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CSE_E---1.7.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : CSE_E---1.7
% Problem  : SWC274+1 : TPTP v9.2.1. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d

% Computer : n026.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 05:18:59 PM UTC 2026

% Result   : Theorem 205.20s 125.70s
% Output   : CNFRefutation 216.40s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named i_0_464)

% Comments : 
%------------------------------------------------------------------------------
fof(co1,conjecture,
    ! [X1] :
      ( ssList(X1)
     => ! [X2] :
          ( ssList(X2)
         => ! [X3] :
              ( ssList(X3)
             => ! [X4] :
                  ( ~ ssList(X4)
                  | X2 != X4
                  | X1 != X3
                  | ! [X5] :
                      ( ssList(X5)
                     => ! [X6] :
                          ( ~ ssList(X6)
                          | app(app(X5,X3),X6) != X4
                          | ~ strictorderedP(X3)
                          | ? [X7] :
                              ( ssItem(X7)
                              & ? [X8] :
                                  ( ssList(X8)
                                  & app(X8,cons(X7,nil)) = X5
                                  & ? [X9] :
                                      ( ssItem(X9)
                                      & ? [X10] :
                                          ( ssList(X10)
                                          & app(cons(X9,nil),X10) = X3
                                          & lt(X7,X9) ) ) ) )
                          | ? [X11] :
                              ( ssItem(X11)
                              & ? [X12] :
                                  ( ssList(X12)
                                  & app(cons(X11,nil),X12) = X6
                                  & ? [X13] :
                                      ( ssItem(X13)
                                      & ? [X14] :
                                          ( ssList(X14)
                                          & app(X14,cons(X13,nil)) = X3
                                          & lt(X13,X11) ) ) ) ) ) )
                  | totalorderedP(X1)
                  | ( nil != X4
                    & nil = X3 ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).

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

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

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

fof(ax38,axiom,
    ! [X1] :
      ( ssItem(X1)
     => ~ memberP(nil,X1) ),
    file('/export/starexec/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/benchmark/Axioms/SWC001+0.ax',ax92) ).

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

fof(ax32,axiom,
    ! [X1] :
      ( ssItem(X1)
     => ! [X2] :
          ( ssItem(X2)
         => ( geq(X1,X2)
          <=> leq(X2,X1) ) ) ),
    file('/export/starexec/sandbox/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/sandbox/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/sandbox/benchmark/Axioms/SWC001+0.ax',ax77) ).

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

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

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

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

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

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

fof(ax4,axiom,
    ! [X1] :
      ( ssList(X1)
     => ( singletonP(X1)
      <=> ? [X2] :
            ( ssItem(X2)
            & cons(X2,nil) = X1 ) ) ),
    file('/export/starexec/sandbox/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/sandbox/benchmark/Axioms/SWC001+0.ax',ax83) ).

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

fof(ax21,axiom,
    ! [X1] :
      ( ssList(X1)
     => ! [X2] :
          ( ssItem(X2)
         => nil != cons(X2,X1) ) ),
    file('/export/starexec/sandbox/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/sandbox/benchmark/Axioms/SWC001+0.ax',ax20) ).

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

fof(ax17,axiom,
    ssList(nil),
    file('/export/starexec/sandbox/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
                    | ! [X5] :
                        ( ssList(X5)
                       => ! [X6] :
                            ( ~ ssList(X6)
                            | app(app(X5,X3),X6) != X4
                            | ~ strictorderedP(X3)
                            | ? [X7] :
                                ( ssItem(X7)
                                & ? [X8] :
                                    ( ssList(X8)
                                    & app(X8,cons(X7,nil)) = X5
                                    & ? [X9] :
                                        ( ssItem(X9)
                                        & ? [X10] :
                                            ( ssList(X10)
                                            & app(cons(X9,nil),X10) = X3
                                            & lt(X7,X9) ) ) ) )
                            | ? [X11] :
                                ( ssItem(X11)
                                & ? [X12] :
                                    ( ssList(X12)
                                    & app(cons(X11,nil),X12) = X6
                                    & ? [X13] :
                                        ( ssItem(X13)
                                        & ? [X14] :
                                            ( ssList(X14)
                                            & app(X14,cons(X13,nil)) = X3
                                            & lt(X13,X11) ) ) ) ) ) )
                    | totalorderedP(X1)
                    | ( nil != X4
                      & nil = X3 ) ) ) ) ),
    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,plain,
    ! [X259,X260,X261,X262,X263,X264] :
      ( ( ~ cyclefreeP(X259)
        | ~ ssItem(X260)
        | ~ ssItem(X261)
        | ~ ssList(X262)
        | ~ ssList(X263)
        | ~ ssList(X264)
        | app(app(X262,cons(X260,X263)),cons(X261,X264)) != X259
        | ~ leq(X260,X261)
        | ~ leq(X261,X260)
        | ~ ssList(X259) )
      & ( ssItem(esk10_1(X259))
        | cyclefreeP(X259)
        | ~ ssList(X259) )
      & ( ssItem(esk11_1(X259))
        | cyclefreeP(X259)
        | ~ ssList(X259) )
      & ( ssList(esk12_1(X259))
        | cyclefreeP(X259)
        | ~ ssList(X259) )
      & ( ssList(esk13_1(X259))
        | cyclefreeP(X259)
        | ~ ssList(X259) )
      & ( ssList(esk14_1(X259))
        | cyclefreeP(X259)
        | ~ ssList(X259) )
      & ( app(app(esk12_1(X259),cons(esk10_1(X259),esk13_1(X259))),cons(esk11_1(X259),esk14_1(X259))) = X259
        | cyclefreeP(X259)
        | ~ ssList(X259) )
      & ( leq(esk10_1(X259),esk11_1(X259))
        | cyclefreeP(X259)
        | ~ ssList(X259) )
      & ( leq(esk11_1(X259),esk10_1(X259))
        | cyclefreeP(X259)
        | ~ ssList(X259) ) ),
    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_102,plain,
    ! [X281,X282,X283,X284,X285,X286] :
      ( ( ~ strictorderP(X281)
        | ~ ssItem(X282)
        | ~ ssItem(X283)
        | ~ ssList(X284)
        | ~ ssList(X285)
        | ~ ssList(X286)
        | app(app(X284,cons(X282,X285)),cons(X283,X286)) != X281
        | lt(X282,X283)
        | lt(X283,X282)
        | ~ ssList(X281) )
      & ( ssItem(esk20_1(X281))
        | strictorderP(X281)
        | ~ ssList(X281) )
      & ( ssItem(esk21_1(X281))
        | strictorderP(X281)
        | ~ ssList(X281) )
      & ( ssList(esk22_1(X281))
        | strictorderP(X281)
        | ~ ssList(X281) )
      & ( ssList(esk23_1(X281))
        | strictorderP(X281)
        | ~ ssList(X281) )
      & ( ssList(esk24_1(X281))
        | strictorderP(X281)
        | ~ ssList(X281) )
      & ( app(app(esk22_1(X281),cons(esk20_1(X281),esk23_1(X281))),cons(esk21_1(X281),esk24_1(X281))) = X281
        | strictorderP(X281)
        | ~ ssList(X281) )
      & ( ~ lt(esk20_1(X281),esk21_1(X281))
        | strictorderP(X281)
        | ~ ssList(X281) )
      & ( ~ lt(esk21_1(X281),esk20_1(X281))
        | strictorderP(X281)
        | ~ ssList(X281) ) ),
    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_103,plain,
    ! [X270,X271,X272,X273,X274,X275] :
      ( ( ~ totalorderP(X270)
        | ~ ssItem(X271)
        | ~ ssItem(X272)
        | ~ ssList(X273)
        | ~ ssList(X274)
        | ~ ssList(X275)
        | app(app(X273,cons(X271,X274)),cons(X272,X275)) != X270
        | leq(X271,X272)
        | leq(X272,X271)
        | ~ ssList(X270) )
      & ( ssItem(esk15_1(X270))
        | totalorderP(X270)
        | ~ ssList(X270) )
      & ( ssItem(esk16_1(X270))
        | totalorderP(X270)
        | ~ ssList(X270) )
      & ( ssList(esk17_1(X270))
        | totalorderP(X270)
        | ~ ssList(X270) )
      & ( ssList(esk18_1(X270))
        | totalorderP(X270)
        | ~ ssList(X270) )
      & ( ssList(esk19_1(X270))
        | totalorderP(X270)
        | ~ ssList(X270) )
      & ( app(app(esk17_1(X270),cons(esk15_1(X270),esk18_1(X270))),cons(esk16_1(X270),esk19_1(X270))) = X270
        | totalorderP(X270)
        | ~ ssList(X270) )
      & ( ~ leq(esk15_1(X270),esk16_1(X270))
        | totalorderP(X270)
        | ~ ssList(X270) )
      & ( ~ leq(esk16_1(X270),esk15_1(X270))
        | totalorderP(X270)
        | ~ ssList(X270) ) ),
    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_104,plain,
    ! [X303,X304,X305,X306,X307,X308] :
      ( ( ~ strictorderedP(X303)
        | ~ ssItem(X304)
        | ~ ssItem(X305)
        | ~ ssList(X306)
        | ~ ssList(X307)
        | ~ ssList(X308)
        | app(app(X306,cons(X304,X307)),cons(X305,X308)) != X303
        | lt(X304,X305)
        | ~ ssList(X303) )
      & ( ssItem(esk30_1(X303))
        | strictorderedP(X303)
        | ~ ssList(X303) )
      & ( ssItem(esk31_1(X303))
        | strictorderedP(X303)
        | ~ ssList(X303) )
      & ( ssList(esk32_1(X303))
        | strictorderedP(X303)
        | ~ ssList(X303) )
      & ( ssList(esk33_1(X303))
        | strictorderedP(X303)
        | ~ ssList(X303) )
      & ( ssList(esk34_1(X303))
        | strictorderedP(X303)
        | ~ ssList(X303) )
      & ( app(app(esk32_1(X303),cons(esk30_1(X303),esk33_1(X303))),cons(esk31_1(X303),esk34_1(X303))) = X303
        | strictorderedP(X303)
        | ~ ssList(X303) )
      & ( ~ lt(esk30_1(X303),esk31_1(X303))
        | strictorderedP(X303)
        | ~ ssList(X303) ) ),
    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_105,plain,
    ! [X292,X293,X294,X295,X296,X297] :
      ( ( ~ totalorderedP(X292)
        | ~ ssItem(X293)
        | ~ ssItem(X294)
        | ~ ssList(X295)
        | ~ ssList(X296)
        | ~ ssList(X297)
        | app(app(X295,cons(X293,X296)),cons(X294,X297)) != X292
        | leq(X293,X294)
        | ~ ssList(X292) )
      & ( ssItem(esk25_1(X292))
        | totalorderedP(X292)
        | ~ ssList(X292) )
      & ( ssItem(esk26_1(X292))
        | totalorderedP(X292)
        | ~ ssList(X292) )
      & ( ssList(esk27_1(X292))
        | totalorderedP(X292)
        | ~ ssList(X292) )
      & ( ssList(esk28_1(X292))
        | totalorderedP(X292)
        | ~ ssList(X292) )
      & ( ssList(esk29_1(X292))
        | totalorderedP(X292)
        | ~ ssList(X292) )
      & ( app(app(esk27_1(X292),cons(esk25_1(X292),esk28_1(X292))),cons(esk26_1(X292),esk29_1(X292))) = X292
        | totalorderedP(X292)
        | ~ ssList(X292) )
      & ( ~ leq(esk25_1(X292),esk26_1(X292))
        | totalorderedP(X292)
        | ~ ssList(X292) ) ),
    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_106,plain,
    ! [X314,X315,X316,X317,X318,X319] :
      ( ( ~ duplicatefreeP(X314)
        | ~ ssItem(X315)
        | ~ ssItem(X316)
        | ~ ssList(X317)
        | ~ ssList(X318)
        | ~ ssList(X319)
        | app(app(X317,cons(X315,X318)),cons(X316,X319)) != X314
        | X315 != X316
        | ~ ssList(X314) )
      & ( ssItem(esk35_1(X314))
        | duplicatefreeP(X314)
        | ~ ssList(X314) )
      & ( ssItem(esk36_1(X314))
        | duplicatefreeP(X314)
        | ~ ssList(X314) )
      & ( ssList(esk37_1(X314))
        | duplicatefreeP(X314)
        | ~ ssList(X314) )
      & ( ssList(esk38_1(X314))
        | duplicatefreeP(X314)
        | ~ ssList(X314) )
      & ( ssList(esk39_1(X314))
        | duplicatefreeP(X314)
        | ~ ssList(X314) )
      & ( app(app(esk37_1(X314),cons(esk35_1(X314),esk38_1(X314))),cons(esk36_1(X314),esk39_1(X314))) = X314
        | duplicatefreeP(X314)
        | ~ ssList(X314) )
      & ( esk35_1(X314) = esk36_1(X314)
        | duplicatefreeP(X314)
        | ~ ssList(X314) ) ),
    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_107,plain,
    ! [X325,X326,X327,X328,X329] :
      ( ( ~ equalelemsP(X325)
        | ~ ssItem(X326)
        | ~ ssItem(X327)
        | ~ ssList(X328)
        | ~ ssList(X329)
        | app(X328,cons(X326,cons(X327,X329))) != X325
        | X326 = X327
        | ~ ssList(X325) )
      & ( ssItem(esk40_1(X325))
        | equalelemsP(X325)
        | ~ ssList(X325) )
      & ( ssItem(esk41_1(X325))
        | equalelemsP(X325)
        | ~ ssList(X325) )
      & ( ssList(esk42_1(X325))
        | equalelemsP(X325)
        | ~ ssList(X325) )
      & ( ssList(esk43_1(X325))
        | equalelemsP(X325)
        | ~ ssList(X325) )
      & ( app(esk42_1(X325),cons(esk40_1(X325),cons(esk41_1(X325),esk43_1(X325)))) = X325
        | equalelemsP(X325)
        | ~ ssList(X325) )
      & ( esk40_1(X325) != esk41_1(X325)
        | equalelemsP(X325)
        | ~ ssList(X325) ) ),
    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_108,negated_conjecture,
    ! [X482,X483,X484,X485,X486,X487,X488,X489] :
      ( ssList(esk48_0)
      & ssList(esk49_0)
      & ssList(esk50_0)
      & ssList(esk51_0)
      & esk49_0 = esk51_0
      & esk48_0 = esk50_0
      & ssList(esk52_0)
      & ssList(esk53_0)
      & app(app(esk52_0,esk50_0),esk53_0) = esk51_0
      & strictorderedP(esk50_0)
      & ( ~ ssItem(X482)
        | ~ ssList(X483)
        | app(X483,cons(X482,nil)) != esk52_0
        | ~ ssItem(X484)
        | ~ ssList(X485)
        | app(cons(X484,nil),X485) != esk50_0
        | ~ lt(X482,X484) )
      & ( ~ ssItem(X486)
        | ~ ssList(X487)
        | app(cons(X486,nil),X487) != esk53_0
        | ~ ssItem(X488)
        | ~ ssList(X489)
        | app(X489,cons(X488,nil)) != esk50_0
        | ~ lt(X488,X486) )
      & ~ totalorderedP(esk48_0)
      & ( nil = esk51_0
        | nil != esk50_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_109,plain,
    ! [X253,X254,X257,X258] :
      ( ( ssList(esk8_2(X253,X254))
        | ~ segmentP(X253,X254)
        | ~ ssList(X254)
        | ~ ssList(X253) )
      & ( ssList(esk9_2(X253,X254))
        | ~ segmentP(X253,X254)
        | ~ ssList(X254)
        | ~ ssList(X253) )
      & ( app(app(esk8_2(X253,X254),X254),esk9_2(X253,X254)) = X253
        | ~ segmentP(X253,X254)
        | ~ ssList(X254)
        | ~ ssList(X253) )
      & ( ~ ssList(X257)
        | ~ ssList(X258)
        | app(app(X257,X254),X258) != X253
        | segmentP(X253,X254)
        | ~ ssList(X254)
        | ~ ssList(X253) ) ),
    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,
    ! [X236,X237,X240,X241] :
      ( ( ssList(esk3_2(X236,X237))
        | ~ memberP(X236,X237)
        | ~ ssItem(X237)
        | ~ ssList(X236) )
      & ( ssList(esk4_2(X236,X237))
        | ~ memberP(X236,X237)
        | ~ ssItem(X237)
        | ~ ssList(X236) )
      & ( app(esk3_2(X236,X237),cons(X237,esk4_2(X236,X237))) = X236
        | ~ memberP(X236,X237)
        | ~ ssItem(X237)
        | ~ ssList(X236) )
      & ( ~ ssList(X240)
        | ~ ssList(X241)
        | app(X240,cons(X237,X241)) != X236
        | memberP(X236,X237)
        | ~ ssItem(X237)
        | ~ ssList(X236) ) ),
    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,
    ! [X392,X393,X394,X395] :
      ( ( X392 = X393
        | ~ frontsegP(cons(X392,X394),cons(X393,X395))
        | ~ ssList(X395)
        | ~ ssList(X394)
        | ~ ssItem(X393)
        | ~ ssItem(X392) )
      & ( frontsegP(X394,X395)
        | ~ frontsegP(cons(X392,X394),cons(X393,X395))
        | ~ ssList(X395)
        | ~ ssList(X394)
        | ~ ssItem(X393)
        | ~ ssItem(X392) )
      & ( X392 != X393
        | ~ frontsegP(X394,X395)
        | frontsegP(cons(X392,X394),cons(X393,X395))
        | ~ ssList(X395)
        | ~ ssList(X394)
        | ~ ssItem(X393)
        | ~ ssItem(X392) ) ),
    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,
    ! [X415,X416,X417,X418] :
      ( ~ ssList(X415)
      | ~ ssList(X416)
      | ~ ssList(X417)
      | ~ ssList(X418)
      | ~ segmentP(X415,X416)
      | segmentP(app(app(X417,X415),X418),X416) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax56])])]) ).

fof(i_0_113,plain,
    ! [X376,X377,X378] :
      ( ( ~ memberP(app(X377,X378),X376)
        | memberP(X377,X376)
        | memberP(X378,X376)
        | ~ ssList(X378)
        | ~ ssList(X377)
        | ~ ssItem(X376) )
      & ( ~ memberP(X377,X376)
        | memberP(app(X377,X378),X376)
        | ~ ssList(X378)
        | ~ ssList(X377)
        | ~ ssItem(X376) )
      & ( ~ memberP(X378,X376)
        | memberP(app(X377,X378),X376)
        | ~ ssList(X378)
        | ~ ssList(X377)
        | ~ ssItem(X376) ) ),
    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,
    ! [X379,X380,X381] :
      ( ( ~ memberP(cons(X380,X381),X379)
        | X379 = X380
        | memberP(X381,X379)
        | ~ ssList(X381)
        | ~ ssItem(X380)
        | ~ ssItem(X379) )
      & ( X379 != X380
        | memberP(cons(X380,X381),X379)
        | ~ ssList(X381)
        | ~ ssItem(X380)
        | ~ ssItem(X379) )
      & ( ~ memberP(X381,X379)
        | memberP(cons(X380,X381),X379)
        | ~ ssList(X381)
        | ~ ssItem(X380)
        | ~ ssItem(X379) ) ),
    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,
    ! [X447,X448,X449] :
      ( ~ ssList(X447)
      | ~ ssList(X448)
      | ~ ssList(X449)
      | app(app(X447,X448),X449) = app(X447,app(X448,X449)) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax82])])]) ).

fof(i_0_116,plain,
    ! [X357,X358,X359] :
      ( ~ ssList(X357)
      | ~ ssList(X358)
      | ~ ssItem(X359)
      | cons(X359,app(X358,X357)) = app(cons(X359,X358),X357) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax27])])]) ).

fof(i_0_117,plain,
    ! [X428,X429] :
      ( ( nil != X429
        | nil = X429
        | ~ strictorderedP(cons(X428,X429))
        | ~ ssList(X429)
        | ~ ssItem(X428) )
      & ( strictorderedP(X429)
        | nil = X429
        | ~ strictorderedP(cons(X428,X429))
        | ~ ssList(X429)
        | ~ ssItem(X428) )
      & ( lt(X428,hd(X429))
        | nil = X429
        | ~ strictorderedP(cons(X428,X429))
        | ~ ssList(X429)
        | ~ ssItem(X428) )
      & ( nil != X429
        | strictorderedP(cons(X428,X429))
        | ~ ssList(X429)
        | ~ ssItem(X428) )
      & ( nil = X429
        | ~ strictorderedP(X429)
        | ~ lt(X428,hd(X429))
        | strictorderedP(cons(X428,X429))
        | ~ ssList(X429)
        | ~ ssItem(X428) ) ),
    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,
    ! [X425,X426] :
      ( ( nil != X426
        | nil = X426
        | ~ totalorderedP(cons(X425,X426))
        | ~ ssList(X426)
        | ~ ssItem(X425) )
      & ( totalorderedP(X426)
        | nil = X426
        | ~ totalorderedP(cons(X425,X426))
        | ~ ssList(X426)
        | ~ ssItem(X425) )
      & ( leq(X425,hd(X426))
        | nil = X426
        | ~ totalorderedP(cons(X425,X426))
        | ~ ssList(X426)
        | ~ ssItem(X425) )
      & ( nil != X426
        | totalorderedP(cons(X425,X426))
        | ~ ssList(X426)
        | ~ ssItem(X425) )
      & ( nil = X426
        | ~ totalorderedP(X426)
        | ~ leq(X425,hd(X426))
        | totalorderedP(cons(X425,X426))
        | ~ ssList(X426)
        | ~ ssItem(X425) ) ),
    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,
    ! [X404,X405,X406] :
      ( ~ ssList(X404)
      | ~ ssList(X405)
      | ~ ssList(X406)
      | ~ rearsegP(X404,X405)
      | rearsegP(app(X406,X404),X405) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax50])])]) ).

