i_0_395,i_0_396,i_0_397,i_0_398,i_0_399,i_0_400,i_0_401,i_0_388,i_0_289,i_0_307,i_0_359,i_0_360,i_0_361,i_0_362,i_0_363,i_0_364,i_0_277,i_0_278,i_0_291,i_0_292,i_0_250,i_0_305,i_0_306,i_0_290,i_0_280,i_0_408,i_0_409,i_0_419,i_0_410,i_0_405,i_0_407,i_0_411]) ).

cnf(i_0_2745,plain,
    ssList(app(esk44_1(esk49_0),esk44_1(esk49_0))),
    inference(scs_inference,[],[i_0_1105,i_0_2007,i_0_1825,i_0_1881,i_0_2273,i_0_2595,i_0_2593,i_0_2334,i_0_2639,i_0_2641,i_0_2087,i_0_2655,i_0_1836,i_0_1821,i_0_1863,i_0_1868,i_0_2277,i_0_1820,i_0_386,i_0_304,i_0_308,i_0_293,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299,i_0_356,i_0_353,i_0_354,i_0_357,i_0_358,i_0_390,i_0_391,i_0_392,i_0_393,i_0_394,i_0_395,i_0_396,i_0_397,i_0_398,i_0_399,i_0_400,i_0_401,i_0_388,i_0_289,i_0_307,i_0_359,i_0_360,i_0_361,i_0_362,i_0_363,i_0_364,i_0_277,i_0_278,i_0_291,i_0_292,i_0_250,i_0_305,i_0_306,i_0_290,i_0_280,i_0_408,i_0_409,i_0_419,i_0_410,i_0_405,i_0_407,i_0_411,i_0_279]) ).

cnf(i_0_2747,plain,
    app(esk7_2(esk50_0,esk50_0),esk50_0) = esk48_0,
    inference(scs_inference,[],[i_0_1105,i_0_2007,i_0_1825,i_0_1881,i_0_2273,i_0_2595,i_0_2316,i_0_2593,i_0_2334,i_0_2639,i_0_2641,i_0_2087,i_0_2655,i_0_1836,i_0_1821,i_0_1863,i_0_1868,i_0_2277,i_0_1820,i_0_494,i_0_386,i_0_304,i_0_308,i_0_293,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299,i_0_356,i_0_353,i_0_354,i_0_357,i_0_358,i_0_390,i_0_391,i_0_392,i_0_393,i_0_394,i_0_395,i_0_396,i_0_397,i_0_398,i_0_399,i_0_400,i_0_401,i_0_388,i_0_289,i_0_307,i_0_359,i_0_360,i_0_361,i_0_362,i_0_363,i_0_364,i_0_277,i_0_278,i_0_291,i_0_292,i_0_250,i_0_305,i_0_306,i_0_290,i_0_280,i_0_408,i_0_409,i_0_419,i_0_410,i_0_405,i_0_407,i_0_411,i_0_279,i_0_389]) ).

cnf(i_0_2748,plain,
    app(cons(esk1_0,nil),nil) != nil,
    inference(scs_inference,[],[i_0_1105,i_0_2007,i_0_1825,i_0_1881,i_0_2273,i_0_2595,i_0_2316,i_0_2467,i_0_2593,i_0_2334,i_0_2639,i_0_2641,i_0_2087,i_0_2655,i_0_1836,i_0_1821,i_0_1863,i_0_1868,i_0_2277,i_0_525,i_0_1820,i_0_494,i_0_386,i_0_304,i_0_308,i_0_293,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299,i_0_356,i_0_353,i_0_354,i_0_357,i_0_358,i_0_390,i_0_391,i_0_392,i_0_393,i_0_394,i_0_395,i_0_396,i_0_397,i_0_398,i_0_399,i_0_400,i_0_401,i_0_388,i_0_289,i_0_307,i_0_359,i_0_360,i_0_361,i_0_362,i_0_363,i_0_364,i_0_277,i_0_278,i_0_291,i_0_292,i_0_250,i_0_305,i_0_306,i_0_290,i_0_280,i_0_408,i_0_409,i_0_419,i_0_410,i_0_405,i_0_407,i_0_411,i_0_279,i_0_389,i_0_417]) ).

cnf(i_0_2757,plain,
    ~ gt(esk5_1(cons(esk1_0,nil)),esk5_1(cons(esk1_0,nil))),
    inference(scs_inference,[],[i_0_1105,i_0_2007,i_0_1825,i_0_1881,i_0_2273,i_0_2595,i_0_2316,i_0_2467,i_0_2593,i_0_2334,i_0_2639,i_0_2641,i_0_2209,i_0_2087,i_0_2655,i_0_1836,i_0_1821,i_0_1863,i_0_1868,i_0_2277,i_0_525,i_0_1820,i_0_494,i_0_2063,i_0_386,i_0_304,i_0_308,i_0_293,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299,i_0_356,i_0_353,i_0_354,i_0_357,i_0_358,i_0_390,i_0_391,i_0_392,i_0_393,i_0_394,i_0_395,i_0_396,i_0_397,i_0_398,i_0_399,i_0_400,i_0_401,i_0_388,i_0_289,i_0_307,i_0_359,i_0_360,i_0_361,i_0_362,i_0_363,i_0_364,i_0_277,i_0_278,i_0_291,i_0_292,i_0_250,i_0_305,i_0_306,i_0_290,i_0_280,i_0_408,i_0_409,i_0_419,i_0_410,i_0_405,i_0_407,i_0_411,i_0_279,i_0_389,i_0_417,i_0_273,i_0_215,i_0_216,i_0_248,i_0_270]) ).

cnf(i_0_2759,plain,
    ssList(esk6_2(esk9_2(nil,nil),nil)),
    inference(scs_inference,[],[i_0_1105,i_0_2007,i_0_1825,i_0_1881,i_0_2235,i_0_2273,i_0_2595,i_0_2316,i_0_2467,i_0_2593,i_0_2334,i_0_2639,i_0_2641,i_0_2209,i_0_2087,i_0_2655,i_0_1836,i_0_1821,i_0_1863,i_0_1868,i_0_2277,i_0_525,i_0_1820,i_0_494,i_0_2063,i_0_2119,i_0_380,i_0_386,i_0_304,i_0_308,i_0_293,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299,i_0_356,i_0_353,i_0_354,i_0_357,i_0_358,i_0_390,i_0_391,i_0_392,i_0_393,i_0_394,i_0_395,i_0_396,i_0_397,i_0_398,i_0_399,i_0_400,i_0_401,i_0_388,i_0_289,i_0_307,i_0_359,i_0_360,i_0_361,i_0_362,i_0_363,i_0_364,i_0_277,i_0_278,i_0_291,i_0_292,i_0_250,i_0_305,i_0_306,i_0_290,i_0_280,i_0_408,i_0_409,i_0_419,i_0_410,i_0_405,i_0_407,i_0_411,i_0_279,i_0_389,i_0_417,i_0_273,i_0_215,i_0_216,i_0_248,i_0_270,i_0_245]) ).

cnf(i_0_2761,plain,
    ssList(esk9_2(esk8_2(nil,nil),nil)),
    inference(scs_inference,[],[i_0_1105,i_0_2007,i_0_1825,i_0_1881,i_0_2235,i_0_2273,i_0_2395,i_0_2595,i_0_2316,i_0_2467,i_0_2593,i_0_2334,i_0_2639,i_0_2641,i_0_2209,i_0_2087,i_0_2655,i_0_1836,i_0_1821,i_0_1863,i_0_1868,i_0_2277,i_0_525,i_0_1820,i_0_494,i_0_2063,i_0_2121,i_0_2119,i_0_380,i_0_386,i_0_304,i_0_308,i_0_293,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299,i_0_356,i_0_353,i_0_354,i_0_357,i_0_358,i_0_390,i_0_391,i_0_392,i_0_393,i_0_394,i_0_395,i_0_396,i_0_397,i_0_398,i_0_399,i_0_400,i_0_401,i_0_388,i_0_289,i_0_307,i_0_359,i_0_360,i_0_361,i_0_362,i_0_363,i_0_364,i_0_277,i_0_278,i_0_291,i_0_292,i_0_250,i_0_305,i_0_306,i_0_290,i_0_280,i_0_408,i_0_409,i_0_419,i_0_410,i_0_405,i_0_407,i_0_411,i_0_279,i_0_389,i_0_417,i_0_273,i_0_215,i_0_216,i_0_248,i_0_270,i_0_245,i_0_242]) ).