fof(i_0_120,plain,
    ! [X389,X390,X391] :
      ( ~ ssList(X389)
      | ~ ssList(X390)
      | ~ ssList(X391)
      | ~ frontsegP(X389,X390)
      | frontsegP(app(X389,X391),X390) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax43])])]) ).

fof(i_0_121,plain,
    ! [X473,X474,X475] :
      ( ~ ssItem(X473)
      | ~ ssItem(X474)
      | ~ ssItem(X475)
      | ~ gt(X473,X474)
      | ~ gt(X474,X475)
      | gt(X473,X475) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax95])])]) ).

fof(i_0_122,plain,
    ! [X459,X460,X461] :
      ( ~ ssItem(X459)
      | ~ ssItem(X460)
      | ~ ssItem(X461)
      | ~ geq(X459,X460)
      | ~ geq(X460,X461)
      | geq(X459,X461) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax88])])]) ).

fof(i_0_123,plain,
    ! [X371,X372,X373] :
      ( ~ ssItem(X371)
      | ~ ssItem(X372)
      | ~ ssItem(X373)
      | ~ lt(X371,X372)
      | ~ lt(X372,X373)
      | lt(X371,X373) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax34])])]) ).

fof(i_0_124,plain,
    ! [X464,X465,X466] :
      ( ~ ssItem(X464)
      | ~ ssItem(X465)
      | ~ ssItem(X466)
      | ~ leq(X464,X465)
      | ~ lt(X465,X466)
      | lt(X464,X466) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax91])])]) ).

fof(i_0_125,plain,
    ! [X363,X364,X365] :
      ( ~ ssItem(X363)
      | ~ ssItem(X364)
      | ~ ssItem(X365)
      | ~ leq(X363,X364)
      | ~ leq(X364,X365)
      | leq(X363,X365) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax30])])]) ).

fof(i_0_126,plain,
    ! [X409,X410,X411] :
      ( ~ ssList(X409)
      | ~ ssList(X410)
      | ~ ssList(X411)
      | ~ segmentP(X409,X410)
      | ~ segmentP(X410,X411)
      | segmentP(X409,X411) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax53])])]) ).

fof(i_0_127,plain,
    ! [X398,X399,X400] :
      ( ~ ssList(X398)
      | ~ ssList(X399)
      | ~ ssList(X400)
      | ~ rearsegP(X398,X399)
      | ~ rearsegP(X399,X400)
      | rearsegP(X398,X400) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax47])])]) ).

fof(i_0_128,plain,
    ! [X383,X384,X385] :
      ( ~ ssList(X383)
      | ~ ssList(X384)
      | ~ ssList(X385)
      | ~ frontsegP(X383,X384)
      | ~ frontsegP(X384,X385)
      | frontsegP(X383,X385) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax40])])]) ).

fof(i_0_129,plain,
    ! [X249,X250,X252] :
      ( ( ssList(esk7_2(X249,X250))
        | ~ rearsegP(X249,X250)
        | ~ ssList(X250)
        | ~ ssList(X249) )
      & ( app(esk7_2(X249,X250),X250) = X249
        | ~ rearsegP(X249,X250)
        | ~ ssList(X250)
        | ~ ssList(X249) )
      & ( ~ ssList(X252)
        | app(X252,X250) != X249
        | rearsegP(X249,X250)
        | ~ ssList(X250)
        | ~ 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)],[ax6])])])])]) ).

fof(i_0_130,plain,
    ! [X245,X246,X248] :
      ( ( ssList(esk6_2(X245,X246))
        | ~ frontsegP(X245,X246)
        | ~ ssList(X246)
        | ~ ssList(X245) )
      & ( app(X246,esk6_2(X245,X246)) = X245
        | ~ frontsegP(X245,X246)
        | ~ ssList(X246)
        | ~ ssList(X245) )
      & ( ~ ssList(X248)
        | app(X246,X248) != X245
        | frontsegP(X245,X246)
        | ~ ssList(X246)
        | ~ ssList(X245) ) ),
    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,
    ! [X340,X341,X342,X343] :
      ( ( X342 = X343
        | cons(X342,X340) != cons(X343,X341)
        | ~ ssItem(X343)
        | ~ ssItem(X342)
        | ~ ssList(X341)
        | ~ ssList(X340) )
      & ( X341 = X340
        | cons(X342,X340) != cons(X343,X341)
        | ~ ssItem(X343)
        | ~ ssItem(X342)
        | ~ ssList(X341)
        | ~ ssList(X340) ) ),
    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,
    ! [X439,X440,X441] :
      ( ~ ssList(X439)
      | ~ ssList(X440)
      | ~ ssList(X441)
      | app(X441,X440) != app(X439,X440)
      | X441 = X439 ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax79])])]) ).

fof(i_0_133,plain,
    ! [X442,X443,X444] :
      ( ~ ssList(X442)
      | ~ ssList(X443)
      | ~ ssList(X444)
      | app(X443,X444) != app(X443,X442)
      | X444 = X442 ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax80])])]) ).

fof(i_0_134,plain,
    ! [X455,X456] :
      ( ~ ssList(X455)
      | ~ ssList(X456)
      | nil = X455
      | tl(app(X455,X456)) = app(tl(X455),X456) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax86])])]) ).

fof(i_0_135,plain,
    ! [X445,X446] :
      ( ~ ssList(X445)
      | ~ ssItem(X446)
      | cons(X446,X445) = app(cons(X446,nil),X445) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax81])])]) ).

fof(i_0_136,plain,
    ! [X412,X413] :
      ( ~ ssList(X412)
      | ~ ssList(X413)
      | ~ segmentP(X412,X413)
      | ~ segmentP(X413,X412)
      | X412 = X413 ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax54])])]) ).

fof(i_0_137,plain,
    ! [X401,X402] :
      ( ~ ssList(X401)
      | ~ ssList(X402)
      | ~ rearsegP(X401,X402)
      | ~ rearsegP(X402,X401)
      | X401 = X402 ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax48])])]) ).

fof(i_0_138,plain,
    ! [X386,X387] :
      ( ~ ssList(X386)
      | ~ ssList(X387)
      | ~ frontsegP(X386,X387)
      | ~ frontsegP(X387,X386)
      | X386 = X387 ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax41])])]) ).

fof(i_0_139,plain,
    ! [X457,X458] :
      ( ~ ssItem(X457)
      | ~ ssItem(X458)
      | ~ geq(X457,X458)
      | ~ geq(X458,X457)
      | X457 = X458 ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax87])])]) ).

fof(i_0_140,plain,
    ! [X361,X362] :
      ( ~ ssItem(X361)
      | ~ ssItem(X362)
      | ~ leq(X361,X362)
      | ~ leq(X362,X361)
      | X361 = X362 ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax29])])]) ).

fof(i_0_141,plain,
    ! [X471,X472] :
      ( ~ ssItem(X471)
      | ~ ssItem(X472)
      | ~ gt(X471,X472)
      | ~ gt(X472,X471) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_97])])]) ).

fof(i_0_142,plain,
    ! [X369,X370] :
      ( ~ ssItem(X369)
      | ~ ssItem(X370)
      | ~ lt(X369,X370)
      | ~ lt(X370,X369) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_98])])]) ).

fof(i_0_143,plain,
    ! [X469,X470] :
      ( ( X469 != X470
        | ~ lt(X469,X470)
        | ~ ssItem(X470)
        | ~ ssItem(X469) )
      & ( leq(X469,X470)
        | ~ lt(X469,X470)
        | ~ ssItem(X470)
        | ~ ssItem(X469) )
      & ( X469 = X470
        | ~ leq(X469,X470)
        | lt(X469,X470)
        | ~ ssItem(X470)
        | ~ ssItem(X469) ) ),
    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,
    ! [X467,X468] :
      ( ~ ssItem(X467)
      | ~ ssItem(X468)
      | ~ leq(X467,X468)
      | X467 = X468
      | lt(X467,X468) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax92])])]) ).

fof(i_0_145,plain,
    ! [X374,X375] :
      ( ( ~ gt(X374,X375)
        | lt(X375,X374)
        | ~ ssItem(X375)
        | ~ ssItem(X374) )
      & ( ~ lt(X375,X374)
        | gt(X374,X375)
        | ~ ssItem(X375)
        | ~ ssItem(X374) ) ),
    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,
    ! [X367,X368] :
      ( ( ~ geq(X367,X368)
        | leq(X368,X367)
        | ~ ssItem(X368)
        | ~ ssItem(X367) )
      & ( ~ leq(X368,X367)
        | geq(X367,X368)
        | ~ ssItem(X368)
        | ~ ssItem(X367) ) ),
    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,
    ! [X453,X454] :
      ( ~ ssList(X453)
      | ~ ssList(X454)
      | nil = X453
      | hd(app(X453,X454)) = hd(X453) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax85])])]) ).

fof(i_0_148,plain,
    ! [X436,X437] :
      ( ~ ssList(X436)
      | ~ ssList(X437)
      | nil = X437
      | nil = X436
      | hd(X437) != hd(X436)
      | tl(X437) != tl(X436)
      | X437 = X436 ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax77])])]) ).

fof(i_0_149,plain,
    ! [X353,X354] :
      ( ~ ssList(X353)
      | ~ ssItem(X354)
      | tl(cons(X354,X353)) = X353 ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax25])])]) ).

fof(i_0_150,plain,
    ! [X350,X351] :
      ( ~ ssList(X350)
      | ~ ssItem(X351)
      | hd(cons(X351,X350)) = X351 ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax23])])]) ).

fof(i_0_151,plain,
    ! [X355,X356] :
      ( ~ ssList(X355)
      | ~ ssList(X356)
      | ssList(app(X355,X356)) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax26])])]) ).

fof(i_0_152,plain,
    ! [X336,X337] :
      ( ~ ssList(X336)
      | ~ ssItem(X337)
      | ssList(cons(X337,X336)) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax16])])]) ).

fof(i_0_153,plain,
    ! [X334,X335] :
      ( ( ~ neq(X334,X335)
        | X334 != X335
        | ~ ssList(X335)
        | ~ ssList(X334) )
      & ( X334 = X335
        | neq(X334,X335)
        | ~ ssList(X335)
        | ~ ssList(X334) ) ),
    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,
    ! [X232,X233] :
      ( ( ~ neq(X232,X233)
        | X232 != X233
        | ~ ssItem(X233)
        | ~ ssItem(X232) )
      & ( X232 = X233
        | neq(X232,X233)
        | ~ ssItem(X233)
        | ~ ssItem(X232) ) ),
    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,
    ! [X242,X244] :
      ( ( ssItem(esk5_1(X242))
        | ~ singletonP(X242)
        | ~ ssList(X242) )
      & ( cons(esk5_1(X242),nil) = X242
        | ~ singletonP(X242)
        | ~ ssList(X242) )
      & ( ~ ssItem(X244)
        | cons(X244,nil) != X242
        | singletonP(X242)
        | ~ ssList(X242) ) ),
    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,
    ! [X450,X451] :
      ( ( nil = X451
        | nil != app(X450,X451)
        | ~ ssList(X451)
        | ~ ssList(X450) )
      & ( nil = X450
        | nil != app(X450,X451)
        | ~ ssList(X451)
        | ~ ssList(X450) )
      & ( nil != X451
        | nil != X450
        | nil = app(X450,X451)
        | ~ ssList(X451)
        | ~ ssList(X450) ) ),
    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,
    ! [X338,X339] :
      ( ~ ssList(X338)
      | ~ ssItem(X339)
      | cons(X339,X338) != X338 ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax18])])]) ).

fof(i_0_158,plain,
    ! [X347,X348] :
      ( ~ ssList(X347)
      | ~ ssItem(X348)
      | nil != cons(X348,X347) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax21])])]) ).

fof(i_0_159,plain,
    ! [X344] :
      ( ( ssList(esk44_1(X344))
        | nil = X344
        | ~ ssList(X344) )
      & ( ssItem(esk45_1(X344))
        | nil = X344
        | ~ ssList(X344) )
      & ( cons(esk45_1(X344),esk44_1(X344)) = X344
        | nil = X344
        | ~ ssList(X344) ) ),
    inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax20])])])]) ).

fof(i_0_160,plain,
    ! [X438] :
      ( ~ ssList(X438)
      | nil = X438
      | cons(hd(X438),tl(X438)) = X438 ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax78])]) ).

fof(i_0_161,plain,
    ! [X431] :
      ( ~ ssItem(X431)
      | equalelemsP(cons(X431,nil)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax73])]) ).

fof(i_0_162,plain,
    ! [X430] :
      ( ~ ssItem(X430)
      | duplicatefreeP(cons(X430,nil)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax71])]) ).

fof(i_0_163,plain,
    ! [X427] :
      ( ~ ssItem(X427)
      | strictorderedP(cons(X427,nil)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax68])]) ).

fof(i_0_164,plain,
    ! [X424] :
      ( ~ ssItem(X424)
      | totalorderedP(cons(X424,nil)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax65])]) ).

fof(i_0_165,plain,
    ! [X423] :
      ( ~ ssItem(X423)
      | strictorderP(cons(X423,nil)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax63])]) ).

fof(i_0_166,plain,
    ! [X422] :
      ( ~ ssItem(X422)
      | totalorderP(cons(X422,nil)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax61])]) ).

fof(i_0_167,plain,
    ! [X421] :
      ( ~ ssItem(X421)
      | cyclefreeP(cons(X421,nil)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax59])]) ).

fof(i_0_168,plain,
    ! [X463] :
      ( ~ ssItem(X463)
      | ~ lt(X463,X463) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_99])]) ).

fof(i_0_169,plain,
    ! [X420] :
      ( ( ~ segmentP(nil,X420)
        | nil = X420
        | ~ ssList(X420) )
      & ( nil != X420
        | segmentP(nil,X420)
        | ~ ssList(X420) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax58])])]) ).

fof(i_0_170,plain,
    ! [X408] :
      ( ( ~ rearsegP(nil,X408)
        | nil = X408
        | ~ ssList(X408) )
      & ( nil != X408
        | rearsegP(nil,X408)
        | ~ ssList(X408) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax52])])]) ).

fof(i_0_171,plain,
    ! [X397] :
      ( ( ~ frontsegP(nil,X397)
        | nil = X397
        | ~ ssList(X397) )
      & ( nil != X397
        | frontsegP(nil,X397)
        | ~ ssList(X397) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax46])])]) ).

fof(i_0_172,plain,
    ! [X382] :
      ( ~ ssItem(X382)
      | ~ memberP(nil,X382) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_100])]) ).

fof(i_0_173,plain,
    ! [X462] :
      ( ~ ssItem(X462)
      | geq(X462,X462) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax89])]) ).

fof(i_0_174,plain,
    ! [X366] :
      ( ~ ssItem(X366)
      | leq(X366,X366) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax31])]) ).

fof(i_0_175,plain,
    ! [X414] :
      ( ~ ssList(X414)
      | segmentP(X414,X414) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax55])]) ).

fof(i_0_176,plain,
    ! [X403] :
      ( ~ ssList(X403)
      | rearsegP(X403,X403) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax49])]) ).

fof(i_0_177,plain,
    ! [X388] :
      ( ~ ssList(X388)
      | frontsegP(X388,X388) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax42])]) ).

fof(i_0_178,plain,
    ! [X360] :
      ( ~ ssList(X360)
      | app(nil,X360) = X360 ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax28])]) ).

fof(i_0_179,plain,
    ! [X452] :
      ( ~ ssList(X452)
      | app(X452,nil) = X452 ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax84])]) ).

fof(i_0_180,plain,
    ! [X419] :
      ( ~ ssList(X419)
      | segmentP(X419,nil) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax57])]) ).

fof(i_0_181,plain,
    ! [X407] :
      ( ~ ssList(X407)
      | rearsegP(X407,nil) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax51])]) ).

fof(i_0_182,plain,
    ! [X396] :
      ( ~ ssList(X396)
      | frontsegP(X396,nil) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax45])]) ).

fof(i_0_183,plain,
    ! [X434] :
      ( ( ssList(esk47_1(X434))
        | nil = X434
        | ~ ssList(X434) )
      & ( tl(X434) = esk47_1(X434)
        | nil = X434
        | ~ ssList(X434) ) ),
    inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax76])])])]) ).

fof(i_0_184,plain,
    ! [X352] :
      ( ~ ssList(X352)
      | nil = X352
      | ssList(tl(X352)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax24])]) ).

fof(i_0_185,plain,
    ! [X432] :
      ( ( ssItem(esk46_1(X432))
        | nil = X432
        | ~ ssList(X432) )
      & ( hd(X432) = esk46_1(X432)
        | nil = X432
        | ~ ssList(X432) ) ),
    inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax75])])])]) ).

fof(i_0_186,plain,
    ! [X349] :
      ( ~ ssList(X349)
      | nil = X349
      | ssItem(hd(X349)) ),
    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,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_101]),
    [final] ).

cnf(i_0_190,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_102]),
    [final] ).

cnf(i_0_191,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_103]),
    [final] ).

cnf(i_0_192,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_104]),
    [final] ).

cnf(i_0_193,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_105]),
    [final] ).

cnf(i_0_194,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_106]),
    [final] ).

cnf(i_0_195,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_106]),
    [final] ).

cnf(i_0_196,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_104]),
    [final] ).

cnf(i_0_197,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_105]),
    [final] ).

cnf(i_0_198,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_102]),
    [final] ).

cnf(i_0_199,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_103]),
    [final] ).

cnf(i_0_200,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_101]),
    [final] ).

cnf(i_0_201,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_107]),
    [final] ).

cnf(i_0_202,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_107]),
    [final] ).

cnf(i_0_203,negated_conjecture,
    ( ~ ssItem(X1)
    | ~ ssList(X2)
    | app(X2,cons(X1,nil)) != esk52_0
    | ~ ssItem(X3)
    | ~ ssList(X4)
    | app(cons(X3,nil),X4) != esk50_0
    | ~ lt(X1,X3) ),
    inference(split_conjunct,[status(thm)],[i_0_108]),
    [final] ).

cnf(i_0_204,negated_conjecture,
    ( ~ ssItem(X1)
    | ~ ssList(X2)
    | app(cons(X1,nil),X2) != esk53_0
    | ~ ssItem(X3)
    | ~ ssList(X4)
    | app(X4,cons(X3,nil)) != esk50_0
    | ~ lt(X3,X1) ),
    inference(split_conjunct,[status(thm)],[i_0_108]),
    [final] ).

cnf(i_0_205,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_206,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_207,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_208,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_209,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_210,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_211,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_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_104]),
    [final] ).

cnf(i_0_263,plain,
    ( totalorderedP(X1)
    | ~ leq(esk25_1(X1),esk26_1(X1))
    | ~ ssList(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_105]),
    [final] ).

cnf(i_0_264,plain,
    ( strictorderP(X1)
    | ~ lt(esk21_1(X1),esk20_1(X1))
    | ~ ssList(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_102]),
    [final] ).

cnf(i_0_265,plain,
    ( strictorderP(X1)
    | ~ lt(esk20_1(X1),esk21_1(X1))
    | ~ ssList(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_102]),
    [final] ).

cnf(i_0_266,plain,
    ( totalorderP(X1)
    | ~ leq(esk16_1(X1),esk15_1(X1))
    | ~ ssList(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_103]),
    [final] ).

cnf(i_0_267,plain,
    ( totalorderP(X1)
    | ~ leq(esk15_1(X1),esk16_1(X1))
    | ~ ssList(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_103]),
    [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_101]),
    [final] ).

cnf(i_0_288,plain,
    ( leq(esk10_1(X1),esk11_1(X1))
    | cyclefreeP(X1)
    | ~ ssList(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_101]),
    [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,negated_conjecture,
    app(app(esk52_0,esk50_0),esk53_0) = esk51_0,
    inference(split_conjunct,[status(thm)],[i_0_108]),
    [final] ).

cnf(i_0_303,plain,
    ( X1 = X2
    | neq(X1,X2)
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_153]),
    [final] ).

cnf(i_0_304,plain,
    ( X1 = X2
    | neq(X1,X2)
    | ~ ssItem(X2)
    | ~ ssItem(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_154]),
    [final] ).

cnf(i_0_305,plain,
    ( ~ ssItem(X1)
    | ~ lt(X1,X1) ),
    inference(split_conjunct,[status(thm)],[i_0_168]),
    [final] ).

cnf(i_0_306,plain,
    ( nil = X1
    | ~ segmentP(nil,X1)
    | ~ ssList(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_169]),
    [final] ).

cnf(i_0_307,plain,
    ( nil = X1
    | ~ rearsegP(nil,X1)
    | ~ ssList(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_170]),
    [final] ).

cnf(i_0_308,plain,
    ( nil = X1
    | ~ frontsegP(nil,X1)
    | ~ ssList(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_171]),
    [final] ).

cnf(i_0_309,plain,
    ( ~ ssItem(X1)
    | ~ memberP(nil,X1) ),
    inference(split_conjunct,[status(thm)],[i_0_172]),
    [final] ).

cnf(i_0_310,plain,
    ( ssItem(esk5_1(X1))
    | ~ singletonP(X1)
    | ~ ssList(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_155]),
    [final] ).

cnf(i_0_311,plain,
    ( equalelemsP(X1)
    | esk40_1(X1) != esk41_1(X1)
    | ~ ssList(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_107]),
    [final] ).

cnf(i_0_312,plain,
    ( segmentP(nil,X1)
    | nil != X1
    | ~ ssList(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_169]),
    [final] ).

cnf(i_0_313,plain,
    ( rearsegP(nil,X1)
    | nil != X1
    | ~ ssList(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_170]),
    [final] ).

cnf(i_0_314,plain,
    ( frontsegP(nil,X1)
    | nil != X1
    | ~ ssList(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_171]),
    [final] ).

cnf(i_0_315,plain,
    ( ssList(esk43_1(X1))
    | equalelemsP(X1)
    | ~ ssList(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_107]),
    [final] ).

cnf(i_0_316,plain,
    ( ssList(esk42_1(X1))
    | equalelemsP(X1)
    | ~ ssList(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_107]),
    [final] ).

cnf(i_0_317,plain,
    ( ssItem(esk41_1(X1))
    | equalelemsP(X1)
    | ~ ssList(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_107]),
    [final] ).

cnf(i_0_318,plain,
    ( ssItem(esk40_1(X1))
    | equalelemsP(X1)
    | ~ ssList(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_107]),
    [final] ).

cnf(i_0_319,plain,
    ( ssList(esk39_1(X1))
    | duplicatefreeP(X1)
    | ~ ssList(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_106]),
    [final] ).

cnf(i_0_320,plain,
    ( ssList(esk38_1(X1))
    | duplicatefreeP(X1)
    | ~ ssList(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_106]),
    [final] ).

cnf(i_0_321,plain,
    ( ssList(esk37_1(X1))
    | duplicatefreeP(X1)
    | ~ ssList(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_106]),
    [final] ).

cnf(i_0_322,plain,
    ( ssItem(esk36_1(X1))
    | duplicatefreeP(X1)
    | ~ ssList(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_106]),
    [final] ).

cnf(i_0_323,plain,
    ( ssItem(esk35_1(X1))
    | duplicatefreeP(X1)
    | ~ ssList(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_106]),
    [final] ).

cnf(i_0_324,plain,
    ( ssList(esk34_1(X1))
    | strictorderedP(X1)
    | ~ ssList(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_104]),
    [final] ).

cnf(i_0_325,plain,
    ( ssList(esk33_1(X1))
    | strictorderedP(X1)
    | ~ ssList(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_104]),
    [final] ).

cnf(i_0_326,plain,
    ( ssList(esk32_1(X1))
    | strictorderedP(X1)
    | ~ ssList(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_104]),
    [final] ).

cnf(i_0_327,plain,
    ( ssItem(esk31_1(X1))
    | strictorderedP(X1)
    | ~ ssList(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_104]),
    [final] ).

cnf(i_0_328,plain,
    ( ssItem(esk30_1(X1))
    | strictorderedP(X1)
    | ~ ssList(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_104]),
    [final] ).

cnf(i_0_329,plain,
    ( ssList(esk29_1(X1))
    | totalorderedP(X1)
    | ~ ssList(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_105]),
    [final] ).

cnf(i_0_330,plain,
    ( ssList(esk28_1(X1))
    | totalorderedP(X1)
    | ~ ssList(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_105]),
    [final] ).

cnf(i_0_331,plain,
    ( ssList(esk27_1(X1))
    | totalorderedP(X1)
    | ~ ssList(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_105]),
    [final] ).

cnf(i_0_332,plain,
    ( ssItem(esk26_1(X1))
    | totalorderedP(X1)
    | ~ ssList(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_105]),
    [final] ).

cnf(i_0_333,plain,
    ( ssItem(esk25_1(X1))
    | totalorderedP(X1)
    | ~ ssList(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_105]),
    [final] ).

cnf(i_0_334,plain,
    ( ssList(esk24_1(X1))
    | strictorderP(X1)
    | ~ ssList(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_102]),
    [final] ).

cnf(i_0_335,plain,
    ( ssList(esk23_1(X1))
    | strictorderP(X1)
    | ~ ssList(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_102]),
    [final] ).

cnf(i_0_336,plain,
    ( ssList(esk22_1(X1))
    | strictorderP(X1)
    | ~ ssList(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_102]),
    [final] ).

cnf(i_0_337,plain,
    ( ssItem(esk21_1(X1))
    | strictorderP(X1)
    | ~ ssList(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_102]),
    [final] ).

cnf(i_0_338,plain,
    ( ssItem(esk20_1(X1))
    | strictorderP(X1)
    | ~ ssList(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_102]),
    [final] ).

cnf(i_0_339,plain,
    ( ssList(esk19_1(X1))
    | totalorderP(X1)
    | ~ ssList(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_103]),
    [final] ).

cnf(i_0_340,plain,
    ( ssList(esk18_1(X1))
    | totalorderP(X1)
    | ~ ssList(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_103]),
    [final] ).

cnf(i_0_341,plain,
    ( ssList(esk17_1(X1))
    | totalorderP(X1)
    | ~ ssList(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_103]),
    [final] ).

cnf(i_0_342,plain,
    ( ssItem(esk16_1(X1))
    | totalorderP(X1)
    | ~ ssList(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_103]),
    [final] ).

cnf(i_0_343,plain,
    ( ssItem(esk15_1(X1))
    | totalorderP(X1)
    | ~ ssList(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_103]),
    [final] ).

cnf(i_0_344,plain,
    ( ssList(esk14_1(X1))
    | cyclefreeP(X1)
    | ~ ssList(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_101]),
    [final] ).

cnf(i_0_345,plain,
    ( ssList(esk13_1(X1))
    | cyclefreeP(X1)
    | ~ ssList(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_101]),
    [final] ).

cnf(i_0_346,plain,
    ( ssList(esk12_1(X1))
    | cyclefreeP(X1)
    | ~ ssList(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_101]),
    [final] ).

cnf(i_0_347,plain,
    ( ssItem(esk11_1(X1))
    | cyclefreeP(X1)
    | ~ ssList(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_101]),
    [final] ).

cnf(i_0_348,plain,
    ( ssItem(esk10_1(X1))
    | cyclefreeP(X1)
    | ~ ssList(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_101]),
    [final] ).

cnf(i_0_349,plain,
    ( geq(X1,X1)
    | ~ ssItem(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_173]),
    [final] ).

cnf(i_0_350,plain,
    ( leq(X1,X1)
    | ~ ssItem(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_174]),
    [final] ).

cnf(i_0_351,plain,
    ( segmentP(X1,X1)
    | ~ ssList(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_175]),
    [final] ).

cnf(i_0_352,plain,
    ( rearsegP(X1,X1)
    | ~ ssList(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_176]),
    [final] ).

cnf(i_0_353,plain,
    ( frontsegP(X1,X1)
    | ~ ssList(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_177]),
    [final] ).

cnf(i_0_354,plain,
    ( app(nil,X1) = X1
    | ~ ssList(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_178]),
    [final] ).

cnf(i_0_355,plain,
    ( app(X1,nil) = X1
    | ~ ssList(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_179]),
    [final] ).

cnf(i_0_356,plain,
    ( esk35_1(X1) = esk36_1(X1)
    | duplicatefreeP(X1)
    | ~ ssList(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_106]),
    [final] ).

cnf(i_0_357,plain,
    ( segmentP(X1,nil)
    | ~ ssList(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_180]),
    [final] ).

cnf(i_0_358,plain,
    ( rearsegP(X1,nil)
    | ~ ssList(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_181]),
    [final] ).

cnf(i_0_359,plain,
    ( frontsegP(X1,nil)
    | ~ ssList(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_182]),
    [final] ).

cnf(i_0_360,plain,
    ( ssList(esk47_1(X1))
    | nil = X1
    | ~ ssList(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_183]),
    [final] ).

cnf(i_0_361,plain,
    ( ssList(esk44_1(X1))
    | nil = X1
    | ~ ssList(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_159]),
    [final] ).

cnf(i_0_362,plain,
    ( nil = X1
    | ssList(tl(X1))
    | ~ ssList(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_184]),
    [final] ).

cnf(i_0_363,plain,
    ( ssItem(esk46_1(X1))
    | nil = X1
    | ~ ssList(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_185]),
    [final] ).

cnf(i_0_364,plain,
    ( ssItem(esk45_1(X1))
    | nil = X1
    | ~ ssList(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_159]),
    [final] ).

cnf(i_0_365,plain,
    ( nil = X1
    | ssItem(hd(X1))
    | ~ ssList(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_186]),
    [final] ).

cnf(i_0_366,plain,
    ( tl(X1) = esk47_1(X1)
    | nil = X1
    | ~ ssList(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_183]),
    [final] ).

cnf(i_0_367,plain,
    ( hd(X1) = esk46_1(X1)
    | nil = X1
    | ~ ssList(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_185]),
    [final] ).

cnf(i_0_368,negated_conjecture,
    ~ totalorderedP(esk48_0),
    inference(split_conjunct,[status(thm)],[i_0_108]),
    [final] ).

cnf(i_0_369,plain,
    ~ singletonP(nil),
    inference(split_conjunct,[status(thm)],[i_0_187]),
    [final] ).

cnf(i_0_370,plain,
    equalelemsP(nil),
    inference(split_conjunct,[status(thm)],[ax74]),
    [final] ).

cnf(i_0_371,plain,
    duplicatefreeP(nil),
    inference(split_conjunct,[status(thm)],[ax72]),
    [final] ).

cnf(i_0_372,negated_conjecture,
    strictorderedP(esk50_0),
    inference(split_conjunct,[status(thm)],[i_0_108]),
    [final] ).

cnf(i_0_373,plain,
    strictorderedP(nil),
    inference(split_conjunct,[status(thm)],[ax69]),
    [final] ).

cnf(i_0_374,plain,
    totalorderedP(nil),
    inference(split_conjunct,[status(thm)],[ax66]),
    [final] ).

cnf(i_0_375,plain,
    strictorderP(nil),
    inference(split_conjunct,[status(thm)],[ax64]),
    [final] ).

cnf(i_0_376,plain,
    totalorderP(nil),
    inference(split_conjunct,[status(thm)],[ax62]),
    [final] ).

cnf(i_0_377,plain,
    cyclefreeP(nil),
    inference(split_conjunct,[status(thm)],[ax60]),
    [final] ).

cnf(i_0_378,negated_conjecture,
    ssList(esk53_0),
    inference(split_conjunct,[status(thm)],[i_0_108]),
    [final] ).

cnf(i_0_379,negated_conjecture,
    ssList(esk52_0),
    inference(split_conjunct,[status(thm)],[i_0_108]),
    [final] ).

cnf(i_0_380,negated_conjecture,
    ssList(esk51_0),
    inference(split_conjunct,[status(thm)],[i_0_108]),
    [final] ).

cnf(i_0_381,negated_conjecture,
    ssList(esk50_0),
    inference(split_conjunct,[status(thm)],[i_0_108]),
    [final] ).

cnf(i_0_382,negated_conjecture,
    ssList(esk49_0),
    inference(split_conjunct,[status(thm)],[i_0_108]),
    [final] ).

cnf(i_0_383,negated_conjecture,
    ssList(esk48_0),
    inference(split_conjunct,[status(thm)],[i_0_108]),
    [final] ).

cnf(i_0_384,plain,
    ssList(nil),
    inference(split_conjunct,[status(thm)],[ax17]),
    [final] ).

cnf(i_0_385,plain,
    ssItem(esk2_0),
    inference(split_conjunct,[status(thm)],[i_0_188]),
    [final] ).

cnf(i_0_386,plain,
    ssItem(esk1_0),
    inference(split_conjunct,[status(thm)],[i_0_188]),
    [final] ).

cnf(i_0_387,negated_conjecture,
    ( nil = esk51_0
    | nil != esk50_0 ),
    inference(split_conjunct,[status(thm)],[i_0_108]),
    [final] ).

cnf(i_0_388,plain,
    esk1_0 != esk2_0,
    inference(split_conjunct,[status(thm)],[i_0_188]),
    [final] ).

cnf(i_0_389,negated_conjecture,
    esk49_0 = esk51_0,
    inference(split_conjunct,[status(thm)],[i_0_108]),
    [final] ).

cnf(i_0_390,negated_conjecture,
    esk48_0 = esk50_0,
    inference(split_conjunct,[status(thm)],[i_0_108]),
    [final] ).

cnf(i_0_391,axiom,
    X1 = X1 ).

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

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

cnf(i_0_394,axiom,
    ( X1 != X2
    | app(X1,X3) = app(X2,X3) ) ).

cnf(i_0_395,axiom,
    ( X1 != X2
    | app(X3,X1) = app(X3,X2) ) ).

cnf(i_0_396,axiom,
    ( X1 != X2
    | cons(X1,X3) = cons(X2,X3) ) ).

cnf(i_0_397,axiom,
    ( X1 != X2
    | cons(X3,X1) = cons(X3,X2) ) ).

cnf(i_0_398,axiom,
    ( X1 != X2
    | esk40_1(X1) = esk40_1(X2) ) ).

cnf(i_0_399,axiom,
    ( X1 != X2
    | esk41_1(X1) = esk41_1(X2) ) ).

cnf(i_0_400,axiom,
    ( X1 != X2
    | esk35_1(X1) = esk35_1(X2) ) ).

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

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

cnf(i_0_403,axiom,
    ( X1 != X2
    | esk47_1(X1) = esk47_1(X2) ) ).

cnf(i_0_404,axiom,
    ( X1 != X2
    | esk46_1(X1) = esk46_1(X2) ) ).

cnf(i_0_405,axiom,
    ( X1 != X2
    | esk36_1(X1) = esk36_1(X2) ) ).

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

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

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

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

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

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

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

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

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

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

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

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

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

cnf(i_0_419,axiom,
    ( X1 != X2
    | ~ geq(X1,X3)
    | geq(X2,X3) ) ).

cnf(i_0_420,axiom,
    ( X1 != X2
    | ~ geq(X3,X1)
    | geq(X3,X2) ) ).

cnf(i_0_421,axiom,
    ( X1 != X2
    | ~ neq(X1,X3)
    | neq(X2,X3) ) ).

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

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

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

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

cnf(i_0_426,axiom,
    ( X1 != X2
    | ~ leq(X1,X3)
    | leq(X2,X3) ) ).

cnf(i_0_427,axiom,
    ( X1 != X2
    | ~ leq(X3,X1)
    | leq(X3,X2) ) ).

cnf(i_0_428,axiom,
    ( X1 != X2
    | ~ lt(X1,X3)
    | lt(X2,X3) ) ).

cnf(i_0_429,axiom,
    ( X1 != X2
    | ~ lt(X3,X1)
    | lt(X3,X2) ) ).

cnf(i_0_430,axiom,
    ( X1 != X2
    | ~ strictorderP(X1)
    | strictorderP(X2) ) ).

cnf(i_0_431,axiom,
    ( X1 != X2
    | ~ totalorderP(X1)
    | totalorderP(X2) ) ).

cnf(i_0_432,axiom,
    ( X1 != X2
    | ~ strictorderedP(X1)
    | strictorderedP(X2) ) ).

cnf(i_0_433,axiom,
    ( X1 != X2
    | ~ totalorderedP(X1)
    | totalorderedP(X2) ) ).

cnf(i_0_1671,plain,
    hd(cons(esk1_0,nil)) = esk46_1(cons(esk1_0,nil)),
    inference(scs_inference,[],[i_0_302,i_0_464,i_0_466,i_0_468,i_0_647,i_0_649,i_0_651,i_0_369,i_0_482,i_0_629,i_0_631,i_0_633,i_0_653,i_0_476,i_0_598,i_0_475,i_0_368,i_0_515,i_0_384,i_0_462,i_0_383,i_0_373,i_0_371,i_0_377,i_0_386,i_0_390,i_0_385,i_0_378,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_402,i_0_403,i_0_404,i_0_405,i_0_305,i_0_309,i_0_357,i_0_358,i_0_359,i_0_293,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299,i_0_354,i_0_355,i_0_392,i_0_409,i_0_410,i_0_411,i_0_413,i_0_414,i_0_415,i_0_416,i_0_423,i_0_329,i_0_330,i_0_331,i_0_332,i_0_333,i_0_280,i_0_289,i_0_306,i_0_307,i_0_308,i_0_360,i_0_361,i_0_362,i_0_363,i_0_364,i_0_365,i_0_263,i_0_290,i_0_277,i_0_278,i_0_291,i_0_292,i_0_250,i_0_705,i_0_197,i_0_454,i_0_428,i_0_429,i_0_433,i_0_452,i_0_279,i_0_393,i_0_421,i_0_422,i_0_270,i_0_242,i_0_243,i_0_244,i_0_245,i_0_284,i_0_285,i_0_286,i_0_235,i_0_273,i_0_215,i_0_216,i_0_248,i_0_205,i_0_234,i_0_447,i_0_219,i_0_220,i_0_221,i_0_222,i_0_223,i_0_239,i_0_249,i_0_224,i_0_211,i_0_208,i_0_213,i_0_440,i_0_210,i_0_192,i_0_194,i_0_189,i_0_563,i_0_665,i_0_666,i_0_676,i_0_677,i_0_688,i_0_697,i_0_412,i_0_455,i_0_366,i_0_367]) ).

cnf(i_0_1673,plain,
    ssList(app(cons(esk1_0,nil),nil)),
    inference(scs_inference,[],[i_0_302,i_0_464,i_0_466,i_0_468,i_0_647,i_0_649,i_0_651,i_0_369,i_0_482,i_0_629,i_0_631,i_0_633,i_0_653,i_0_476,i_0_598,i_0_475,i_0_368,i_0_515,i_0_384,i_0_462,i_0_383,i_0_373,i_0_371,i_0_377,i_0_386,i_0_390,i_0_385,i_0_378,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_402,i_0_403,i_0_404,i_0_405,i_0_305,i_0_309,i_0_357,i_0_358,i_0_359,i_0_293,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299,i_0_354,i_0_355,i_0_392,i_0_409,i_0_410,i_0_411,i_0_413,i_0_414,i_0_415,i_0_416,i_0_423,i_0_329,i_0_330,i_0_331,i_0_332,i_0_333,i_0_280,i_0_289,i_0_306,i_0_307,i_0_308,i_0_360,i_0_361,i_0_362,i_0_363,i_0_364,i_0_365,i_0_263,i_0_290,i_0_277,i_0_278,i_0_291,i_0_292,i_0_250,i_0_705,i_0_197,i_0_454,i_0_428,i_0_429,i_0_433,i_0_452,i_0_279,i_0_393,i_0_421,i_0_422,i_0_270,i_0_242,i_0_243,i_0_244,i_0_245,i_0_284,i_0_285,i_0_286,i_0_235,i_0_273,i_0_215,i_0_216,i_0_248,i_0_205,i_0_234,i_0_447,i_0_219,i_0_220,i_0_221,i_0_222,i_0_223,i_0_239,i_0_249,i_0_224,i_0_211,i_0_208,i_0_213,i_0_440,i_0_210,i_0_192,i_0_194,i_0_189,i_0_563,i_0_665,i_0_666,i_0_676,i_0_677,i_0_688,i_0_697,i_0_412,i_0_455,i_0_366,i_0_367,i_0_425]) ).

cnf(i_0_1674,plain,
    strictorderedP(app(cons(esk1_0,nil),nil)),
    inference(scs_inference,[],[i_0_302,i_0_464,i_0_466,i_0_468,i_0_647,i_0_649,i_0_651,i_0_369,i_0_482,i_0_629,i_0_631,i_0_633,i_0_653,i_0_476,i_0_598,i_0_475,i_0_368,i_0_515,i_0_384,i_0_462,i_0_383,i_0_373,i_0_371,i_0_377,i_0_386,i_0_390,i_0_385,i_0_378,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_402,i_0_403,i_0_404,i_0_405,i_0_305,i_0_309,i_0_357,i_0_358,i_0_359,i_0_293,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299,i_0_354,i_0_355,i_0_392,i_0_409,i_0_410,i_0_411,i_0_413,i_0_414,i_0_415,i_0_416,i_0_423,i_0_329,i_0_330,i_0_331,i_0_332,i_0_333,i_0_280,i_0_289,i_0_306,i_0_307,i_0_308,i_0_360,i_0_361,i_0_362,i_0_363,i_0_364,i_0_365,i_0_263,i_0_290,i_0_277,i_0_278,i_0_291,i_0_292,i_0_250,i_0_705,i_0_197,i_0_454,i_0_428,i_0_429,i_0_433,i_0_452,i_0_279,i_0_393,i_0_421,i_0_422,i_0_270,i_0_242,i_0_243,i_0_244,i_0_245,i_0_284,i_0_285,i_0_286,i_0_235,i_0_273,i_0_215,i_0_216,i_0_248,i_0_205,i_0_234,i_0_447,i_0_219,i_0_220,i_0_221,i_0_222,i_0_223,i_0_239,i_0_249,i_0_224,i_0_211,i_0_208,i_0_213,i_0_440,i_0_210,i_0_192,i_0_194,i_0_189,i_0_563,i_0_665,i_0_666,i_0_676,i_0_677,i_0_688,i_0_697,i_0_412,i_0_455,i_0_366,i_0_367,i_0_425,i_0_432]) ).