cnf(i_0_2763,plain,
    ssList(esk8_2(esk8_2(nil,nil),nil)),
    inference(scs_inference,[],[i_0_1105,i_0_2007,i_0_1825,i_0_1881,i_0_2235,i_0_2273,i_0_2395,i_0_2595,i_0_2316,i_0_2467,i_0_2593,i_0_2334,i_0_2639,i_0_2641,i_0_2209,i_0_2087,i_0_2655,i_0_1836,i_0_1821,i_0_1863,i_0_1868,i_0_2277,i_0_525,i_0_1820,i_0_494,i_0_2063,i_0_2121,i_0_2119,i_0_380,i_0_386,i_0_304,i_0_308,i_0_293,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299,i_0_356,i_0_353,i_0_354,i_0_357,i_0_358,i_0_390,i_0_391,i_0_392,i_0_393,i_0_394,i_0_395,i_0_396,i_0_397,i_0_398,i_0_399,i_0_400,i_0_401,i_0_388,i_0_289,i_0_307,i_0_359,i_0_360,i_0_361,i_0_362,i_0_363,i_0_364,i_0_277,i_0_278,i_0_291,i_0_292,i_0_250,i_0_305,i_0_306,i_0_290,i_0_280,i_0_408,i_0_409,i_0_419,i_0_410,i_0_405,i_0_407,i_0_411,i_0_279,i_0_389,i_0_417,i_0_273,i_0_215,i_0_216,i_0_248,i_0_270,i_0_245,i_0_242,i_0_243]) ).

cnf(i_0_2765,plain,
    ssList(esk7_2(esk9_2(nil,nil),nil)),
    inference(scs_inference,[],[i_0_1105,i_0_2007,i_0_1825,i_0_1881,i_0_2233,i_0_2235,i_0_2273,i_0_2395,i_0_2595,i_0_2316,i_0_2467,i_0_2593,i_0_2334,i_0_2639,i_0_2641,i_0_2209,i_0_2087,i_0_2655,i_0_1836,i_0_1821,i_0_1863,i_0_1868,i_0_2277,i_0_525,i_0_1820,i_0_494,i_0_2063,i_0_2121,i_0_2119,i_0_380,i_0_386,i_0_304,i_0_308,i_0_293,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299,i_0_356,i_0_353,i_0_354,i_0_357,i_0_358,i_0_390,i_0_391,i_0_392,i_0_393,i_0_394,i_0_395,i_0_396,i_0_397,i_0_398,i_0_399,i_0_400,i_0_401,i_0_388,i_0_289,i_0_307,i_0_359,i_0_360,i_0_361,i_0_362,i_0_363,i_0_364,i_0_277,i_0_278,i_0_291,i_0_292,i_0_250,i_0_305,i_0_306,i_0_290,i_0_280,i_0_408,i_0_409,i_0_419,i_0_410,i_0_405,i_0_407,i_0_411,i_0_279,i_0_389,i_0_417,i_0_273,i_0_215,i_0_216,i_0_248,i_0_270,i_0_245,i_0_242,i_0_243,i_0_244]) ).

cnf(i_0_2767,plain,
    nil != app(cons(esk45_1(esk51_0),esk47_1(esk49_0)),cons(esk45_1(esk51_0),esk47_1(esk49_0))),
    inference(scs_inference,[],[i_0_1105,i_0_2007,i_0_1825,i_0_1881,i_0_2233,i_0_2235,i_0_2273,i_0_2395,i_0_2595,i_0_2316,i_0_2467,i_0_2593,i_0_2334,i_0_2639,i_0_2641,i_0_2209,i_0_2087,i_0_2655,i_0_1836,i_0_1821,i_0_1863,i_0_1868,i_0_2277,i_0_525,i_0_1820,i_0_494,i_0_2063,i_0_2121,i_0_2119,i_0_380,i_0_386,i_0_304,i_0_308,i_0_293,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299,i_0_356,i_0_353,i_0_354,i_0_357,i_0_358,i_0_390,i_0_391,i_0_392,i_0_393,i_0_394,i_0_395,i_0_396,i_0_397,i_0_398,i_0_399,i_0_400,i_0_401,i_0_388,i_0_289,i_0_307,i_0_359,i_0_360,i_0_361,i_0_362,i_0_363,i_0_364,i_0_277,i_0_278,i_0_291,i_0_292,i_0_250,i_0_305,i_0_306,i_0_290,i_0_280,i_0_408,i_0_409,i_0_419,i_0_410,i_0_405,i_0_407,i_0_411,i_0_279,i_0_389,i_0_417,i_0_273,i_0_215,i_0_216,i_0_248,i_0_270,i_0_245,i_0_242,i_0_243,i_0_244,i_0_286]) ).