cnf(i_0_1675,plain,
    cyclefreeP(app(cons(esk1_0,nil),nil)),
    inference(scs_inference,[],[i_0_302,i_0_464,i_0_466,i_0_468,i_0_647,i_0_649,i_0_651,i_0_369,i_0_482,i_0_629,i_0_631,i_0_633,i_0_653,i_0_476,i_0_598,i_0_475,i_0_368,i_0_515,i_0_384,i_0_462,i_0_383,i_0_373,i_0_371,i_0_377,i_0_386,i_0_390,i_0_385,i_0_378,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_402,i_0_403,i_0_404,i_0_405,i_0_305,i_0_309,i_0_357,i_0_358,i_0_359,i_0_293,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299,i_0_354,i_0_355,i_0_392,i_0_409,i_0_410,i_0_411,i_0_413,i_0_414,i_0_415,i_0_416,i_0_423,i_0_329,i_0_330,i_0_331,i_0_332,i_0_333,i_0_280,i_0_289,i_0_306,i_0_307,i_0_308,i_0_360,i_0_361,i_0_362,i_0_363,i_0_364,i_0_365,i_0_263,i_0_290,i_0_277,i_0_278,i_0_291,i_0_292,i_0_250,i_0_705,i_0_197,i_0_454,i_0_428,i_0_429,i_0_433,i_0_452,i_0_279,i_0_393,i_0_421,i_0_422,i_0_270,i_0_242,i_0_243,i_0_244,i_0_245,i_0_284,i_0_285,i_0_286,i_0_235,i_0_273,i_0_215,i_0_216,i_0_248,i_0_205,i_0_234,i_0_447,i_0_219,i_0_220,i_0_221,i_0_222,i_0_223,i_0_239,i_0_249,i_0_224,i_0_211,i_0_208,i_0_213,i_0_440,i_0_210,i_0_192,i_0_194,i_0_189,i_0_563,i_0_665,i_0_666,i_0_676,i_0_677,i_0_688,i_0_697,i_0_412,i_0_455,i_0_366,i_0_367,i_0_425,i_0_432,i_0_406]) ).

cnf(i_0_1676,plain,
    duplicatefreeP(app(cons(esk1_0,nil),nil)),
    inference(scs_inference,[],[i_0_302,i_0_464,i_0_466,i_0_468,i_0_647,i_0_649,i_0_651,i_0_369,i_0_482,i_0_629,i_0_631,i_0_633,i_0_653,i_0_476,i_0_598,i_0_475,i_0_368,i_0_515,i_0_384,i_0_462,i_0_383,i_0_373,i_0_371,i_0_377,i_0_386,i_0_390,i_0_385,i_0_378,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_402,i_0_403,i_0_404,i_0_405,i_0_305,i_0_309,i_0_357,i_0_358,i_0_359,i_0_293,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299,i_0_354,i_0_355,i_0_392,i_0_409,i_0_410,i_0_411,i_0_413,i_0_414,i_0_415,i_0_416,i_0_423,i_0_329,i_0_330,i_0_331,i_0_332,i_0_333,i_0_280,i_0_289,i_0_306,i_0_307,i_0_308,i_0_360,i_0_361,i_0_362,i_0_363,i_0_364,i_0_365,i_0_263,i_0_290,i_0_277,i_0_278,i_0_291,i_0_292,i_0_250,i_0_705,i_0_197,i_0_454,i_0_428,i_0_429,i_0_433,i_0_452,i_0_279,i_0_393,i_0_421,i_0_422,i_0_270,i_0_242,i_0_243,i_0_244,i_0_245,i_0_284,i_0_285,i_0_286,i_0_235,i_0_273,i_0_215,i_0_216,i_0_248,i_0_205,i_0_234,i_0_447,i_0_219,i_0_220,i_0_221,i_0_222,i_0_223,i_0_239,i_0_249,i_0_224,i_0_211,i_0_208,i_0_213,i_0_440,i_0_210,i_0_192,i_0_194,i_0_189,i_0_563,i_0_665,i_0_666,i_0_676,i_0_677,i_0_688,i_0_697,i_0_412,i_0_455,i_0_366,i_0_367,i_0_425,i_0_432,i_0_406,i_0_407]) ).

cnf(i_0_1677,plain,
    equalelemsP(app(cons(esk1_0,nil),nil)),
    inference(scs_inference,[],[i_0_302,i_0_464,i_0_466,i_0_468,i_0_647,i_0_649,i_0_651,i_0_369,i_0_482,i_0_629,i_0_631,i_0_633,i_0_653,i_0_476,i_0_598,i_0_475,i_0_368,i_0_515,i_0_384,i_0_462,i_0_383,i_0_373,i_0_371,i_0_377,i_0_386,i_0_390,i_0_385,i_0_378,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_402,i_0_403,i_0_404,i_0_405,i_0_305,i_0_309,i_0_357,i_0_358,i_0_359,i_0_293,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299,i_0_354,i_0_355,i_0_392,i_0_409,i_0_410,i_0_411,i_0_413,i_0_414,i_0_415,i_0_416,i_0_423,i_0_329,i_0_330,i_0_331,i_0_332,i_0_333,i_0_280,i_0_289,i_0_306,i_0_307,i_0_308,i_0_360,i_0_361,i_0_362,i_0_363,i_0_364,i_0_365,i_0_263,i_0_290,i_0_277,i_0_278,i_0_291,i_0_292,i_0_250,i_0_705,i_0_197,i_0_454,i_0_428,i_0_429,i_0_433,i_0_452,i_0_279,i_0_393,i_0_421,i_0_422,i_0_270,i_0_242,i_0_243,i_0_244,i_0_245,i_0_284,i_0_285,i_0_286,i_0_235,i_0_273,i_0_215,i_0_216,i_0_248,i_0_205,i_0_234,i_0_447,i_0_219,i_0_220,i_0_221,i_0_222,i_0_223,i_0_239,i_0_249,i_0_224,i_0_211,i_0_208,i_0_213,i_0_440,i_0_210,i_0_192,i_0_194,i_0_189,i_0_563,i_0_665,i_0_666,i_0_676,i_0_677,i_0_688,i_0_697,i_0_412,i_0_455,i_0_366,i_0_367,i_0_425,i_0_432,i_0_406,i_0_407,i_0_408]) ).

cnf(i_0_1678,plain,
    strictorderP(app(cons(esk1_0,nil),nil)),
    inference(scs_inference,[],[i_0_302,i_0_464,i_0_466,i_0_468,i_0_647,i_0_649,i_0_651,i_0_369,i_0_482,i_0_629,i_0_631,i_0_633,i_0_653,i_0_476,i_0_598,i_0_475,i_0_368,i_0_515,i_0_384,i_0_462,i_0_383,i_0_373,i_0_371,i_0_377,i_0_386,i_0_390,i_0_385,i_0_378,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_402,i_0_403,i_0_404,i_0_405,i_0_305,i_0_309,i_0_357,i_0_358,i_0_359,i_0_293,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299,i_0_354,i_0_355,i_0_392,i_0_409,i_0_410,i_0_411,i_0_413,i_0_414,i_0_415,i_0_416,i_0_423,i_0_329,i_0_330,i_0_331,i_0_332,i_0_333,i_0_280,i_0_289,i_0_306,i_0_307,i_0_308,i_0_360,i_0_361,i_0_362,i_0_363,i_0_364,i_0_365,i_0_263,i_0_290,i_0_277,i_0_278,i_0_291,i_0_292,i_0_250,i_0_705,i_0_197,i_0_454,i_0_428,i_0_429,i_0_433,i_0_452,i_0_279,i_0_393,i_0_421,i_0_422,i_0_270,i_0_242,i_0_243,i_0_244,i_0_245,i_0_284,i_0_285,i_0_286,i_0_235,i_0_273,i_0_215,i_0_216,i_0_248,i_0_205,i_0_234,i_0_447,i_0_219,i_0_220,i_0_221,i_0_222,i_0_223,i_0_239,i_0_249,i_0_224,i_0_211,i_0_208,i_0_213,i_0_440,i_0_210,i_0_192,i_0_194,i_0_189,i_0_563,i_0_665,i_0_666,i_0_676,i_0_677,i_0_688,i_0_697,i_0_412,i_0_455,i_0_366,i_0_367,i_0_425,i_0_432,i_0_406,i_0_407,i_0_408,i_0_430]) ).

cnf(i_0_1679,plain,
    totalorderP(app(cons(esk1_0,nil),nil)),
    inference(scs_inference,[],[i_0_302,i_0_464,i_0_466,i_0_468,i_0_647,i_0_649,i_0_651,i_0_369,i_0_482,i_0_629,i_0_631,i_0_633,i_0_653,i_0_476,i_0_598,i_0_475,i_0_368,i_0_515,i_0_384,i_0_462,i_0_383,i_0_373,i_0_371,i_0_377,i_0_386,i_0_390,i_0_385,i_0_378,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_402,i_0_403,i_0_404,i_0_405,i_0_305,i_0_309,i_0_357,i_0_358,i_0_359,i_0_293,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299,i_0_354,i_0_355,i_0_392,i_0_409,i_0_410,i_0_411,i_0_413,i_0_414,i_0_415,i_0_416,i_0_423,i_0_329,i_0_330,i_0_331,i_0_332,i_0_333,i_0_280,i_0_289,i_0_306,i_0_307,i_0_308,i_0_360,i_0_361,i_0_362,i_0_363,i_0_364,i_0_365,i_0_263,i_0_290,i_0_277,i_0_278,i_0_291,i_0_292,i_0_250,i_0_705,i_0_197,i_0_454,i_0_428,i_0_429,i_0_433,i_0_452,i_0_279,i_0_393,i_0_421,i_0_422,i_0_270,i_0_242,i_0_243,i_0_244,i_0_245,i_0_284,i_0_285,i_0_286,i_0_235,i_0_273,i_0_215,i_0_216,i_0_248,i_0_205,i_0_234,i_0_447,i_0_219,i_0_220,i_0_221,i_0_222,i_0_223,i_0_239,i_0_249,i_0_224,i_0_211,i_0_208,i_0_213,i_0_440,i_0_210,i_0_192,i_0_194,i_0_189,i_0_563,i_0_665,i_0_666,i_0_676,i_0_677,i_0_688,i_0_697,i_0_412,i_0_455,i_0_366,i_0_367,i_0_425,i_0_432,i_0_406,i_0_407,i_0_408,i_0_430,i_0_431]) ).

cnf(i_0_1680,plain,
    ~ gt(esk2_0,esk2_0),
    inference(scs_inference,[],[i_0_302,i_0_464,i_0_466,i_0_468,i_0_647,i_0_649,i_0_651,i_0_369,i_0_482,i_0_629,i_0_631,i_0_633,i_0_653,i_0_476,i_0_598,i_0_475,i_0_368,i_0_515,i_0_384,i_0_462,i_0_383,i_0_373,i_0_371,i_0_377,i_0_386,i_0_390,i_0_385,i_0_378,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_402,i_0_403,i_0_404,i_0_405,i_0_305,i_0_309,i_0_357,i_0_358,i_0_359,i_0_293,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299,i_0_354,i_0_355,i_0_392,i_0_409,i_0_410,i_0_411,i_0_413,i_0_414,i_0_415,i_0_416,i_0_423,i_0_329,i_0_330,i_0_331,i_0_332,i_0_333,i_0_280,i_0_289,i_0_306,i_0_307,i_0_308,i_0_360,i_0_361,i_0_362,i_0_363,i_0_364,i_0_365,i_0_263,i_0_290,i_0_277,i_0_278,i_0_291,i_0_292,i_0_250,i_0_705,i_0_197,i_0_454,i_0_428,i_0_429,i_0_433,i_0_452,i_0_279,i_0_393,i_0_421,i_0_422,i_0_270,i_0_242,i_0_243,i_0_244,i_0_245,i_0_284,i_0_285,i_0_286,i_0_235,i_0_273,i_0_215,i_0_216,i_0_248,i_0_205,i_0_234,i_0_447,i_0_219,i_0_220,i_0_221,i_0_222,i_0_223,i_0_239,i_0_249,i_0_224,i_0_211,i_0_208,i_0_213,i_0_440,i_0_210,i_0_192,i_0_194,i_0_189,i_0_563,i_0_665,i_0_666,i_0_676,i_0_677,i_0_688,i_0_697,i_0_412,i_0_455,i_0_366,i_0_367,i_0_425,i_0_432,i_0_406,i_0_407,i_0_408,i_0_430,i_0_431,i_0_258]) ).

cnf(i_0_1682,plain,
    ~ lt(esk2_0,esk2_0),
    inference(scs_inference,[],[i_0_302,i_0_464,i_0_466,i_0_468,i_0_647,i_0_649,i_0_651,i_0_369,i_0_482,i_0_629,i_0_631,i_0_633,i_0_653,i_0_476,i_0_598,i_0_475,i_0_368,i_0_515,i_0_384,i_0_462,i_0_383,i_0_373,i_0_371,i_0_377,i_0_386,i_0_390,i_0_385,i_0_378,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_402,i_0_403,i_0_404,i_0_405,i_0_305,i_0_309,i_0_357,i_0_358,i_0_359,i_0_293,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299,i_0_354,i_0_355,i_0_392,i_0_409,i_0_410,i_0_411,i_0_413,i_0_414,i_0_415,i_0_416,i_0_423,i_0_329,i_0_330,i_0_331,i_0_332,i_0_333,i_0_280,i_0_289,i_0_306,i_0_307,i_0_308,i_0_360,i_0_361,i_0_362,i_0_363,i_0_364,i_0_365,i_0_263,i_0_290,i_0_277,i_0_278,i_0_291,i_0_292,i_0_250,i_0_705,i_0_197,i_0_454,i_0_428,i_0_429,i_0_433,i_0_452,i_0_279,i_0_393,i_0_421,i_0_422,i_0_270,i_0_242,i_0_243,i_0_244,i_0_245,i_0_284,i_0_285,i_0_286,i_0_235,i_0_273,i_0_215,i_0_216,i_0_248,i_0_205,i_0_234,i_0_447,i_0_219,i_0_220,i_0_221,i_0_222,i_0_223,i_0_239,i_0_249,i_0_224,i_0_211,i_0_208,i_0_213,i_0_440,i_0_210,i_0_192,i_0_194,i_0_189,i_0_563,i_0_665,i_0_666,i_0_676,i_0_677,i_0_688,i_0_697,i_0_412,i_0_455,i_0_366,i_0_367,i_0_425,i_0_432,i_0_406,i_0_407,i_0_408,i_0_430,i_0_431,i_0_258,i_0_259]) ).

cnf(i_0_1684,plain,
    ~ lt(esk25_1(esk48_0),esk26_1(esk48_0)),
    inference(scs_inference,[],[i_0_302,i_0_464,i_0_466,i_0_468,i_0_647,i_0_649,i_0_651,i_0_369,i_0_482,i_0_629,i_0_631,i_0_633,i_0_653,i_0_476,i_0_598,i_0_475,i_0_368,i_0_515,i_0_384,i_0_462,i_0_383,i_0_373,i_0_371,i_0_377,i_0_386,i_0_390,i_0_385,i_0_378,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_402,i_0_403,i_0_404,i_0_405,i_0_305,i_0_309,i_0_357,i_0_358,i_0_359,i_0_293,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299,i_0_354,i_0_355,i_0_392,i_0_409,i_0_410,i_0_411,i_0_413,i_0_414,i_0_415,i_0_416,i_0_423,i_0_329,i_0_330,i_0_331,i_0_332,i_0_333,i_0_280,i_0_289,i_0_306,i_0_307,i_0_308,i_0_360,i_0_361,i_0_362,i_0_363,i_0_364,i_0_365,i_0_263,i_0_290,i_0_277,i_0_278,i_0_291,i_0_292,i_0_250,i_0_705,i_0_197,i_0_454,i_0_428,i_0_429,i_0_433,i_0_452,i_0_279,i_0_393,i_0_421,i_0_422,i_0_270,i_0_242,i_0_243,i_0_244,i_0_245,i_0_284,i_0_285,i_0_286,i_0_235,i_0_273,i_0_215,i_0_216,i_0_248,i_0_205,i_0_234,i_0_447,i_0_219,i_0_220,i_0_221,i_0_222,i_0_223,i_0_239,i_0_249,i_0_224,i_0_211,i_0_208,i_0_213,i_0_440,i_0_210,i_0_192,i_0_194,i_0_189,i_0_563,i_0_665,i_0_666,i_0_676,i_0_677,i_0_688,i_0_697,i_0_412,i_0_455,i_0_366,i_0_367,i_0_425,i_0_432,i_0_406,i_0_407,i_0_408,i_0_430,i_0_431,i_0_258,i_0_259,i_0_271]) ).

cnf(i_0_1686,plain,
    ~ lt(esk46_1(esk48_0),hd(esk48_0)),
    inference(scs_inference,[],[i_0_302,i_0_464,i_0_466,i_0_468,i_0_647,i_0_649,i_0_651,i_0_369,i_0_482,i_0_629,i_0_631,i_0_633,i_0_653,i_0_476,i_0_598,i_0_475,i_0_368,i_0_515,i_0_384,i_0_462,i_0_383,i_0_373,i_0_371,i_0_377,i_0_386,i_0_390,i_0_385,i_0_378,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_402,i_0_403,i_0_404,i_0_405,i_0_305,i_0_309,i_0_357,i_0_358,i_0_359,i_0_293,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299,i_0_354,i_0_355,i_0_392,i_0_409,i_0_410,i_0_411,i_0_413,i_0_414,i_0_415,i_0_416,i_0_423,i_0_329,i_0_330,i_0_331,i_0_332,i_0_333,i_0_280,i_0_289,i_0_306,i_0_307,i_0_308,i_0_360,i_0_361,i_0_362,i_0_363,i_0_364,i_0_365,i_0_263,i_0_290,i_0_277,i_0_278,i_0_291,i_0_292,i_0_250,i_0_705,i_0_197,i_0_454,i_0_428,i_0_429,i_0_433,i_0_452,i_0_279,i_0_393,i_0_421,i_0_422,i_0_270,i_0_242,i_0_243,i_0_244,i_0_245,i_0_284,i_0_285,i_0_286,i_0_235,i_0_273,i_0_215,i_0_216,i_0_248,i_0_205,i_0_234,i_0_447,i_0_219,i_0_220,i_0_221,i_0_222,i_0_223,i_0_239,i_0_249,i_0_224,i_0_211,i_0_208,i_0_213,i_0_440,i_0_210,i_0_192,i_0_194,i_0_189,i_0_563,i_0_665,i_0_666,i_0_676,i_0_677,i_0_688,i_0_697,i_0_412,i_0_455,i_0_366,i_0_367,i_0_425,i_0_432,i_0_406,i_0_407,i_0_408,i_0_430,i_0_431,i_0_258,i_0_259,i_0_271,i_0_282]) ).

cnf(i_0_1688,plain,
    neq(nil,esk48_0),
    inference(scs_inference,[],[i_0_302,i_0_464,i_0_466,i_0_468,i_0_647,i_0_649,i_0_651,i_0_369,i_0_482,i_0_629,i_0_631,i_0_633,i_0_653,i_0_476,i_0_598,i_0_475,i_0_368,i_0_515,i_0_384,i_0_462,i_0_383,i_0_373,i_0_371,i_0_377,i_0_386,i_0_390,i_0_385,i_0_378,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_402,i_0_403,i_0_404,i_0_405,i_0_305,i_0_309,i_0_357,i_0_358,i_0_359,i_0_293,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299,i_0_354,i_0_355,i_0_392,i_0_409,i_0_410,i_0_411,i_0_413,i_0_414,i_0_415,i_0_416,i_0_423,i_0_329,i_0_330,i_0_331,i_0_332,i_0_333,i_0_280,i_0_289,i_0_306,i_0_307,i_0_308,i_0_360,i_0_361,i_0_362,i_0_363,i_0_364,i_0_365,i_0_263,i_0_290,i_0_277,i_0_278,i_0_291,i_0_292,i_0_250,i_0_705,i_0_197,i_0_454,i_0_428,i_0_429,i_0_433,i_0_452,i_0_279,i_0_393,i_0_421,i_0_422,i_0_270,i_0_242,i_0_243,i_0_244,i_0_245,i_0_284,i_0_285,i_0_286,i_0_235,i_0_273,i_0_215,i_0_216,i_0_248,i_0_205,i_0_234,i_0_447,i_0_219,i_0_220,i_0_221,i_0_222,i_0_223,i_0_239,i_0_249,i_0_224,i_0_211,i_0_208,i_0_213,i_0_440,i_0_210,i_0_192,i_0_194,i_0_189,i_0_563,i_0_665,i_0_666,i_0_676,i_0_677,i_0_688,i_0_697,i_0_412,i_0_455,i_0_366,i_0_367,i_0_425,i_0_432,i_0_406,i_0_407,i_0_408,i_0_430,i_0_431,i_0_258,i_0_259,i_0_271,i_0_282,i_0_303]) ).

cnf(i_0_1690,plain,
    frontsegP(app(cons(esk1_0,nil),nil),cons(esk1_0,nil)),
    inference(scs_inference,[],[i_0_302,i_0_464,i_0_466,i_0_468,i_0_647,i_0_649,i_0_651,i_0_369,i_0_482,i_0_629,i_0_631,i_0_633,i_0_653,i_0_476,i_0_598,i_0_475,i_0_368,i_0_515,i_0_384,i_0_462,i_0_383,i_0_373,i_0_371,i_0_377,i_0_386,i_0_390,i_0_385,i_0_378,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_402,i_0_403,i_0_404,i_0_405,i_0_305,i_0_309,i_0_357,i_0_358,i_0_359,i_0_293,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299,i_0_354,i_0_355,i_0_392,i_0_409,i_0_410,i_0_411,i_0_413,i_0_414,i_0_415,i_0_416,i_0_423,i_0_329,i_0_330,i_0_331,i_0_332,i_0_333,i_0_280,i_0_289,i_0_306,i_0_307,i_0_308,i_0_360,i_0_361,i_0_362,i_0_363,i_0_364,i_0_365,i_0_263,i_0_290,i_0_277,i_0_278,i_0_291,i_0_292,i_0_250,i_0_705,i_0_197,i_0_454,i_0_428,i_0_429,i_0_433,i_0_452,i_0_279,i_0_393,i_0_421,i_0_422,i_0_270,i_0_242,i_0_243,i_0_244,i_0_245,i_0_284,i_0_285,i_0_286,i_0_235,i_0_273,i_0_215,i_0_216,i_0_248,i_0_205,i_0_234,i_0_447,i_0_219,i_0_220,i_0_221,i_0_222,i_0_223,i_0_239,i_0_249,i_0_224,i_0_211,i_0_208,i_0_213,i_0_440,i_0_210,i_0_192,i_0_194,i_0_189,i_0_563,i_0_665,i_0_666,i_0_676,i_0_677,i_0_688,i_0_697,i_0_412,i_0_455,i_0_366,i_0_367,i_0_425,i_0_432,i_0_406,i_0_407,i_0_408,i_0_430,i_0_431,i_0_258,i_0_259,i_0_271,i_0_282,i_0_303,i_0_449]) ).

cnf(i_0_1692,plain,
    neq(esk1_0,esk2_0),
    inference(scs_inference,[],[i_0_302,i_0_464,i_0_466,i_0_468,i_0_647,i_0_649,i_0_651,i_0_369,i_0_482,i_0_629,i_0_631,i_0_633,i_0_653,i_0_476,i_0_598,i_0_475,i_0_368,i_0_515,i_0_388,i_0_384,i_0_462,i_0_383,i_0_373,i_0_371,i_0_377,i_0_386,i_0_390,i_0_385,i_0_378,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_402,i_0_403,i_0_404,i_0_405,i_0_305,i_0_309,i_0_357,i_0_358,i_0_359,i_0_293,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299,i_0_354,i_0_355,i_0_392,i_0_409,i_0_410,i_0_411,i_0_413,i_0_414,i_0_415,i_0_416,i_0_423,i_0_329,i_0_330,i_0_331,i_0_332,i_0_333,i_0_280,i_0_289,i_0_306,i_0_307,i_0_308,i_0_360,i_0_361,i_0_362,i_0_363,i_0_364,i_0_365,i_0_263,i_0_290,i_0_277,i_0_278,i_0_291,i_0_292,i_0_250,i_0_705,i_0_197,i_0_454,i_0_428,i_0_429,i_0_433,i_0_452,i_0_279,i_0_393,i_0_421,i_0_422,i_0_270,i_0_242,i_0_243,i_0_244,i_0_245,i_0_284,i_0_285,i_0_286,i_0_235,i_0_273,i_0_215,i_0_216,i_0_248,i_0_205,i_0_234,i_0_447,i_0_219,i_0_220,i_0_221,i_0_222,i_0_223,i_0_239,i_0_249,i_0_224,i_0_211,i_0_208,i_0_213,i_0_440,i_0_210,i_0_192,i_0_194,i_0_189,i_0_563,i_0_665,i_0_666,i_0_676,i_0_677,i_0_688,i_0_697,i_0_412,i_0_455,i_0_366,i_0_367,i_0_425,i_0_432,i_0_406,i_0_407,i_0_408,i_0_430,i_0_431,i_0_258,i_0_259,i_0_271,i_0_282,i_0_303,i_0_449,i_0_304]) ).

cnf(i_0_1694,plain,
    app(nil,nil) != app(esk48_0,nil),
    inference(scs_inference,[],[i_0_302,i_0_464,i_0_466,i_0_468,i_0_647,i_0_649,i_0_651,i_0_369,i_0_482,i_0_629,i_0_631,i_0_633,i_0_653,i_0_476,i_0_598,i_0_475,i_0_368,i_0_515,i_0_388,i_0_384,i_0_462,i_0_383,i_0_373,i_0_371,i_0_377,i_0_386,i_0_390,i_0_385,i_0_378,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_402,i_0_403,i_0_404,i_0_405,i_0_305,i_0_309,i_0_357,i_0_358,i_0_359,i_0_293,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299,i_0_354,i_0_355,i_0_392,i_0_409,i_0_410,i_0_411,i_0_413,i_0_414,i_0_415,i_0_416,i_0_423,i_0_329,i_0_330,i_0_331,i_0_332,i_0_333,i_0_280,i_0_289,i_0_306,i_0_307,i_0_308,i_0_360,i_0_361,i_0_362,i_0_363,i_0_364,i_0_365,i_0_263,i_0_290,i_0_277,i_0_278,i_0_291,i_0_292,i_0_250,i_0_705,i_0_197,i_0_454,i_0_428,i_0_429,i_0_433,i_0_452,i_0_279,i_0_393,i_0_421,i_0_422,i_0_270,i_0_242,i_0_243,i_0_244,i_0_245,i_0_284,i_0_285,i_0_286,i_0_235,i_0_273,i_0_215,i_0_216,i_0_248,i_0_205,i_0_234,i_0_447,i_0_219,i_0_220,i_0_221,i_0_222,i_0_223,i_0_239,i_0_249,i_0_224,i_0_211,i_0_208,i_0_213,i_0_440,i_0_210,i_0_192,i_0_194,i_0_189,i_0_563,i_0_665,i_0_666,i_0_676,i_0_677,i_0_688,i_0_697,i_0_412,i_0_455,i_0_366,i_0_367,i_0_425,i_0_432,i_0_406,i_0_407,i_0_408,i_0_430,i_0_431,i_0_258,i_0_259,i_0_271,i_0_282,i_0_303,i_0_449,i_0_304,i_0_240]) ).

cnf(i_0_1696,plain,
    app(nil,nil) != app(nil,esk48_0),
    inference(scs_inference,[],[i_0_302,i_0_464,i_0_466,i_0_468,i_0_647,i_0_649,i_0_651,i_0_369,i_0_482,i_0_629,i_0_631,i_0_633,i_0_653,i_0_476,i_0_598,i_0_475,i_0_368,i_0_515,i_0_388,i_0_384,i_0_462,i_0_383,i_0_373,i_0_371,i_0_377,i_0_386,i_0_390,i_0_385,i_0_378,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_402,i_0_403,i_0_404,i_0_405,i_0_305,i_0_309,i_0_357,i_0_358,i_0_359,i_0_293,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299,i_0_354,i_0_355,i_0_392,i_0_409,i_0_410,i_0_411,i_0_413,i_0_414,i_0_415,i_0_416,i_0_423,i_0_329,i_0_330,i_0_331,i_0_332,i_0_333,i_0_280,i_0_289,i_0_306,i_0_307,i_0_308,i_0_360,i_0_361,i_0_362,i_0_363,i_0_364,i_0_365,i_0_263,i_0_290,i_0_277,i_0_278,i_0_291,i_0_292,i_0_250,i_0_705,i_0_197,i_0_454,i_0_428,i_0_429,i_0_433,i_0_452,i_0_279,i_0_393,i_0_421,i_0_422,i_0_270,i_0_242,i_0_243,i_0_244,i_0_245,i_0_284,i_0_285,i_0_286,i_0_235,i_0_273,i_0_215,i_0_216,i_0_248,i_0_205,i_0_234,i_0_447,i_0_219,i_0_220,i_0_221,i_0_222,i_0_223,i_0_239,i_0_249,i_0_224,i_0_211,i_0_208,i_0_213,i_0_440,i_0_210,i_0_192,i_0_194,i_0_189,i_0_563,i_0_665,i_0_666,i_0_676,i_0_677,i_0_688,i_0_697,i_0_412,i_0_455,i_0_366,i_0_367,i_0_425,i_0_432,i_0_406,i_0_407,i_0_408,i_0_430,i_0_431,i_0_258,i_0_259,i_0_271,i_0_282,i_0_303,i_0_449,i_0_304,i_0_240,i_0_241]) ).

cnf(i_0_1698,plain,
    app(nil,esk48_0) != nil,
    inference(scs_inference,[],[i_0_302,i_0_464,i_0_466,i_0_468,i_0_647,i_0_649,i_0_651,i_0_369,i_0_482,i_0_629,i_0_631,i_0_633,i_0_653,i_0_476,i_0_598,i_0_475,i_0_368,i_0_515,i_0_388,i_0_384,i_0_462,i_0_383,i_0_373,i_0_371,i_0_377,i_0_386,i_0_390,i_0_385,i_0_378,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_402,i_0_403,i_0_404,i_0_405,i_0_305,i_0_309,i_0_357,i_0_358,i_0_359,i_0_293,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299,i_0_354,i_0_355,i_0_392,i_0_409,i_0_410,i_0_411,i_0_413,i_0_414,i_0_415,i_0_416,i_0_423,i_0_329,i_0_330,i_0_331,i_0_332,i_0_333,i_0_280,i_0_289,i_0_306,i_0_307,i_0_308,i_0_360,i_0_361,i_0_362,i_0_363,i_0_364,i_0_365,i_0_263,i_0_290,i_0_277,i_0_278,i_0_291,i_0_292,i_0_250,i_0_705,i_0_197,i_0_454,i_0_428,i_0_429,i_0_433,i_0_452,i_0_279,i_0_393,i_0_421,i_0_422,i_0_270,i_0_242,i_0_243,i_0_244,i_0_245,i_0_284,i_0_285,i_0_286,i_0_235,i_0_273,i_0_215,i_0_216,i_0_248,i_0_205,i_0_234,i_0_447,i_0_219,i_0_220,i_0_221,i_0_222,i_0_223,i_0_239,i_0_249,i_0_224,i_0_211,i_0_208,i_0_213,i_0_440,i_0_210,i_0_192,i_0_194,i_0_189,i_0_563,i_0_665,i_0_666,i_0_676,i_0_677,i_0_688,i_0_697,i_0_412,i_0_455,i_0_366,i_0_367,i_0_425,i_0_432,i_0_406,i_0_407,i_0_408,i_0_430,i_0_431,i_0_258,i_0_259,i_0_271,i_0_282,i_0_303,i_0_449,i_0_304,i_0_240,i_0_241,i_0_256]) ).

cnf(i_0_1700,plain,
    app(esk48_0,nil) != nil,
    inference(scs_inference,[],[i_0_302,i_0_464,i_0_466,i_0_468,i_0_647,i_0_649,i_0_651,i_0_369,i_0_482,i_0_629,i_0_631,i_0_633,i_0_653,i_0_476,i_0_598,i_0_475,i_0_368,i_0_515,i_0_388,i_0_384,i_0_462,i_0_383,i_0_373,i_0_371,i_0_377,i_0_386,i_0_390,i_0_385,i_0_378,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_402,i_0_403,i_0_404,i_0_405,i_0_305,i_0_309,i_0_357,i_0_358,i_0_359,i_0_293,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299,i_0_354,i_0_355,i_0_392,i_0_409,i_0_410,i_0_411,i_0_413,i_0_414,i_0_415,i_0_416,i_0_423,i_0_329,i_0_330,i_0_331,i_0_332,i_0_333,i_0_280,i_0_289,i_0_306,i_0_307,i_0_308,i_0_360,i_0_361,i_0_362,i_0_363,i_0_364,i_0_365,i_0_263,i_0_290,i_0_277,i_0_278,i_0_291,i_0_292,i_0_250,i_0_705,i_0_197,i_0_454,i_0_428,i_0_429,i_0_433,i_0_452,i_0_279,i_0_393,i_0_421,i_0_422,i_0_270,i_0_242,i_0_243,i_0_244,i_0_245,i_0_284,i_0_285,i_0_286,i_0_235,i_0_273,i_0_215,i_0_216,i_0_248,i_0_205,i_0_234,i_0_447,i_0_219,i_0_220,i_0_221,i_0_222,i_0_223,i_0_239,i_0_249,i_0_224,i_0_211,i_0_208,i_0_213,i_0_440,i_0_210,i_0_192,i_0_194,i_0_189,i_0_563,i_0_665,i_0_666,i_0_676,i_0_677,i_0_688,i_0_697,i_0_412,i_0_455,i_0_366,i_0_367,i_0_425,i_0_432,i_0_406,i_0_407,i_0_408,i_0_430,i_0_431,i_0_258,i_0_259,i_0_271,i_0_282,i_0_303,i_0_449,i_0_304,i_0_240,i_0_241,i_0_256,i_0_257]) ).

cnf(i_0_1702,plain,
    cons(esk1_0,nil) != cons(esk2_0,nil),
    inference(scs_inference,[],[i_0_302,i_0_464,i_0_466,i_0_468,i_0_647,i_0_649,i_0_651,i_0_369,i_0_482,i_0_629,i_0_631,i_0_633,i_0_653,i_0_476,i_0_598,i_0_475,i_0_368,i_0_515,i_0_388,i_0_384,i_0_462,i_0_383,i_0_373,i_0_371,i_0_377,i_0_386,i_0_390,i_0_385,i_0_378,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_402,i_0_403,i_0_404,i_0_405,i_0_305,i_0_309,i_0_357,i_0_358,i_0_359,i_0_293,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299,i_0_354,i_0_355,i_0_392,i_0_409,i_0_410,i_0_411,i_0_413,i_0_414,i_0_415,i_0_416,i_0_423,i_0_329,i_0_330,i_0_331,i_0_332,i_0_333,i_0_280,i_0_289,i_0_306,i_0_307,i_0_308,i_0_360,i_0_361,i_0_362,i_0_363,i_0_364,i_0_365,i_0_263,i_0_290,i_0_277,i_0_278,i_0_291,i_0_292,i_0_250,i_0_705,i_0_197,i_0_454,i_0_428,i_0_429,i_0_433,i_0_452,i_0_279,i_0_393,i_0_421,i_0_422,i_0_270,i_0_242,i_0_243,i_0_244,i_0_245,i_0_284,i_0_285,i_0_286,i_0_235,i_0_273,i_0_215,i_0_216,i_0_248,i_0_205,i_0_234,i_0_447,i_0_219,i_0_220,i_0_221,i_0_222,i_0_223,i_0_239,i_0_249,i_0_224,i_0_211,i_0_208,i_0_213,i_0_440,i_0_210,i_0_192,i_0_194,i_0_189,i_0_563,i_0_665,i_0_666,i_0_676,i_0_677,i_0_688,i_0_697,i_0_412,i_0_455,i_0_366,i_0_367,i_0_425,i_0_432,i_0_406,i_0_407,i_0_408,i_0_430,i_0_431,i_0_258,i_0_259,i_0_271,i_0_282,i_0_303,i_0_449,i_0_304,i_0_240,i_0_241,i_0_256,i_0_257,i_0_236]) ).

cnf(i_0_1704,plain,
    segmentP(app(app(esk52_0,esk50_0),esk53_0),esk50_0),
    inference(scs_inference,[],[i_0_302,i_0_464,i_0_466,i_0_468,i_0_484,i_0_647,i_0_649,i_0_651,i_0_369,i_0_482,i_0_629,i_0_631,i_0_633,i_0_653,i_0_476,i_0_598,i_0_475,i_0_368,i_0_515,i_0_388,i_0_384,i_0_462,i_0_383,i_0_373,i_0_371,i_0_377,i_0_386,i_0_381,i_0_390,i_0_380,i_0_474,i_0_385,i_0_378,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_402,i_0_403,i_0_404,i_0_405,i_0_305,i_0_309,i_0_357,i_0_358,i_0_359,i_0_293,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299,i_0_354,i_0_355,i_0_392,i_0_409,i_0_410,i_0_411,i_0_413,i_0_414,i_0_415,i_0_416,i_0_423,i_0_329,i_0_330,i_0_331,i_0_332,i_0_333,i_0_280,i_0_289,i_0_306,i_0_307,i_0_308,i_0_360,i_0_361,i_0_362,i_0_363,i_0_364,i_0_365,i_0_263,i_0_290,i_0_277,i_0_278,i_0_291,i_0_292,i_0_250,i_0_705,i_0_197,i_0_454,i_0_428,i_0_429,i_0_433,i_0_452,i_0_279,i_0_393,i_0_421,i_0_422,i_0_270,i_0_242,i_0_243,i_0_244,i_0_245,i_0_284,i_0_285,i_0_286,i_0_235,i_0_273,i_0_215,i_0_216,i_0_248,i_0_205,i_0_234,i_0_447,i_0_219,i_0_220,i_0_221,i_0_222,i_0_223,i_0_239,i_0_249,i_0_224,i_0_211,i_0_208,i_0_213,i_0_440,i_0_210,i_0_192,i_0_194,i_0_189,i_0_563,i_0_665,i_0_666,i_0_676,i_0_677,i_0_688,i_0_697,i_0_412,i_0_455,i_0_366,i_0_367,i_0_425,i_0_432,i_0_406,i_0_407,i_0_408,i_0_430,i_0_431,i_0_258,i_0_259,i_0_271,i_0_282,i_0_303,i_0_449,i_0_304,i_0_240,i_0_241,i_0_256,i_0_257,i_0_236,i_0_231]) ).

cnf(i_0_1706,plain,
    ~ frontsegP(cons(esk1_0,nil),cons(esk1_0,esk48_0)),
    inference(scs_inference,[],[i_0_302,i_0_464,i_0_466,i_0_468,i_0_484,i_0_647,i_0_649,i_0_651,i_0_369,i_0_482,i_0_629,i_0_631,i_0_633,i_0_653,i_0_476,i_0_598,i_0_475,i_0_368,i_0_515,i_0_388,i_0_384,i_0_462,i_0_383,i_0_373,i_0_371,i_0_377,i_0_386,i_0_381,i_0_390,i_0_380,i_0_474,i_0_385,i_0_378,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_402,i_0_403,i_0_404,i_0_405,i_0_305,i_0_309,i_0_357,i_0_358,i_0_359,i_0_293,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299,i_0_354,i_0_355,i_0_392,i_0_409,i_0_410,i_0_411,i_0_413,i_0_414,i_0_415,i_0_416,i_0_423,i_0_329,i_0_330,i_0_331,i_0_332,i_0_333,i_0_280,i_0_289,i_0_306,i_0_307,i_0_308,i_0_360,i_0_361,i_0_362,i_0_363,i_0_364,i_0_365,i_0_263,i_0_290,i_0_277,i_0_278,i_0_291,i_0_292,i_0_250,i_0_705,i_0_197,i_0_454,i_0_428,i_0_429,i_0_433,i_0_452,i_0_279,i_0_393,i_0_421,i_0_422,i_0_270,i_0_242,i_0_243,i_0_244,i_0_245,i_0_284,i_0_285,i_0_286,i_0_235,i_0_273,i_0_215,i_0_216,i_0_248,i_0_205,i_0_234,i_0_447,i_0_219,i_0_220,i_0_221,i_0_222,i_0_223,i_0_239,i_0_249,i_0_224,i_0_211,i_0_208,i_0_213,i_0_440,i_0_210,i_0_192,i_0_194,i_0_189,i_0_563,i_0_665,i_0_666,i_0_676,i_0_677,i_0_688,i_0_697,i_0_412,i_0_455,i_0_366,i_0_367,i_0_425,i_0_432,i_0_406,i_0_407,i_0_408,i_0_430,i_0_431,i_0_258,i_0_259,i_0_271,i_0_282,i_0_303,i_0_449,i_0_304,i_0_240,i_0_241,i_0_256,i_0_257,i_0_236,i_0_231,i_0_207]) ).