cnf(i_0_2769,plain,
    app(esk7_2(esk9_2(nil,nil),nil),nil) = esk9_2(nil,nil),
    inference(scs_inference,[],[i_0_1105,i_0_2007,i_0_1825,i_0_1881,i_0_2233,i_0_2235,i_0_2273,i_0_2395,i_0_2595,i_0_2316,i_0_2467,i_0_2593,i_0_2334,i_0_2639,i_0_2641,i_0_2209,i_0_2087,i_0_2655,i_0_1836,i_0_1821,i_0_1863,i_0_1868,i_0_2277,i_0_525,i_0_1820,i_0_494,i_0_2063,i_0_2121,i_0_2119,i_0_380,i_0_386,i_0_304,i_0_308,i_0_293,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299,i_0_356,i_0_353,i_0_354,i_0_357,i_0_358,i_0_390,i_0_391,i_0_392,i_0_393,i_0_394,i_0_395,i_0_396,i_0_397,i_0_398,i_0_399,i_0_400,i_0_401,i_0_388,i_0_289,i_0_307,i_0_359,i_0_360,i_0_361,i_0_362,i_0_363,i_0_364,i_0_277,i_0_278,i_0_291,i_0_292,i_0_250,i_0_305,i_0_306,i_0_290,i_0_280,i_0_408,i_0_409,i_0_419,i_0_410,i_0_405,i_0_407,i_0_411,i_0_279,i_0_389,i_0_417,i_0_273,i_0_215,i_0_216,i_0_248,i_0_270,i_0_245,i_0_242,i_0_243,i_0_244,i_0_286,i_0_234]) ).

cnf(i_0_2771,plain,
    app(nil,esk6_2(esk9_2(nil,nil),nil)) = esk9_2(nil,nil),
    inference(scs_inference,[],[i_0_1105,i_0_2007,i_0_1825,i_0_1881,i_0_2233,i_0_2235,i_0_2273,i_0_2395,i_0_2595,i_0_2316,i_0_2467,i_0_2593,i_0_2334,i_0_2639,i_0_2641,i_0_2209,i_0_2087,i_0_2655,i_0_1836,i_0_1821,i_0_1863,i_0_1868,i_0_2277,i_0_525,i_0_1820,i_0_494,i_0_2063,i_0_2121,i_0_2119,i_0_380,i_0_386,i_0_304,i_0_308,i_0_293,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299,i_0_356,i_0_353,i_0_354,i_0_357,i_0_358,i_0_390,i_0_391,i_0_392,i_0_393,i_0_394,i_0_395,i_0_396,i_0_397,i_0_398,i_0_399,i_0_400,i_0_401,i_0_388,i_0_289,i_0_307,i_0_359,i_0_360,i_0_361,i_0_362,i_0_363,i_0_364,i_0_277,i_0_278,i_0_291,i_0_292,i_0_250,i_0_305,i_0_306,i_0_290,i_0_280,i_0_408,i_0_409,i_0_419,i_0_410,i_0_405,i_0_407,i_0_411,i_0_279,i_0_389,i_0_417,i_0_273,i_0_215,i_0_216,i_0_248,i_0_270,i_0_245,i_0_242,i_0_243,i_0_244,i_0_286,i_0_234,i_0_235]) ).

cnf(i_0_2773,plain,
    app(app(esk8_2(esk8_2(nil,nil),nil),nil),esk9_2(esk8_2(nil,nil),nil)) = esk8_2(nil,nil),
    inference(scs_inference,[],[i_0_1105,i_0_2007,i_0_1825,i_0_1881,i_0_2233,i_0_2235,i_0_2273,i_0_2395,i_0_2595,i_0_2316,i_0_2467,i_0_2593,i_0_2334,i_0_2639,i_0_2641,i_0_2209,i_0_2087,i_0_2655,i_0_1836,i_0_1821,i_0_1863,i_0_1868,i_0_2277,i_0_525,i_0_1820,i_0_494,i_0_2063,i_0_2121,i_0_2119,i_0_380,i_0_386,i_0_304,i_0_308,i_0_293,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299,i_0_356,i_0_353,i_0_354,i_0_357,i_0_358,i_0_390,i_0_391,i_0_392,i_0_393,i_0_394,i_0_395,i_0_396,i_0_397,i_0_398,i_0_399,i_0_400,i_0_401,i_0_388,i_0_289,i_0_307,i_0_359,i_0_360,i_0_361,i_0_362,i_0_363,i_0_364,i_0_277,i_0_278,i_0_291,i_0_292,i_0_250,i_0_305,i_0_306,i_0_290,i_0_280,i_0_408,i_0_409,i_0_419,i_0_410,i_0_405,i_0_407,i_0_411,i_0_279,i_0_389,i_0_417,i_0_273,i_0_215,i_0_216,i_0_248,i_0_270,i_0_245,i_0_242,i_0_243,i_0_244,i_0_286,i_0_234,i_0_235,i_0_204]) ).