cnf(i_0_1708,plain,
    app(app(nil,esk48_0),nil) != nil,
    inference(scs_inference,[],[i_0_302,i_0_464,i_0_466,i_0_468,i_0_484,i_0_647,i_0_649,i_0_651,i_0_369,i_0_482,i_0_629,i_0_631,i_0_633,i_0_653,i_0_476,i_0_598,i_0_475,i_0_368,i_0_515,i_0_388,i_0_384,i_0_462,i_0_383,i_0_373,i_0_371,i_0_377,i_0_386,i_0_381,i_0_390,i_0_380,i_0_474,i_0_385,i_0_378,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_402,i_0_403,i_0_404,i_0_405,i_0_305,i_0_309,i_0_357,i_0_358,i_0_359,i_0_293,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299,i_0_354,i_0_355,i_0_392,i_0_409,i_0_410,i_0_411,i_0_413,i_0_414,i_0_415,i_0_416,i_0_423,i_0_329,i_0_330,i_0_331,i_0_332,i_0_333,i_0_280,i_0_289,i_0_306,i_0_307,i_0_308,i_0_360,i_0_361,i_0_362,i_0_363,i_0_364,i_0_365,i_0_263,i_0_290,i_0_277,i_0_278,i_0_291,i_0_292,i_0_250,i_0_705,i_0_197,i_0_454,i_0_428,i_0_429,i_0_433,i_0_452,i_0_279,i_0_393,i_0_421,i_0_422,i_0_270,i_0_242,i_0_243,i_0_244,i_0_245,i_0_284,i_0_285,i_0_286,i_0_235,i_0_273,i_0_215,i_0_216,i_0_248,i_0_205,i_0_234,i_0_447,i_0_219,i_0_220,i_0_221,i_0_222,i_0_223,i_0_239,i_0_249,i_0_224,i_0_211,i_0_208,i_0_213,i_0_440,i_0_210,i_0_192,i_0_194,i_0_189,i_0_563,i_0_665,i_0_666,i_0_676,i_0_677,i_0_688,i_0_697,i_0_412,i_0_455,i_0_366,i_0_367,i_0_425,i_0_432,i_0_406,i_0_407,i_0_408,i_0_430,i_0_431,i_0_258,i_0_259,i_0_271,i_0_282,i_0_303,i_0_449,i_0_304,i_0_240,i_0_241,i_0_256,i_0_257,i_0_236,i_0_231,i_0_207,i_0_212]) ).

cnf(i_0_1710,plain,
    app(nil,cons(esk1_0,cons(esk2_0,nil))) != nil,
    inference(scs_inference,[],[i_0_302,i_0_464,i_0_466,i_0_468,i_0_484,i_0_647,i_0_649,i_0_651,i_0_369,i_0_482,i_0_629,i_0_631,i_0_633,i_0_653,i_0_476,i_0_598,i_0_475,i_0_368,i_0_515,i_0_388,i_0_384,i_0_462,i_0_383,i_0_373,i_0_371,i_0_370,i_0_377,i_0_386,i_0_381,i_0_390,i_0_380,i_0_474,i_0_385,i_0_378,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_402,i_0_403,i_0_404,i_0_405,i_0_305,i_0_309,i_0_357,i_0_358,i_0_359,i_0_293,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299,i_0_354,i_0_355,i_0_392,i_0_409,i_0_410,i_0_411,i_0_413,i_0_414,i_0_415,i_0_416,i_0_423,i_0_329,i_0_330,i_0_331,i_0_332,i_0_333,i_0_280,i_0_289,i_0_306,i_0_307,i_0_308,i_0_360,i_0_361,i_0_362,i_0_363,i_0_364,i_0_365,i_0_263,i_0_290,i_0_277,i_0_278,i_0_291,i_0_292,i_0_250,i_0_705,i_0_197,i_0_454,i_0_428,i_0_429,i_0_433,i_0_452,i_0_279,i_0_393,i_0_421,i_0_422,i_0_270,i_0_242,i_0_243,i_0_244,i_0_245,i_0_284,i_0_285,i_0_286,i_0_235,i_0_273,i_0_215,i_0_216,i_0_248,i_0_205,i_0_234,i_0_447,i_0_219,i_0_220,i_0_221,i_0_222,i_0_223,i_0_239,i_0_249,i_0_224,i_0_211,i_0_208,i_0_213,i_0_440,i_0_210,i_0_192,i_0_194,i_0_189,i_0_563,i_0_665,i_0_666,i_0_676,i_0_677,i_0_688,i_0_697,i_0_412,i_0_455,i_0_366,i_0_367,i_0_425,i_0_432,i_0_406,i_0_407,i_0_408,i_0_430,i_0_431,i_0_258,i_0_259,i_0_271,i_0_282,i_0_303,i_0_449,i_0_304,i_0_240,i_0_241,i_0_256,i_0_257,i_0_236,i_0_231,i_0_207,i_0_212,i_0_201]) ).

cnf(i_0_1712,plain,
    app(app(nil,cons(esk25_1(esk48_0),nil)),cons(esk26_1(esk48_0),nil)) != nil,
    inference(scs_inference,[],[i_0_302,i_0_464,i_0_466,i_0_468,i_0_484,i_0_647,i_0_649,i_0_651,i_0_369,i_0_482,i_0_629,i_0_631,i_0_633,i_0_653,i_0_476,i_0_598,i_0_475,i_0_368,i_0_374,i_0_515,i_0_388,i_0_384,i_0_462,i_0_383,i_0_373,i_0_371,i_0_370,i_0_377,i_0_386,i_0_381,i_0_390,i_0_380,i_0_474,i_0_385,i_0_378,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_402,i_0_403,i_0_404,i_0_405,i_0_305,i_0_309,i_0_357,i_0_358,i_0_359,i_0_293,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299,i_0_354,i_0_355,i_0_392,i_0_409,i_0_410,i_0_411,i_0_413,i_0_414,i_0_415,i_0_416,i_0_423,i_0_329,i_0_330,i_0_331,i_0_332,i_0_333,i_0_280,i_0_289,i_0_306,i_0_307,i_0_308,i_0_360,i_0_361,i_0_362,i_0_363,i_0_364,i_0_365,i_0_263,i_0_290,i_0_277,i_0_278,i_0_291,i_0_292,i_0_250,i_0_705,i_0_197,i_0_454,i_0_428,i_0_429,i_0_433,i_0_452,i_0_279,i_0_393,i_0_421,i_0_422,i_0_270,i_0_242,i_0_243,i_0_244,i_0_245,i_0_284,i_0_285,i_0_286,i_0_235,i_0_273,i_0_215,i_0_216,i_0_248,i_0_205,i_0_234,i_0_447,i_0_219,i_0_220,i_0_221,i_0_222,i_0_223,i_0_239,i_0_249,i_0_224,i_0_211,i_0_208,i_0_213,i_0_440,i_0_210,i_0_192,i_0_194,i_0_189,i_0_563,i_0_665,i_0_666,i_0_676,i_0_677,i_0_688,i_0_697,i_0_412,i_0_455,i_0_366,i_0_367,i_0_425,i_0_432,i_0_406,i_0_407,i_0_408,i_0_430,i_0_431,i_0_258,i_0_259,i_0_271,i_0_282,i_0_303,i_0_449,i_0_304,i_0_240,i_0_241,i_0_256,i_0_257,i_0_236,i_0_231,i_0_207,i_0_212,i_0_201,i_0_193]) ).

cnf(i_0_1734,plain,
    app(nil,app(nil,nil)) = app(nil,nil),
    inference(scs_inference,[],[i_0_1590,i_0_1540,i_0_305,i_0_309,i_0_293,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299,i_0_354]) ).

cnf(i_0_1736,plain,
    app(app(nil,nil),nil) = app(nil,nil),
    inference(scs_inference,[],[i_0_1590,i_0_1540,i_0_305,i_0_309,i_0_293,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299,i_0_354,i_0_355]) ).

cnf(i_0_1738,plain,
    segmentP(app(nil,nil),nil),
    inference(scs_inference,[],[i_0_1590,i_0_1540,i_0_305,i_0_309,i_0_293,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299,i_0_354,i_0_355,i_0_357]) ).

cnf(i_0_1740,plain,
    rearsegP(cons(esk1_0,nil),nil),
    inference(scs_inference,[],[i_0_1590,i_0_1544,i_0_1540,i_0_305,i_0_309,i_0_293,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299,i_0_354,i_0_355,i_0_357,i_0_358]) ).

cnf(i_0_1742,plain,
    frontsegP(cons(esk1_0,nil),nil),
    inference(scs_inference,[],[i_0_1590,i_0_1544,i_0_1540,i_0_305,i_0_309,i_0_293,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299,i_0_354,i_0_355,i_0_357,i_0_358,i_0_359]) ).

cnf(i_0_1744,plain,
    app(app(nil,nil),X1) = app(nil,X1),
    inference(scs_inference,[],[i_0_1590,i_0_1544,i_0_1521,i_0_1540,i_0_305,i_0_309,i_0_293,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299,i_0_354,i_0_355,i_0_357,i_0_358,i_0_359,i_0_394]) ).

cnf(i_0_1745,plain,
    app(X1,app(nil,nil)) = app(X1,nil),
    inference(scs_inference,[],[i_0_1590,i_0_1544,i_0_1521,i_0_1540,i_0_305,i_0_309,i_0_293,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299,i_0_354,i_0_355,i_0_357,i_0_358,i_0_359,i_0_394,i_0_395]) ).

cnf(i_0_1746,plain,
    cons(app(nil,nil),X1) = cons(nil,X1),
    inference(scs_inference,[],[i_0_1590,i_0_1544,i_0_1521,i_0_1540,i_0_305,i_0_309,i_0_293,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299,i_0_354,i_0_355,i_0_357,i_0_358,i_0_359,i_0_394,i_0_395,i_0_396]) ).

cnf(i_0_1747,plain,
    cons(X1,app(nil,nil)) = cons(X1,nil),
    inference(scs_inference,[],[i_0_1590,i_0_1544,i_0_1521,i_0_1540,i_0_305,i_0_309,i_0_293,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299,i_0_354,i_0_355,i_0_357,i_0_358,i_0_359,i_0_394,i_0_395,i_0_396,i_0_397]) ).

cnf(i_0_1748,plain,
    esk40_1(app(nil,nil)) = esk40_1(nil),
    inference(scs_inference,[],[i_0_1590,i_0_1544,i_0_1521,i_0_1540,i_0_305,i_0_309,i_0_293,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299,i_0_354,i_0_355,i_0_357,i_0_358,i_0_359,i_0_394,i_0_395,i_0_396,i_0_397,i_0_398]) ).

cnf(i_0_1749,plain,
    esk41_1(app(nil,nil)) = esk41_1(nil),
    inference(scs_inference,[],[i_0_1590,i_0_1544,i_0_1521,i_0_1540,i_0_305,i_0_309,i_0_293,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299,i_0_354,i_0_355,i_0_357,i_0_358,i_0_359,i_0_394,i_0_395,i_0_396,i_0_397,i_0_398,i_0_399]) ).

cnf(i_0_1750,plain,
    esk35_1(app(nil,nil)) = esk35_1(nil),
    inference(scs_inference,[],[i_0_1590,i_0_1544,i_0_1521,i_0_1540,i_0_305,i_0_309,i_0_293,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299,i_0_354,i_0_355,i_0_357,i_0_358,i_0_359,i_0_394,i_0_395,i_0_396,i_0_397,i_0_398,i_0_399,i_0_400]) ).

cnf(i_0_1751,plain,
    hd(app(nil,nil)) = hd(nil),
    inference(scs_inference,[],[i_0_1590,i_0_1544,i_0_1521,i_0_1540,i_0_305,i_0_309,i_0_293,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299,i_0_354,i_0_355,i_0_357,i_0_358,i_0_359,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_1752,plain,
    tl(app(nil,nil)) = tl(nil),
    inference(scs_inference,[],[i_0_1590,i_0_1544,i_0_1521,i_0_1540,i_0_305,i_0_309,i_0_293,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299,i_0_354,i_0_355,i_0_357,i_0_358,i_0_359,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_402]) ).

cnf(i_0_1753,plain,
    esk47_1(app(nil,nil)) = esk47_1(nil),
    inference(scs_inference,[],[i_0_1590,i_0_1544,i_0_1521,i_0_1540,i_0_305,i_0_309,i_0_293,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299,i_0_354,i_0_355,i_0_357,i_0_358,i_0_359,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_402,i_0_403]) ).

cnf(i_0_1754,plain,
    esk46_1(app(nil,nil)) = esk46_1(nil),
    inference(scs_inference,[],[i_0_1590,i_0_1544,i_0_1521,i_0_1540,i_0_305,i_0_309,i_0_293,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299,i_0_354,i_0_355,i_0_357,i_0_358,i_0_359,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_402,i_0_403,i_0_404]) ).

cnf(i_0_1755,plain,
    esk36_1(app(nil,nil)) = esk36_1(nil),
    inference(scs_inference,[],[i_0_1590,i_0_1544,i_0_1521,i_0_1540,i_0_305,i_0_309,i_0_293,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299,i_0_354,i_0_355,i_0_357,i_0_358,i_0_359,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_402,i_0_403,i_0_404,i_0_405]) ).

cnf(i_0_1756,plain,
    ~ neq(esk53_0,app(esk7_2(esk53_0,esk53_0),esk53_0)),
    inference(scs_inference,[],[i_0_1590,i_0_1544,i_0_1521,i_0_1540,i_0_1623,i_0_305,i_0_309,i_0_293,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299,i_0_354,i_0_355,i_0_357,i_0_358,i_0_359,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_402,i_0_403,i_0_404,i_0_405,i_0_665]) ).

cnf(i_0_1757,plain,
    ~ neq(app(esk7_2(esk53_0,esk53_0),esk53_0),esk53_0),
    inference(scs_inference,[],[i_0_1590,i_0_1544,i_0_1521,i_0_1540,i_0_1623,i_0_305,i_0_309,i_0_293,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299,i_0_354,i_0_355,i_0_357,i_0_358,i_0_359,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_402,i_0_403,i_0_404,i_0_405,i_0_665,i_0_666]) ).

cnf(i_0_1758,plain,
    ~ neq(nil,tl(cons(esk1_0,nil))),
    inference(scs_inference,[],[i_0_1590,i_0_1544,i_0_1521,i_0_1540,i_0_1570,i_0_1623,i_0_305,i_0_309,i_0_293,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299,i_0_354,i_0_355,i_0_357,i_0_358,i_0_359,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_402,i_0_403,i_0_404,i_0_405,i_0_665,i_0_666,i_0_676]) ).

cnf(i_0_1759,plain,
    ~ neq(tl(cons(esk1_0,nil)),nil),
    inference(scs_inference,[],[i_0_1590,i_0_1544,i_0_1521,i_0_1540,i_0_1570,i_0_1623,i_0_305,i_0_309,i_0_293,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299,i_0_354,i_0_355,i_0_357,i_0_358,i_0_359,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_402,i_0_403,i_0_404,i_0_405,i_0_665,i_0_666,i_0_676,i_0_677]) ).

cnf(i_0_1715,plain,
    memberP(cons(esk2_0,esk53_0),esk2_0),
    inference(equality_inference,[],[1666]) ).

cnf(i_0_1760,plain,
    cons(esk2_0,nil) != cons(esk1_0,nil),
    inference(scs_inference,[],[i_0_1590,i_0_1702,i_0_1544,i_0_1521,i_0_1540,i_0_1570,i_0_1623,i_0_305,i_0_309,i_0_293,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299,i_0_354,i_0_355,i_0_357,i_0_358,i_0_359,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_402,i_0_403,i_0_404,i_0_405,i_0_665,i_0_666,i_0_676,i_0_677,i_0_392]) ).

cnf(i_0_1761,plain,
    ~ gt(esk1_0,hd(cons(esk1_0,nil))),
    inference(scs_inference,[],[i_0_1595,i_0_1590,i_0_1702,i_0_1544,i_0_1521,i_0_1540,i_0_1572,i_0_1570,i_0_1623,i_0_305,i_0_309,i_0_293,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299,i_0_354,i_0_355,i_0_357,i_0_358,i_0_359,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_402,i_0_403,i_0_404,i_0_405,i_0_665,i_0_666,i_0_676,i_0_677,i_0_392,i_0_418]) ).

cnf(i_0_1762,plain,
    ssItem(esk5_1(cons(esk1_0,nil))),
    inference(scs_inference,[],[i_0_1595,i_0_1590,i_0_1702,i_0_1667,i_0_1544,i_0_1521,i_0_1540,i_0_1572,i_0_1570,i_0_1623,i_0_305,i_0_309,i_0_293,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299,i_0_354,i_0_355,i_0_357,i_0_358,i_0_359,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_402,i_0_403,i_0_404,i_0_405,i_0_665,i_0_666,i_0_676,i_0_677,i_0_392,i_0_418,i_0_310]) ).

cnf(i_0_1764,plain,
    cons(esk5_1(cons(esk1_0,nil)),nil) = cons(esk1_0,nil),
    inference(scs_inference,[],[i_0_1595,i_0_1590,i_0_1702,i_0_1667,i_0_1544,i_0_1521,i_0_1540,i_0_1572,i_0_1570,i_0_1623,i_0_305,i_0_309,i_0_293,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299,i_0_354,i_0_355,i_0_357,i_0_358,i_0_359,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_402,i_0_403,i_0_404,i_0_405,i_0_665,i_0_666,i_0_676,i_0_677,i_0_392,i_0_418,i_0_310,i_0_300]) ).

cnf(i_0_1766,plain,
    ssList(esk29_1(esk50_0)),
    inference(scs_inference,[],[i_0_1595,i_0_1587,i_0_1590,i_0_1702,i_0_1667,i_0_1544,i_0_1521,i_0_1540,i_0_1572,i_0_1570,i_0_1623,i_0_381,i_0_305,i_0_309,i_0_293,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299,i_0_354,i_0_355,i_0_357,i_0_358,i_0_359,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_402,i_0_403,i_0_404,i_0_405,i_0_665,i_0_666,i_0_676,i_0_677,i_0_392,i_0_418,i_0_310,i_0_300,i_0_329]) ).

cnf(i_0_1768,plain,
    ssList(esk28_1(esk50_0)),
    inference(scs_inference,[],[i_0_1595,i_0_1587,i_0_1590,i_0_1702,i_0_1667,i_0_1544,i_0_1521,i_0_1540,i_0_1572,i_0_1570,i_0_1623,i_0_381,i_0_305,i_0_309,i_0_293,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299,i_0_354,i_0_355,i_0_357,i_0_358,i_0_359,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_402,i_0_403,i_0_404,i_0_405,i_0_665,i_0_666,i_0_676,i_0_677,i_0_392,i_0_418,i_0_310,i_0_300,i_0_329,i_0_330]) ).

cnf(i_0_1770,plain,
    ssList(esk27_1(esk50_0)),
    inference(scs_inference,[],[i_0_1595,i_0_1587,i_0_1590,i_0_1702,i_0_1667,i_0_1544,i_0_1521,i_0_1540,i_0_1572,i_0_1570,i_0_1623,i_0_381,i_0_305,i_0_309,i_0_293,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299,i_0_354,i_0_355,i_0_357,i_0_358,i_0_359,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_402,i_0_403,i_0_404,i_0_405,i_0_665,i_0_666,i_0_676,i_0_677,i_0_392,i_0_418,i_0_310,i_0_300,i_0_329,i_0_330,i_0_331]) ).

cnf(i_0_1772,plain,
    ssItem(esk26_1(esk50_0)),
    inference(scs_inference,[],[i_0_1595,i_0_1587,i_0_1590,i_0_1702,i_0_1667,i_0_1544,i_0_1521,i_0_1540,i_0_1572,i_0_1570,i_0_1623,i_0_381,i_0_305,i_0_309,i_0_293,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299,i_0_354,i_0_355,i_0_357,i_0_358,i_0_359,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_402,i_0_403,i_0_404,i_0_405,i_0_665,i_0_666,i_0_676,i_0_677,i_0_392,i_0_418,i_0_310,i_0_300,i_0_329,i_0_330,i_0_331,i_0_332]) ).

cnf(i_0_1774,plain,
    ssItem(esk25_1(esk50_0)),
    inference(scs_inference,[],[i_0_1595,i_0_1587,i_0_1590,i_0_1702,i_0_1667,i_0_1544,i_0_1521,i_0_1540,i_0_1572,i_0_1570,i_0_1623,i_0_381,i_0_305,i_0_309,i_0_293,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299,i_0_354,i_0_355,i_0_357,i_0_358,i_0_359,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_402,i_0_403,i_0_404,i_0_405,i_0_665,i_0_666,i_0_676,i_0_677,i_0_392,i_0_418,i_0_310,i_0_300,i_0_329,i_0_330,i_0_331,i_0_332,i_0_333]) ).

cnf(i_0_1776,plain,
    cons(esk26_1(esk48_0),app(nil,nil)) != app(nil,nil),
    inference(scs_inference,[],[i_0_1595,i_0_1587,i_0_1590,i_0_1702,i_0_1667,i_0_1544,i_0_1521,i_0_1540,i_0_1572,i_0_1570,i_0_1623,i_0_381,i_0_305,i_0_309,i_0_293,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299,i_0_354,i_0_355,i_0_357,i_0_358,i_0_359,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_402,i_0_403,i_0_404,i_0_405,i_0_665,i_0_666,i_0_676,i_0_677,i_0_392,i_0_418,i_0_310,i_0_300,i_0_329,i_0_330,i_0_331,i_0_332,i_0_333,i_0_289]) ).

cnf(i_0_1778,plain,
    ~ segmentP(nil,cons(esk1_0,nil)),
    inference(scs_inference,[],[i_0_1595,i_0_1587,i_0_1590,i_0_1702,i_0_1667,i_0_1544,i_0_1521,i_0_1568,i_0_1540,i_0_1572,i_0_1570,i_0_1623,i_0_381,i_0_305,i_0_309,i_0_293,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299,i_0_354,i_0_355,i_0_357,i_0_358,i_0_359,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_402,i_0_403,i_0_404,i_0_405,i_0_665,i_0_666,i_0_676,i_0_677,i_0_392,i_0_418,i_0_310,i_0_300,i_0_329,i_0_330,i_0_331,i_0_332,i_0_333,i_0_289,i_0_306]) ).

cnf(i_0_1780,plain,
    ~ rearsegP(nil,cons(esk1_0,nil)),
    inference(scs_inference,[],[i_0_1595,i_0_1587,i_0_1590,i_0_1702,i_0_1667,i_0_1544,i_0_1521,i_0_1568,i_0_1540,i_0_1572,i_0_1570,i_0_1623,i_0_381,i_0_305,i_0_309,i_0_293,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299,i_0_354,i_0_355,i_0_357,i_0_358,i_0_359,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_402,i_0_403,i_0_404,i_0_405,i_0_665,i_0_666,i_0_676,i_0_677,i_0_392,i_0_418,i_0_310,i_0_300,i_0_329,i_0_330,i_0_331,i_0_332,i_0_333,i_0_289,i_0_306,i_0_307]) ).

cnf(i_0_1782,plain,
    ~ frontsegP(nil,cons(esk1_0,nil)),
    inference(scs_inference,[],[i_0_1595,i_0_1587,i_0_1590,i_0_1702,i_0_1667,i_0_1544,i_0_1521,i_0_1568,i_0_1540,i_0_1572,i_0_1570,i_0_1623,i_0_381,i_0_305,i_0_309,i_0_293,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299,i_0_354,i_0_355,i_0_357,i_0_358,i_0_359,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_402,i_0_403,i_0_404,i_0_405,i_0_665,i_0_666,i_0_676,i_0_677,i_0_392,i_0_418,i_0_310,i_0_300,i_0_329,i_0_330,i_0_331,i_0_332,i_0_333,i_0_289,i_0_306,i_0_307,i_0_308]) ).

cnf(i_0_1784,plain,
    ssList(esk47_1(cons(esk1_0,nil))),
    inference(scs_inference,[],[i_0_1595,i_0_1587,i_0_1590,i_0_1702,i_0_1667,i_0_1544,i_0_1521,i_0_1568,i_0_1540,i_0_1572,i_0_1570,i_0_1623,i_0_381,i_0_305,i_0_309,i_0_293,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299,i_0_354,i_0_355,i_0_357,i_0_358,i_0_359,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_402,i_0_403,i_0_404,i_0_405,i_0_665,i_0_666,i_0_676,i_0_677,i_0_392,i_0_418,i_0_310,i_0_300,i_0_329,i_0_330,i_0_331,i_0_332,i_0_333,i_0_289,i_0_306,i_0_307,i_0_308,i_0_360]) ).

cnf(i_0_1786,plain,
    ssList(esk44_1(cons(esk1_0,nil))),
    inference(scs_inference,[],[i_0_1595,i_0_1587,i_0_1590,i_0_1702,i_0_1667,i_0_1544,i_0_1521,i_0_1568,i_0_1540,i_0_1572,i_0_1570,i_0_1623,i_0_381,i_0_305,i_0_309,i_0_293,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299,i_0_354,i_0_355,i_0_357,i_0_358,i_0_359,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_402,i_0_403,i_0_404,i_0_405,i_0_665,i_0_666,i_0_676,i_0_677,i_0_392,i_0_418,i_0_310,i_0_300,i_0_329,i_0_330,i_0_331,i_0_332,i_0_333,i_0_289,i_0_306,i_0_307,i_0_308,i_0_360,i_0_361]) ).

cnf(i_0_1788,plain,
    ssList(tl(cons(esk1_0,nil))),
    inference(scs_inference,[],[i_0_1595,i_0_1587,i_0_1590,i_0_1702,i_0_1667,i_0_1544,i_0_1521,i_0_1568,i_0_1540,i_0_1572,i_0_1570,i_0_1623,i_0_381,i_0_305,i_0_309,i_0_293,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299,i_0_354,i_0_355,i_0_357,i_0_358,i_0_359,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_402,i_0_403,i_0_404,i_0_405,i_0_665,i_0_666,i_0_676,i_0_677,i_0_392,i_0_418,i_0_310,i_0_300,i_0_329,i_0_330,i_0_331,i_0_332,i_0_333,i_0_289,i_0_306,i_0_307,i_0_308,i_0_360,i_0_361,i_0_362]) ).

cnf(i_0_1790,plain,
    ssItem(esk46_1(cons(esk1_0,nil))),
    inference(scs_inference,[],[i_0_1595,i_0_1587,i_0_1590,i_0_1702,i_0_1667,i_0_1544,i_0_1521,i_0_1568,i_0_1540,i_0_1572,i_0_1570,i_0_1623,i_0_381,i_0_305,i_0_309,i_0_293,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299,i_0_354,i_0_355,i_0_357,i_0_358,i_0_359,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_402,i_0_403,i_0_404,i_0_405,i_0_665,i_0_666,i_0_676,i_0_677,i_0_392,i_0_418,i_0_310,i_0_300,i_0_329,i_0_330,i_0_331,i_0_332,i_0_333,i_0_289,i_0_306,i_0_307,i_0_308,i_0_360,i_0_361,i_0_362,i_0_363]) ).

cnf(i_0_1792,plain,
    ssItem(esk45_1(cons(esk1_0,nil))),
    inference(scs_inference,[],[i_0_1595,i_0_1587,i_0_1590,i_0_1702,i_0_1667,i_0_1544,i_0_1521,i_0_1568,i_0_1540,i_0_1572,i_0_1570,i_0_1623,i_0_381,i_0_305,i_0_309,i_0_293,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299,i_0_354,i_0_355,i_0_357,i_0_358,i_0_359,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_402,i_0_403,i_0_404,i_0_405,i_0_665,i_0_666,i_0_676,i_0_677,i_0_392,i_0_418,i_0_310,i_0_300,i_0_329,i_0_330,i_0_331,i_0_332,i_0_333,i_0_289,i_0_306,i_0_307,i_0_308,i_0_360,i_0_361,i_0_362,i_0_363,i_0_364]) ).

cnf(i_0_1794,plain,
    ssItem(hd(cons(esk1_0,nil))),
    inference(scs_inference,[],[i_0_1595,i_0_1587,i_0_1590,i_0_1702,i_0_1667,i_0_1544,i_0_1521,i_0_1568,i_0_1540,i_0_1572,i_0_1570,i_0_1623,i_0_381,i_0_305,i_0_309,i_0_293,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299,i_0_354,i_0_355,i_0_357,i_0_358,i_0_359,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_402,i_0_403,i_0_404,i_0_405,i_0_665,i_0_666,i_0_676,i_0_677,i_0_392,i_0_418,i_0_310,i_0_300,i_0_329,i_0_330,i_0_331,i_0_332,i_0_333,i_0_289,i_0_306,i_0_307,i_0_308,i_0_360,i_0_361,i_0_362,i_0_363,i_0_364,i_0_365]) ).

cnf(i_0_1796,plain,
    ~ leq(esk25_1(esk50_0),esk26_1(esk50_0)),
    inference(scs_inference,[],[i_0_1595,i_0_1587,i_0_1590,i_0_1702,i_0_1667,i_0_1544,i_0_1521,i_0_1568,i_0_1540,i_0_1572,i_0_1570,i_0_1623,i_0_381,i_0_305,i_0_309,i_0_293,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299,i_0_354,i_0_355,i_0_357,i_0_358,i_0_359,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_402,i_0_403,i_0_404,i_0_405,i_0_665,i_0_666,i_0_676,i_0_677,i_0_392,i_0_418,i_0_310,i_0_300,i_0_329,i_0_330,i_0_331,i_0_332,i_0_333,i_0_289,i_0_306,i_0_307,i_0_308,i_0_360,i_0_361,i_0_362,i_0_363,i_0_364,i_0_365,i_0_263]) ).

cnf(i_0_1798,plain,
    tl(cons(esk26_1(esk48_0),app(nil,nil))) = app(nil,nil),
    inference(scs_inference,[],[i_0_1595,i_0_1587,i_0_1590,i_0_1702,i_0_1667,i_0_1544,i_0_1521,i_0_1568,i_0_1540,i_0_1572,i_0_1570,i_0_1623,i_0_381,i_0_305,i_0_309,i_0_293,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299,i_0_354,i_0_355,i_0_357,i_0_358,i_0_359,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_402,i_0_403,i_0_404,i_0_405,i_0_665,i_0_666,i_0_676,i_0_677,i_0_392,i_0_418,i_0_310,i_0_300,i_0_329,i_0_330,i_0_331,i_0_332,i_0_333,i_0_289,i_0_306,i_0_307,i_0_308,i_0_360,i_0_361,i_0_362,i_0_363,i_0_364,i_0_365,i_0_263,i_0_277]) ).

cnf(i_0_1800,plain,
    hd(cons(esk26_1(esk48_0),app(nil,nil))) = esk26_1(esk48_0),
    inference(scs_inference,[],[i_0_1595,i_0_1587,i_0_1590,i_0_1702,i_0_1667,i_0_1544,i_0_1521,i_0_1568,i_0_1540,i_0_1572,i_0_1570,i_0_1623,i_0_381,i_0_305,i_0_309,i_0_293,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299,i_0_354,i_0_355,i_0_357,i_0_358,i_0_359,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_402,i_0_403,i_0_404,i_0_405,i_0_665,i_0_666,i_0_676,i_0_677,i_0_392,i_0_418,i_0_310,i_0_300,i_0_329,i_0_330,i_0_331,i_0_332,i_0_333,i_0_289,i_0_306,i_0_307,i_0_308,i_0_360,i_0_361,i_0_362,i_0_363,i_0_364,i_0_365,i_0_263,i_0_277,i_0_278]) ).

cnf(i_0_1802,plain,
    cons(esk45_1(cons(esk1_0,nil)),esk44_1(cons(esk1_0,nil))) = cons(esk1_0,nil),
    inference(scs_inference,[],[i_0_1595,i_0_1587,i_0_1590,i_0_1702,i_0_1667,i_0_1544,i_0_1521,i_0_1568,i_0_1540,i_0_1572,i_0_1570,i_0_1623,i_0_381,i_0_305,i_0_309,i_0_293,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299,i_0_354,i_0_355,i_0_357,i_0_358,i_0_359,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_402,i_0_403,i_0_404,i_0_405,i_0_665,i_0_666,i_0_676,i_0_677,i_0_392,i_0_418,i_0_310,i_0_300,i_0_329,i_0_330,i_0_331,i_0_332,i_0_333,i_0_289,i_0_306,i_0_307,i_0_308,i_0_360,i_0_361,i_0_362,i_0_363,i_0_364,i_0_365,i_0_263,i_0_277,i_0_278,i_0_291]) ).

cnf(i_0_1804,plain,
    cons(hd(cons(esk1_0,nil)),tl(cons(esk1_0,nil))) = cons(esk1_0,nil),
    inference(scs_inference,[],[i_0_1595,i_0_1587,i_0_1590,i_0_1702,i_0_1667,i_0_1544,i_0_1521,i_0_1568,i_0_1540,i_0_1572,i_0_1570,i_0_1623,i_0_381,i_0_305,i_0_309,i_0_293,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299,i_0_354,i_0_355,i_0_357,i_0_358,i_0_359,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_402,i_0_403,i_0_404,i_0_405,i_0_665,i_0_666,i_0_676,i_0_677,i_0_392,i_0_418,i_0_310,i_0_300,i_0_329,i_0_330,i_0_331,i_0_332,i_0_333,i_0_289,i_0_306,i_0_307,i_0_308,i_0_360,i_0_361,i_0_362,i_0_363,i_0_364,i_0_365,i_0_263,i_0_277,i_0_278,i_0_291,i_0_292]) ).

cnf(i_0_1806,plain,
    cons(esk26_1(esk48_0),app(nil,nil)) = app(cons(esk26_1(esk48_0),nil),app(nil,nil)),
    inference(scs_inference,[],[i_0_1595,i_0_1587,i_0_1590,i_0_1702,i_0_1667,i_0_1544,i_0_1521,i_0_1568,i_0_1540,i_0_1572,i_0_1570,i_0_1623,i_0_381,i_0_305,i_0_309,i_0_293,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299,i_0_354,i_0_355,i_0_357,i_0_358,i_0_359,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_402,i_0_403,i_0_404,i_0_405,i_0_665,i_0_666,i_0_676,i_0_677,i_0_392,i_0_418,i_0_310,i_0_300,i_0_329,i_0_330,i_0_331,i_0_332,i_0_333,i_0_289,i_0_306,i_0_307,i_0_308,i_0_360,i_0_361,i_0_362,i_0_363,i_0_364,i_0_365,i_0_263,i_0_277,i_0_278,i_0_291,i_0_292,i_0_250]) ).

cnf(i_0_1810,plain,
    ssList(cons(esk26_1(esk48_0),app(nil,nil))),
    inference(scs_inference,[],[i_0_1595,i_0_1587,i_0_1590,i_0_1702,i_0_1667,i_0_1544,i_0_1521,i_0_1568,i_0_1540,i_0_1572,i_0_1570,i_0_1623,i_0_381,i_0_305,i_0_309,i_0_293,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299,i_0_354,i_0_355,i_0_357,i_0_358,i_0_359,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_402,i_0_403,i_0_404,i_0_405,i_0_665,i_0_666,i_0_676,i_0_677,i_0_392,i_0_418,i_0_310,i_0_300,i_0_329,i_0_330,i_0_331,i_0_332,i_0_333,i_0_289,i_0_306,i_0_307,i_0_308,i_0_360,i_0_361,i_0_362,i_0_363,i_0_364,i_0_365,i_0_263,i_0_277,i_0_278,i_0_291,i_0_292,i_0_250,i_0_197,i_0_280]) ).

cnf(i_0_1812,plain,
    nil != cons(esk26_1(esk48_0),app(nil,nil)),
    inference(scs_inference,[],[i_0_1595,i_0_1587,i_0_1590,i_0_1702,i_0_1667,i_0_1544,i_0_1521,i_0_1568,i_0_1540,i_0_1572,i_0_1570,i_0_1623,i_0_381,i_0_305,i_0_309,i_0_293,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299,i_0_354,i_0_355,i_0_357,i_0_358,i_0_359,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_402,i_0_403,i_0_404,i_0_405,i_0_665,i_0_666,i_0_676,i_0_677,i_0_392,i_0_418,i_0_310,i_0_300,i_0_329,i_0_330,i_0_331,i_0_332,i_0_333,i_0_289,i_0_306,i_0_307,i_0_308,i_0_360,i_0_361,i_0_362,i_0_363,i_0_364,i_0_365,i_0_263,i_0_277,i_0_278,i_0_291,i_0_292,i_0_250,i_0_197,i_0_280,i_0_290]) ).

cnf(i_0_1814,plain,
    cons(esk1_0,esk53_0) != nil,
    inference(scs_inference,[],[i_0_1595,i_0_1499,i_0_1587,i_0_524,i_0_1590,i_0_1702,i_0_1667,i_0_1544,i_0_1521,i_0_1568,i_0_1540,i_0_1572,i_0_1570,i_0_1623,i_0_381,i_0_305,i_0_309,i_0_293,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299,i_0_354,i_0_355,i_0_357,i_0_358,i_0_359,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_402,i_0_403,i_0_404,i_0_405,i_0_665,i_0_666,i_0_676,i_0_677,i_0_392,i_0_418,i_0_310,i_0_300,i_0_329,i_0_330,i_0_331,i_0_332,i_0_333,i_0_289,i_0_306,i_0_307,i_0_308,i_0_360,i_0_361,i_0_362,i_0_363,i_0_364,i_0_365,i_0_263,i_0_277,i_0_278,i_0_291,i_0_292,i_0_250,i_0_197,i_0_280,i_0_290,i_0_411]) ).

cnf(i_0_1815,plain,
    ~ memberP(nil,hd(cons(esk1_0,nil))),
    inference(scs_inference,[],[i_0_1595,i_0_1499,i_0_1587,i_0_524,i_0_1590,i_0_1702,i_0_1667,i_0_1544,i_0_1521,i_0_1568,i_0_1540,i_0_1572,i_0_1570,i_0_1623,i_0_381,i_0_305,i_0_309,i_0_293,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299,i_0_354,i_0_355,i_0_357,i_0_358,i_0_359,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_402,i_0_403,i_0_404,i_0_405,i_0_665,i_0_666,i_0_676,i_0_677,i_0_392,i_0_418,i_0_310,i_0_300,i_0_329,i_0_330,i_0_331,i_0_332,i_0_333,i_0_289,i_0_306,i_0_307,i_0_308,i_0_360,i_0_361,i_0_362,i_0_363,i_0_364,i_0_365,i_0_263,i_0_277,i_0_278,i_0_291,i_0_292,i_0_250,i_0_197,i_0_280,i_0_290,i_0_411,i_0_412]) ).

cnf(i_0_1816,plain,
    singletonP(app(cons(esk1_0,nil),nil)),
    inference(scs_inference,[],[i_0_1595,i_0_1499,i_0_1587,i_0_524,i_0_1590,i_0_1702,i_0_1667,i_0_1544,i_0_1521,i_0_1568,i_0_1540,i_0_1578,i_0_1572,i_0_1570,i_0_1623,i_0_381,i_0_305,i_0_309,i_0_293,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299,i_0_354,i_0_355,i_0_357,i_0_358,i_0_359,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_402,i_0_403,i_0_404,i_0_405,i_0_665,i_0_666,i_0_676,i_0_677,i_0_392,i_0_418,i_0_310,i_0_300,i_0_329,i_0_330,i_0_331,i_0_332,i_0_333,i_0_289,i_0_306,i_0_307,i_0_308,i_0_360,i_0_361,i_0_362,i_0_363,i_0_364,i_0_365,i_0_263,i_0_277,i_0_278,i_0_291,i_0_292,i_0_250,i_0_197,i_0_280,i_0_290,i_0_411,i_0_412,i_0_423]) ).

cnf(i_0_1817,plain,
    segmentP(app(app(esk52_0,esk50_0),esk53_0),esk49_0),
    inference(scs_inference,[],[i_0_505,i_0_1595,i_0_1499,i_0_1587,i_0_524,i_0_1590,i_0_1702,i_0_1667,i_0_1544,i_0_1521,i_0_1568,i_0_1540,i_0_1578,i_0_1572,i_0_1570,i_0_1623,i_0_576,i_0_381,i_0_305,i_0_309,i_0_293,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299,i_0_354,i_0_355,i_0_357,i_0_358,i_0_359,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_402,i_0_403,i_0_404,i_0_405,i_0_665,i_0_666,i_0_676,i_0_677,i_0_392,i_0_418,i_0_310,i_0_300,i_0_329,i_0_330,i_0_331,i_0_332,i_0_333,i_0_289,i_0_306,i_0_307,i_0_308,i_0_360,i_0_361,i_0_362,i_0_363,i_0_364,i_0_365,i_0_263,i_0_277,i_0_278,i_0_291,i_0_292,i_0_250,i_0_197,i_0_280,i_0_290,i_0_411,i_0_412,i_0_423,i_0_409]) ).

cnf(i_0_1818,plain,
    segmentP(esk49_0,app(app(esk52_0,esk50_0),esk53_0)),
    inference(scs_inference,[],[i_0_505,i_0_1595,i_0_1499,i_0_1587,i_0_524,i_0_1590,i_0_1702,i_0_1667,i_0_1544,i_0_1521,i_0_1568,i_0_1540,i_0_1578,i_0_1572,i_0_1570,i_0_1623,i_0_576,i_0_381,i_0_305,i_0_309,i_0_293,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299,i_0_354,i_0_355,i_0_357,i_0_358,i_0_359,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_402,i_0_403,i_0_404,i_0_405,i_0_665,i_0_666,i_0_676,i_0_677,i_0_392,i_0_418,i_0_310,i_0_300,i_0_329,i_0_330,i_0_331,i_0_332,i_0_333,i_0_289,i_0_306,i_0_307,i_0_308,i_0_360,i_0_361,i_0_362,i_0_363,i_0_364,i_0_365,i_0_263,i_0_277,i_0_278,i_0_291,i_0_292,i_0_250,i_0_197,i_0_280,i_0_290,i_0_411,i_0_412,i_0_423,i_0_409,i_0_410]) ).

cnf(i_0_1819,plain,
    frontsegP(app(app(esk52_0,esk50_0),esk53_0),esk49_0),
    inference(scs_inference,[],[i_0_505,i_0_509,i_0_1595,i_0_1499,i_0_1587,i_0_524,i_0_1590,i_0_1702,i_0_1667,i_0_1544,i_0_1521,i_0_1568,i_0_1540,i_0_1578,i_0_1572,i_0_1570,i_0_1623,i_0_576,i_0_381,i_0_305,i_0_309,i_0_293,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299,i_0_354,i_0_355,i_0_357,i_0_358,i_0_359,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_402,i_0_403,i_0_404,i_0_405,i_0_665,i_0_666,i_0_676,i_0_677,i_0_392,i_0_418,i_0_310,i_0_300,i_0_329,i_0_330,i_0_331,i_0_332,i_0_333,i_0_289,i_0_306,i_0_307,i_0_308,i_0_360,i_0_361,i_0_362,i_0_363,i_0_364,i_0_365,i_0_263,i_0_277,i_0_278,i_0_291,i_0_292,i_0_250,i_0_197,i_0_280,i_0_290,i_0_411,i_0_412,i_0_423,i_0_409,i_0_410,i_0_413]) ).