cnf(i_0_2775,plain,
    neq(esk2_0,hd(cons(esk1_0,nil))),
    inference(scs_inference,[],[i_0_1105,i_0_2007,i_0_1825,i_0_1881,i_0_2233,i_0_2235,i_0_2273,i_0_2395,i_0_2595,i_0_2316,i_0_2467,i_0_2466,i_0_2593,i_0_2334,i_0_2639,i_0_2641,i_0_2209,i_0_2087,i_0_2655,i_0_1836,i_0_1821,i_0_1863,i_0_2085,i_0_1868,i_0_2277,i_0_525,i_0_1820,i_0_494,i_0_2063,i_0_2121,i_0_2119,i_0_380,i_0_386,i_0_381,i_0_304,i_0_308,i_0_293,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299,i_0_356,i_0_353,i_0_354,i_0_357,i_0_358,i_0_390,i_0_391,i_0_392,i_0_393,i_0_394,i_0_395,i_0_396,i_0_397,i_0_398,i_0_399,i_0_400,i_0_401,i_0_388,i_0_289,i_0_307,i_0_359,i_0_360,i_0_361,i_0_362,i_0_363,i_0_364,i_0_277,i_0_278,i_0_291,i_0_292,i_0_250,i_0_305,i_0_306,i_0_290,i_0_280,i_0_408,i_0_409,i_0_419,i_0_410,i_0_405,i_0_407,i_0_411,i_0_279,i_0_389,i_0_417,i_0_273,i_0_215,i_0_216,i_0_248,i_0_270,i_0_245,i_0_242,i_0_243,i_0_244,i_0_286,i_0_234,i_0_235,i_0_204,i_0_303]) ).

cnf(c_0_2770,plain,
    tl(cons(hd(esk51_0),esk44_1(esk49_0))) = esk44_1(esk49_0),
    i_0_2718 ).

cnf(c_0_2771,negated_conjecture,
    esk49_0 = esk51_0,
    i_0_385 ).

cnf(c_0_2772,plain,
    ssList(cons(hd(esk51_0),esk44_1(esk49_0))),
    i_0_2734 ).

cnf(c_0_2773,plain,
    nil != cons(hd(esk51_0),esk44_1(esk49_0)),
    i_0_2732 ).

cnf(c_0_2774,plain,
    app(nil,esk49_0) != app(nil,nil),
    i_0_2701 ).

cnf(c_0_2775,plain,
    ( nil = app(X1,X2)
    | nil != X2
    | nil != X1
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    i_0_301 ).

cnf(c_0_2776,plain,
    ssList(nil),
    i_0_380 ).

cnf(c_0_2777,plain,
    ( nil = X1
    | ssList(tl(X1))
    | ~ ssList(X1) ),
    i_0_361 ).

cnf(c_0_2778,plain,
    tl(cons(hd(esk51_0),esk44_1(esk51_0))) = esk44_1(esk51_0),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_2770,c_0_2771]),c_0_2771]) ).

cnf(c_0_2779,plain,
    ssList(cons(hd(esk51_0),esk44_1(esk51_0))),
    inference(rw,[status(thm)],[c_0_2772,c_0_2771]) ).

cnf(c_0_2780,plain,
    cons(hd(esk51_0),esk44_1(esk51_0)) != nil,
    inference(rw,[status(thm)],[c_0_2773,c_0_2771]) ).

cnf(c_0_2781,plain,
    ssItem(hd(cons(esk45_1(esk51_0),esk47_1(esk49_0)))),
    i_0_2716 ).

cnf(c_0_2782,plain,
    hd(cons(esk45_1(esk51_0),esk47_1(esk49_0))) = esk45_1(esk51_0),
    i_0_2581 ).

cnf(c_0_2783,plain,
    app(nil,esk51_0) != app(nil,nil),
    inference(rw,[status(thm)],[c_0_2774,c_0_2771]) ).

cnf(c_0_2784,plain,
    app(nil,nil) = nil,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_2775])]),c_0_2776])]) ).

cnf(c_0_2785,negated_conjecture,
    ssList(esk49_0),
    i_0_378 ).

cnf(c_0_2786,plain,
    ( X1 = X2
    | cons(X1,X3) != cons(X2,X4)
    | ~ ssItem(X2)
    | ~ ssItem(X1)
    | ~ ssList(X4)
    | ~ ssList(X3) ),
    i_0_236 ).

cnf(c_0_2787,plain,
    ssList(esk44_1(esk51_0)),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_2777,c_0_2778]),c_0_2779])]),c_0_2780]) ).

cnf(c_0_2788,plain,
    ssItem(hd(cons(esk45_1(esk51_0),esk47_1(esk51_0)))),
    inference(rw,[status(thm)],[c_0_2781,c_0_2771]) ).

cnf(c_0_2789,plain,
    hd(cons(esk45_1(esk51_0),esk47_1(esk51_0))) = esk45_1(esk51_0),
    inference(rw,[status(thm)],[c_0_2782,c_0_2771]) ).

cnf(c_0_2790,plain,
    app(nil,esk51_0) != nil,
    inference(rw,[status(thm)],[c_0_2783,c_0_2784]) ).

cnf(c_0_2791,plain,
    ( app(nil,X1) = X1
    | ~ ssList(X1) ),
    i_0_353 ).

cnf(c_0_2792,negated_conjecture,
    ssList(esk51_0),
    inference(rw,[status(thm)],[c_0_2785,c_0_2771]) ).

cnf(c_0_2793,plain,
    hd(cons(hd(esk51_0),esk44_1(esk49_0))) = hd(esk51_0),
    i_0_2720 ).

cnf(c_0_2794,plain,
    ( X1 = X2
    | cons(X1,X3) != cons(X2,esk44_1(esk51_0))
    | ~ ssList(X3)
    | ~ ssItem(X2)
    | ~ ssItem(X1) ),
    inference(spm,[status(thm)],[c_0_2786,c_0_2787]) ).

cnf(c_0_2795,plain,
    ( cons(esk45_1(X1),esk44_1(X1)) = X1
    | nil = X1
    | ~ ssList(X1) ),
    i_0_291 ).

cnf(c_0_2796,plain,
    ssItem(esk45_1(esk51_0)),
    inference(rw,[status(thm)],[c_0_2788,c_0_2789]) ).

cnf(c_0_2797,plain,
    esk51_0 != nil,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_2790,c_0_2791]),c_0_2792])]) ).

cnf(c_0_2798,plain,
    ( nil = X1
    | ssItem(hd(X1))
    | ~ ssList(X1) ),
    i_0_364 ).

cnf(c_0_2799,plain,
    hd(cons(hd(esk51_0),esk44_1(esk51_0))) = hd(esk51_0),
    inference(rw,[status(thm)],[c_0_2793,c_0_2771]) ).

cnf(c_0_2800,plain,
    ssList(tl(cons(esk45_1(esk51_0),esk47_1(esk49_0)))),
    i_0_2710 ).

cnf(c_0_2801,plain,
    tl(cons(esk45_1(esk51_0),esk47_1(esk49_0))) = esk47_1(esk49_0),
    i_0_2579 ).

cnf(c_0_2802,plain,
    ( X1 = esk45_1(esk51_0)
    | cons(X1,X2) != esk51_0
    | ~ ssList(X2)
    | ~ ssItem(X1) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_2794,c_0_2795]),c_0_2796]),c_0_2792])]),c_0_2797]) ).

cnf(c_0_2803,plain,
    ( nil = X1
    | cons(hd(X1),tl(X1)) = X1
    | ~ ssList(X1) ),
    i_0_292 ).

cnf(c_0_2804,plain,
    ssItem(hd(esk51_0)),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_2798,c_0_2799]),c_0_2779])]),c_0_2780]) ).

cnf(c_0_2805,plain,
    ssList(tl(cons(esk45_1(esk51_0),esk47_1(esk51_0)))),
    inference(rw,[status(thm)],[c_0_2800,c_0_2771]) ).

cnf(c_0_2806,plain,
    tl(cons(esk45_1(esk51_0),esk47_1(esk51_0))) = esk47_1(esk51_0),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_2801,c_0_2771]),c_0_2771]) ).

cnf(c_0_2807,plain,
    ( esk45_1(esk51_0) = hd(esk51_0)
    | ~ ssList(tl(esk51_0)) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_2802,c_0_2803])]),c_0_2804]),c_0_2792])]),c_0_2797]) ).

cnf(c_0_2808,plain,
    ( tl(X1) = esk47_1(X1)
    | nil = X1
    | ~ ssList(X1) ),
    i_0_365 ).

cnf(c_0_2809,plain,
    ssList(esk47_1(esk51_0)),
    inference(rw,[status(thm)],[c_0_2805,c_0_2806]) ).

cnf(c_0_2810,plain,
    ~ neq(esk48_0,app(esk48_0,nil)),
    i_0_2609 ).

cnf(c_0_2811,plain,
    ( X1 = X2
    | neq(X1,X2)
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    i_0_302 ).

cnf(c_0_2812,negated_conjecture,
    ssList(esk48_0),
    i_0_379 ).

cnf(c_0_2813,plain,
    ( hd(X1) = esk46_1(X1)
    | nil = X1
    | ~ ssList(X1) ),
    i_0_366 ).

cnf(c_0_2814,plain,
    esk45_1(esk51_0) = hd(esk51_0),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_2807,c_0_2808]),c_0_2809]),c_0_2792])]),c_0_2797]) ).

cnf(c_0_2815,plain,
    ( app(esk48_0,nil) = esk48_0
    | ~ ssList(app(esk48_0,nil)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_2810,c_0_2811]),c_0_2812])]) ).

cnf(c_0_2816,plain,
    ( ssList(app(X1,X2))
    | ~ ssList(X1)
    | ~ ssList(X2) ),
    i_0_279 ).

cnf(c_0_2817,plain,
    ( frontsegP(X1,X2)
    | ~ ssList(X3)
    | app(X2,X3) != X1
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    i_0_257 ).

cnf(c_0_2818,plain,
    cons(hd(esk51_0),esk44_1(esk49_0)) = app(cons(hd(esk51_0),nil),esk44_1(esk49_0)),
    i_0_2726 ).

cnf(c_0_2819,plain,
    esk46_1(cons(hd(esk51_0),esk44_1(esk51_0))) = hd(esk51_0),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_2813,c_0_2799]),c_0_2779])]),c_0_2780]) ).

cnf(c_0_2820,plain,
    cons(hd(esk51_0),esk44_1(esk51_0)) = esk51_0,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_2795,c_0_2814]),c_0_2792])]),c_0_2797]) ).

cnf(c_0_2821,plain,
    esk47_1(cons(hd(esk51_0),esk44_1(esk51_0))) = esk44_1(esk51_0),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_2808,c_0_2778]),c_0_2779])]),c_0_2780]) ).

cnf(c_0_2822,plain,
    ( X1 = X2
    | ~ ssList(X2)
    | ~ ssList(X3)
    | ~ ssList(X1)
    | app(X3,X1) != app(X3,X2) ),
    i_0_241 ).

cnf(c_0_2823,plain,
    app(esk48_0,nil) = esk48_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_2815,c_0_2816]),c_0_2776]),c_0_2812])]) ).

cnf(c_0_2824,plain,
    ( frontsegP(app(X1,X2),X1)
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_2817]),c_0_2816]) ).

cnf(c_0_2825,negated_conjecture,
    ( ~ ssItem(X1)
    | ~ ssList(X2)
    | ~ ssList(X3)
    | app(app(X2,cons(X1,nil)),X3) != esk49_0
    | app(app(X3,cons(X1,nil)),X2) != esk48_0 ),
    i_0_189 ).

cnf(c_0_2826,negated_conjecture,
    ( app(X1,cons(X2,nil)) = esk50_0
    | ~ ssItem(X2)
    | ~ ssList(X1)
    | app(cons(X2,nil),X1) != esk51_0 ),
    i_0_211 ).

cnf(c_0_2827,negated_conjecture,
    esk48_0 = esk50_0,
    i_0_386 ).

cnf(c_0_2828,plain,
    app(cons(hd(esk51_0),nil),esk44_1(esk51_0)) = cons(hd(esk51_0),esk44_1(esk51_0)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_2818,c_0_2771]),c_0_2771]) ).

cnf(c_0_2829,plain,
    hd(esk51_0) = esk46_1(esk51_0),
    inference(rw,[status(thm)],[c_0_2819,c_0_2820]) ).

cnf(c_0_2830,plain,
    esk44_1(esk51_0) = esk47_1(esk51_0),
    inference(rw,[status(thm)],[c_0_2821,c_0_2820]) ).

cnf(c_0_2831,plain,
    ( X1 = nil
    | app(esk48_0,X1) != esk48_0
    | ~ ssList(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_2822,c_0_2823]),c_0_2812]),c_0_2776])]) ).

cnf(c_0_2832,plain,
    ( app(X1,esk6_2(X2,X1)) = X2
    | ~ frontsegP(X2,X1)
    | ~ ssList(X1)
    | ~ ssList(X2) ),
    i_0_235 ).

cnf(c_0_2833,plain,
    frontsegP(esk48_0,esk48_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_2824,c_0_2823]),c_0_2776]),c_0_2812])]) ).

cnf(c_0_2834,plain,
    ssList(app(cons(esk46_1(esk49_0),nil),app(nil,nil))),
    i_0_2608 ).

cnf(c_0_2835,negated_conjecture,
    ( app(app(X1,cons(X2,nil)),X3) != esk48_0
    | app(app(X3,cons(X2,nil)),X1) != esk51_0
    | ~ ssList(X1)
    | ~ ssList(X3)
    | ~ ssItem(X2) ),
    inference(rw,[status(thm)],[c_0_2825,c_0_2771]) ).

cnf(c_0_2836,negated_conjecture,
    ( app(X1,cons(X2,nil)) = esk48_0
    | app(cons(X2,nil),X1) != esk51_0
    | ~ ssList(X1)
    | ~ ssItem(X2) ),
    inference(rw,[status(thm)],[c_0_2826,c_0_2827]) ).

cnf(c_0_2837,plain,
    app(cons(esk46_1(esk51_0),nil),esk47_1(esk51_0)) = esk51_0,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_2828,c_0_2820]),c_0_2829]),c_0_2830]) ).

cnf(c_0_2838,plain,
    ssItem(esk46_1(esk51_0)),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_2804,c_0_2813]),c_0_2792])]),c_0_2797]) ).

cnf(c_0_2839,plain,
    ( esk6_2(esk48_0,esk48_0) = nil
    | ~ ssList(esk6_2(esk48_0,esk48_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_2831,c_0_2832]),c_0_2812])])]),c_0_2833]),c_0_2812])]) ).

cnf(c_0_2840,plain,
    ( ssList(esk6_2(X1,X2))
    | ~ frontsegP(X1,X2)
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    i_0_245 ).

cnf(c_0_2841,plain,
    ssList(app(cons(esk46_1(esk51_0),nil),app(nil,nil))),
    inference(rw,[status(thm)],[c_0_2834,c_0_2771]) ).

cnf(c_0_2842,negated_conjecture,
    ( app(app(esk6_2(esk48_0,app(X1,cons(X2,nil))),cons(X2,nil)),X1) != esk51_0
    | ~ frontsegP(esk48_0,app(X1,cons(X2,nil)))
    | ~ ssList(esk6_2(esk48_0,app(X1,cons(X2,nil))))
    | ~ ssList(app(X1,cons(X2,nil)))
    | ~ ssList(X1)
    | ~ ssItem(X2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_2835,c_0_2832])]),c_0_2812])]) ).

cnf(c_0_2843,negated_conjecture,
    app(esk47_1(esk51_0),cons(esk46_1(esk51_0),nil)) = esk48_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_2836,c_0_2837]),c_0_2809]),c_0_2838])]) ).

cnf(c_0_2844,plain,
    esk6_2(esk48_0,esk48_0) = nil,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_2839,c_0_2840]),c_0_2833]),c_0_2812])]) ).

cnf(c_0_2845,plain,
    ssList(app(cons(esk46_1(esk51_0),nil),nil)),
    inference(rw,[status(thm)],[c_0_2841,c_0_2784]) ).

cnf(c_0_2846,plain,
    ( cons(X1,X2) = app(cons(X1,nil),X2)
    | ~ ssList(X2)
    | ~ ssItem(X1) ),
    i_0_250 ).

cnf(c_0_2847,negated_conjecture,
    app(app(nil,cons(esk46_1(esk51_0),nil)),esk47_1(esk51_0)) != esk51_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_2842,c_0_2843]),c_0_2844]),c_0_2833]),c_0_2844]),c_0_2776]),c_0_2812]),c_0_2809]),c_0_2838])]) ).

cnf(c_0_2848,plain,
    ssList(cons(esk46_1(esk51_0),nil)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_2845,c_0_2846]),c_0_2776]),c_0_2838])]) ).

cnf(c_0_2849,plain,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_2847,c_0_2791]),c_0_2837]),c_0_2848])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : SWC420+1 : TPTP v9.2.1. Released v2.4.0.
% 0.00/0.12  % Command    : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.14/0.32  % Computer : n005.cluster.edu
% 0.14/0.32  % Model    : x86_64 x86_64
% 0.14/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.32  % Memory   : 8042.1875MB
% 0.14/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.32  % CPULimit   : 300
% 0.14/0.32  % WCLimit    : 300
% 0.14/0.32  % DateTime   : Tue May  5 04:49:15 EDT 2026
% 0.14/0.32  % CPUTime    : 
% 0.14/0.33  % start to proof: theBenchmark
% 199.86/142.35  % Version  : CSE_E---1.7
% 199.86/142.35  % Problem  : theBenchmark.p
% 199.86/142.35  % SZS status Theorem for theBenchmark.p
% 199.86/142.35  % SZS output start CNFRefutation
% See solution above
% 211.46/153.98  % Total time : 141.884s
%------------------------------------------------------------------------------