cnf(i_0_1820,plain,
    frontsegP(esk49_0,app(app(esk52_0,esk50_0),esk53_0)),
    inference(scs_inference,[],[i_0_505,i_0_509,i_0_1595,i_0_1499,i_0_1587,i_0_524,i_0_1590,i_0_1702,i_0_1667,i_0_1544,i_0_1521,i_0_1568,i_0_1540,i_0_1578,i_0_1572,i_0_1570,i_0_1623,i_0_576,i_0_381,i_0_305,i_0_309,i_0_293,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299,i_0_354,i_0_355,i_0_357,i_0_358,i_0_359,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_402,i_0_403,i_0_404,i_0_405,i_0_665,i_0_666,i_0_676,i_0_677,i_0_392,i_0_418,i_0_310,i_0_300,i_0_329,i_0_330,i_0_331,i_0_332,i_0_333,i_0_289,i_0_306,i_0_307,i_0_308,i_0_360,i_0_361,i_0_362,i_0_363,i_0_364,i_0_365,i_0_263,i_0_277,i_0_278,i_0_291,i_0_292,i_0_250,i_0_197,i_0_280,i_0_290,i_0_411,i_0_412,i_0_423,i_0_409,i_0_410,i_0_413,i_0_414]) ).

cnf(i_0_1821,plain,
    rearsegP(app(app(esk52_0,esk50_0),esk53_0),esk49_0),
    inference(scs_inference,[],[i_0_505,i_0_507,i_0_509,i_0_1595,i_0_1499,i_0_1587,i_0_524,i_0_1590,i_0_1702,i_0_1667,i_0_1544,i_0_1521,i_0_1568,i_0_1540,i_0_1578,i_0_1572,i_0_1570,i_0_1623,i_0_576,i_0_381,i_0_305,i_0_309,i_0_293,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299,i_0_354,i_0_355,i_0_357,i_0_358,i_0_359,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_402,i_0_403,i_0_404,i_0_405,i_0_665,i_0_666,i_0_676,i_0_677,i_0_392,i_0_418,i_0_310,i_0_300,i_0_329,i_0_330,i_0_331,i_0_332,i_0_333,i_0_289,i_0_306,i_0_307,i_0_308,i_0_360,i_0_361,i_0_362,i_0_363,i_0_364,i_0_365,i_0_263,i_0_277,i_0_278,i_0_291,i_0_292,i_0_250,i_0_197,i_0_280,i_0_290,i_0_411,i_0_412,i_0_423,i_0_409,i_0_410,i_0_413,i_0_414,i_0_415]) ).

cnf(i_0_1822,plain,
    rearsegP(esk49_0,app(app(esk52_0,esk50_0),esk53_0)),
    inference(scs_inference,[],[i_0_505,i_0_507,i_0_509,i_0_1595,i_0_1499,i_0_1587,i_0_524,i_0_1590,i_0_1702,i_0_1667,i_0_1544,i_0_1521,i_0_1568,i_0_1540,i_0_1578,i_0_1572,i_0_1570,i_0_1623,i_0_576,i_0_381,i_0_305,i_0_309,i_0_293,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299,i_0_354,i_0_355,i_0_357,i_0_358,i_0_359,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_402,i_0_403,i_0_404,i_0_405,i_0_665,i_0_666,i_0_676,i_0_677,i_0_392,i_0_418,i_0_310,i_0_300,i_0_329,i_0_330,i_0_331,i_0_332,i_0_333,i_0_289,i_0_306,i_0_307,i_0_308,i_0_360,i_0_361,i_0_362,i_0_363,i_0_364,i_0_365,i_0_263,i_0_277,i_0_278,i_0_291,i_0_292,i_0_250,i_0_197,i_0_280,i_0_290,i_0_411,i_0_412,i_0_423,i_0_409,i_0_410,i_0_413,i_0_414,i_0_415,i_0_416]) ).

cnf(i_0_1823,plain,
    ~ totalorderedP(app(esk48_0,nil)),
    inference(scs_inference,[],[i_0_505,i_0_507,i_0_509,i_0_1595,i_0_1499,i_0_1587,i_0_524,i_0_1590,i_0_1702,i_0_1667,i_0_1544,i_0_1521,i_0_1568,i_0_1540,i_0_1523,i_0_1578,i_0_1572,i_0_1570,i_0_1623,i_0_576,i_0_368,i_0_381,i_0_305,i_0_309,i_0_293,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299,i_0_354,i_0_355,i_0_357,i_0_358,i_0_359,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_402,i_0_403,i_0_404,i_0_405,i_0_665,i_0_666,i_0_676,i_0_677,i_0_392,i_0_418,i_0_310,i_0_300,i_0_329,i_0_330,i_0_331,i_0_332,i_0_333,i_0_289,i_0_306,i_0_307,i_0_308,i_0_360,i_0_361,i_0_362,i_0_363,i_0_364,i_0_365,i_0_263,i_0_277,i_0_278,i_0_291,i_0_292,i_0_250,i_0_197,i_0_280,i_0_290,i_0_411,i_0_412,i_0_423,i_0_409,i_0_410,i_0_413,i_0_414,i_0_415,i_0_416,i_0_433]) ).

cnf(i_0_1824,plain,
    ssList(app(app(nil,nil),app(nil,nil))),
    inference(scs_inference,[],[i_0_505,i_0_507,i_0_509,i_0_1595,i_0_1499,i_0_1587,i_0_524,i_0_1590,i_0_1702,i_0_1667,i_0_1544,i_0_1521,i_0_1568,i_0_1540,i_0_1523,i_0_1578,i_0_1572,i_0_1570,i_0_1623,i_0_576,i_0_368,i_0_381,i_0_305,i_0_309,i_0_293,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299,i_0_354,i_0_355,i_0_357,i_0_358,i_0_359,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_402,i_0_403,i_0_404,i_0_405,i_0_665,i_0_666,i_0_676,i_0_677,i_0_392,i_0_418,i_0_310,i_0_300,i_0_329,i_0_330,i_0_331,i_0_332,i_0_333,i_0_289,i_0_306,i_0_307,i_0_308,i_0_360,i_0_361,i_0_362,i_0_363,i_0_364,i_0_365,i_0_263,i_0_277,i_0_278,i_0_291,i_0_292,i_0_250,i_0_197,i_0_280,i_0_290,i_0_411,i_0_412,i_0_423,i_0_409,i_0_410,i_0_413,i_0_414,i_0_415,i_0_416,i_0_433,i_0_279]) ).

cnf(i_0_1826,plain,
    hd(app(esk48_0,nil)) = esk46_1(esk48_0),
    inference(scs_inference,[],[i_0_505,i_0_507,i_0_509,i_0_1595,i_0_1499,i_0_1587,i_0_524,i_0_1590,i_0_1702,i_0_1667,i_0_1544,i_0_1521,i_0_1568,i_0_1540,i_0_1523,i_0_1613,i_0_1578,i_0_1572,i_0_1570,i_0_1623,i_0_576,i_0_478,i_0_368,i_0_381,i_0_305,i_0_309,i_0_293,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299,i_0_354,i_0_355,i_0_357,i_0_358,i_0_359,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_402,i_0_403,i_0_404,i_0_405,i_0_665,i_0_666,i_0_676,i_0_677,i_0_392,i_0_418,i_0_310,i_0_300,i_0_329,i_0_330,i_0_331,i_0_332,i_0_333,i_0_289,i_0_306,i_0_307,i_0_308,i_0_360,i_0_361,i_0_362,i_0_363,i_0_364,i_0_365,i_0_263,i_0_277,i_0_278,i_0_291,i_0_292,i_0_250,i_0_197,i_0_280,i_0_290,i_0_411,i_0_412,i_0_423,i_0_409,i_0_410,i_0_413,i_0_414,i_0_415,i_0_416,i_0_433,i_0_279,i_0_393]) ).

cnf(i_0_1827,plain,
    neq(nil,esk50_0),
    inference(scs_inference,[],[i_0_505,i_0_507,i_0_509,i_0_1595,i_0_1499,i_0_1587,i_0_1688,i_0_524,i_0_1590,i_0_1702,i_0_1667,i_0_1544,i_0_1521,i_0_1568,i_0_1540,i_0_1523,i_0_1613,i_0_1578,i_0_1572,i_0_1570,i_0_1623,i_0_576,i_0_478,i_0_368,i_0_381,i_0_390,i_0_305,i_0_309,i_0_293,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299,i_0_354,i_0_355,i_0_357,i_0_358,i_0_359,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_402,i_0_403,i_0_404,i_0_405,i_0_665,i_0_666,i_0_676,i_0_677,i_0_392,i_0_418,i_0_310,i_0_300,i_0_329,i_0_330,i_0_331,i_0_332,i_0_333,i_0_289,i_0_306,i_0_307,i_0_308,i_0_360,i_0_361,i_0_362,i_0_363,i_0_364,i_0_365,i_0_263,i_0_277,i_0_278,i_0_291,i_0_292,i_0_250,i_0_197,i_0_280,i_0_290,i_0_411,i_0_412,i_0_423,i_0_409,i_0_410,i_0_413,i_0_414,i_0_415,i_0_416,i_0_433,i_0_279,i_0_393,i_0_422]) ).

cnf(i_0_1828,plain,
    cons(esk1_0,nil) != cons(esk1_0,cons(esk1_0,nil)),
    inference(scs_inference,[],[i_0_505,i_0_507,i_0_509,i_0_1595,i_0_1499,i_0_1587,i_0_1688,i_0_524,i_0_1590,i_0_1702,i_0_1667,i_0_1544,i_0_1511,i_0_1521,i_0_1568,i_0_1540,i_0_1523,i_0_1613,i_0_1641,i_0_1578,i_0_1572,i_0_1570,i_0_1623,i_0_576,i_0_478,i_0_368,i_0_381,i_0_390,i_0_305,i_0_309,i_0_293,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299,i_0_354,i_0_355,i_0_357,i_0_358,i_0_359,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_402,i_0_403,i_0_404,i_0_405,i_0_665,i_0_666,i_0_676,i_0_677,i_0_392,i_0_418,i_0_310,i_0_300,i_0_329,i_0_330,i_0_331,i_0_332,i_0_333,i_0_289,i_0_306,i_0_307,i_0_308,i_0_360,i_0_361,i_0_362,i_0_363,i_0_364,i_0_365,i_0_263,i_0_277,i_0_278,i_0_291,i_0_292,i_0_250,i_0_197,i_0_280,i_0_290,i_0_411,i_0_412,i_0_423,i_0_409,i_0_410,i_0_413,i_0_414,i_0_415,i_0_416,i_0_433,i_0_279,i_0_393,i_0_422,i_0_432]) ).

cnf(i_0_1829,plain,
    ~ gt(esk26_1(esk48_0),esk25_1(esk48_0)),
    inference(scs_inference,[],[i_0_505,i_0_507,i_0_509,i_0_1595,i_0_1499,i_0_1587,i_0_1688,i_0_524,i_0_1590,i_0_1702,i_0_1667,i_0_1544,i_0_1511,i_0_1521,i_0_1568,i_0_1540,i_0_1542,i_0_1684,i_0_1523,i_0_1613,i_0_1641,i_0_1578,i_0_1572,i_0_1570,i_0_1623,i_0_576,i_0_478,i_0_368,i_0_381,i_0_390,i_0_305,i_0_309,i_0_293,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299,i_0_354,i_0_355,i_0_357,i_0_358,i_0_359,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_402,i_0_403,i_0_404,i_0_405,i_0_665,i_0_666,i_0_676,i_0_677,i_0_392,i_0_418,i_0_310,i_0_300,i_0_329,i_0_330,i_0_331,i_0_332,i_0_333,i_0_289,i_0_306,i_0_307,i_0_308,i_0_360,i_0_361,i_0_362,i_0_363,i_0_364,i_0_365,i_0_263,i_0_277,i_0_278,i_0_291,i_0_292,i_0_250,i_0_197,i_0_280,i_0_290,i_0_411,i_0_412,i_0_423,i_0_409,i_0_410,i_0_413,i_0_414,i_0_415,i_0_416,i_0_433,i_0_279,i_0_393,i_0_422,i_0_432,i_0_270]) ).

cnf(i_0_1831,plain,
    ~ lt(esk25_1(esk50_0),esk26_1(esk50_0)),
    inference(scs_inference,[],[i_0_505,i_0_507,i_0_509,i_0_1595,i_0_1499,i_0_1587,i_0_1688,i_0_524,i_0_1590,i_0_1702,i_0_1667,i_0_1544,i_0_1511,i_0_1521,i_0_1568,i_0_1540,i_0_1542,i_0_1684,i_0_1523,i_0_1613,i_0_1641,i_0_1578,i_0_1572,i_0_1570,i_0_1623,i_0_576,i_0_478,i_0_368,i_0_381,i_0_390,i_0_305,i_0_309,i_0_293,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299,i_0_354,i_0_355,i_0_357,i_0_358,i_0_359,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_402,i_0_403,i_0_404,i_0_405,i_0_665,i_0_666,i_0_676,i_0_677,i_0_392,i_0_418,i_0_310,i_0_300,i_0_329,i_0_330,i_0_331,i_0_332,i_0_333,i_0_289,i_0_306,i_0_307,i_0_308,i_0_360,i_0_361,i_0_362,i_0_363,i_0_364,i_0_365,i_0_263,i_0_277,i_0_278,i_0_291,i_0_292,i_0_250,i_0_197,i_0_280,i_0_290,i_0_411,i_0_412,i_0_423,i_0_409,i_0_410,i_0_413,i_0_414,i_0_415,i_0_416,i_0_433,i_0_279,i_0_393,i_0_422,i_0_432,i_0_270,i_0_271]) ).

cnf(i_0_1833,plain,
    ~ lt(hd(cons(esk1_0,nil)),esk46_1(cons(esk1_0,nil))),
    inference(scs_inference,[],[i_0_505,i_0_507,i_0_509,i_0_1595,i_0_1499,i_0_1587,i_0_1688,i_0_524,i_0_1590,i_0_1702,i_0_1667,i_0_1544,i_0_1511,i_0_1521,i_0_1568,i_0_1540,i_0_1542,i_0_1684,i_0_1523,i_0_1613,i_0_1641,i_0_1578,i_0_1572,i_0_1570,i_0_1623,i_0_1671,i_0_576,i_0_478,i_0_368,i_0_381,i_0_390,i_0_305,i_0_309,i_0_293,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299,i_0_354,i_0_355,i_0_357,i_0_358,i_0_359,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_402,i_0_403,i_0_404,i_0_405,i_0_665,i_0_666,i_0_676,i_0_677,i_0_392,i_0_418,i_0_310,i_0_300,i_0_329,i_0_330,i_0_331,i_0_332,i_0_333,i_0_289,i_0_306,i_0_307,i_0_308,i_0_360,i_0_361,i_0_362,i_0_363,i_0_364,i_0_365,i_0_263,i_0_277,i_0_278,i_0_291,i_0_292,i_0_250,i_0_197,i_0_280,i_0_290,i_0_411,i_0_412,i_0_423,i_0_409,i_0_410,i_0_413,i_0_414,i_0_415,i_0_416,i_0_433,i_0_279,i_0_393,i_0_422,i_0_432,i_0_270,i_0_271,i_0_282]) ).

cnf(i_0_1835,plain,
    ssList(esk9_2(esk50_0,esk50_0)),
    inference(scs_inference,[],[i_0_505,i_0_507,i_0_509,i_0_570,i_0_1595,i_0_1499,i_0_1587,i_0_1688,i_0_524,i_0_1590,i_0_1702,i_0_1667,i_0_1544,i_0_1511,i_0_1521,i_0_1568,i_0_1540,i_0_1542,i_0_1684,i_0_1523,i_0_1613,i_0_1641,i_0_1578,i_0_1572,i_0_1570,i_0_1623,i_0_1671,i_0_576,i_0_478,i_0_368,i_0_381,i_0_390,i_0_305,i_0_309,i_0_293,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299,i_0_354,i_0_355,i_0_357,i_0_358,i_0_359,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_402,i_0_403,i_0_404,i_0_405,i_0_665,i_0_666,i_0_676,i_0_677,i_0_392,i_0_418,i_0_310,i_0_300,i_0_329,i_0_330,i_0_331,i_0_332,i_0_333,i_0_289,i_0_306,i_0_307,i_0_308,i_0_360,i_0_361,i_0_362,i_0_363,i_0_364,i_0_365,i_0_263,i_0_277,i_0_278,i_0_291,i_0_292,i_0_250,i_0_197,i_0_280,i_0_290,i_0_411,i_0_412,i_0_423,i_0_409,i_0_410,i_0_413,i_0_414,i_0_415,i_0_416,i_0_433,i_0_279,i_0_393,i_0_422,i_0_432,i_0_270,i_0_271,i_0_282,i_0_242]) ).

cnf(i_0_1837,plain,
    ssList(esk8_2(esk50_0,esk50_0)),
    inference(scs_inference,[],[i_0_505,i_0_507,i_0_509,i_0_570,i_0_1595,i_0_1499,i_0_1587,i_0_1688,i_0_524,i_0_1590,i_0_1702,i_0_1667,i_0_1544,i_0_1511,i_0_1521,i_0_1568,i_0_1540,i_0_1542,i_0_1684,i_0_1523,i_0_1613,i_0_1641,i_0_1578,i_0_1572,i_0_1570,i_0_1623,i_0_1671,i_0_576,i_0_478,i_0_368,i_0_381,i_0_390,i_0_305,i_0_309,i_0_293,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299,i_0_354,i_0_355,i_0_357,i_0_358,i_0_359,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_402,i_0_403,i_0_404,i_0_405,i_0_665,i_0_666,i_0_676,i_0_677,i_0_392,i_0_418,i_0_310,i_0_300,i_0_329,i_0_330,i_0_331,i_0_332,i_0_333,i_0_289,i_0_306,i_0_307,i_0_308,i_0_360,i_0_361,i_0_362,i_0_363,i_0_364,i_0_365,i_0_263,i_0_277,i_0_278,i_0_291,i_0_292,i_0_250,i_0_197,i_0_280,i_0_290,i_0_411,i_0_412,i_0_423,i_0_409,i_0_410,i_0_413,i_0_414,i_0_415,i_0_416,i_0_433,i_0_279,i_0_393,i_0_422,i_0_432,i_0_270,i_0_271,i_0_282,i_0_242,i_0_243]) ).

cnf(i_0_1839,plain,
    ssList(esk7_2(esk50_0,esk50_0)),
    inference(scs_inference,[],[i_0_505,i_0_507,i_0_509,i_0_570,i_0_572,i_0_1595,i_0_1499,i_0_1587,i_0_1688,i_0_524,i_0_1590,i_0_1702,i_0_1667,i_0_1544,i_0_1511,i_0_1521,i_0_1568,i_0_1540,i_0_1542,i_0_1684,i_0_1523,i_0_1613,i_0_1641,i_0_1578,i_0_1572,i_0_1570,i_0_1623,i_0_1671,i_0_576,i_0_478,i_0_368,i_0_381,i_0_390,i_0_305,i_0_309,i_0_293,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299,i_0_354,i_0_355,i_0_357,i_0_358,i_0_359,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_402,i_0_403,i_0_404,i_0_405,i_0_665,i_0_666,i_0_676,i_0_677,i_0_392,i_0_418,i_0_310,i_0_300,i_0_329,i_0_330,i_0_331,i_0_332,i_0_333,i_0_289,i_0_306,i_0_307,i_0_308,i_0_360,i_0_361,i_0_362,i_0_363,i_0_364,i_0_365,i_0_263,i_0_277,i_0_278,i_0_291,i_0_292,i_0_250,i_0_197,i_0_280,i_0_290,i_0_411,i_0_412,i_0_423,i_0_409,i_0_410,i_0_413,i_0_414,i_0_415,i_0_416,i_0_433,i_0_279,i_0_393,i_0_422,i_0_432,i_0_270,i_0_271,i_0_282,i_0_242,i_0_243,i_0_244]) ).

cnf(i_0_1841,plain,
    ssList(esk6_2(cons(esk1_0,nil),cons(esk1_0,nil))),
    inference(scs_inference,[],[i_0_505,i_0_507,i_0_509,i_0_570,i_0_572,i_0_1595,i_0_1499,i_0_1587,i_0_1688,i_0_524,i_0_1590,i_0_1702,i_0_1667,i_0_1649,i_0_1544,i_0_1511,i_0_1521,i_0_1568,i_0_1540,i_0_1542,i_0_1684,i_0_1523,i_0_1613,i_0_1641,i_0_1578,i_0_1572,i_0_1570,i_0_1623,i_0_1671,i_0_576,i_0_478,i_0_368,i_0_381,i_0_390,i_0_305,i_0_309,i_0_293,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299,i_0_354,i_0_355,i_0_357,i_0_358,i_0_359,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_402,i_0_403,i_0_404,i_0_405,i_0_665,i_0_666,i_0_676,i_0_677,i_0_392,i_0_418,i_0_310,i_0_300,i_0_329,i_0_330,i_0_331,i_0_332,i_0_333,i_0_289,i_0_306,i_0_307,i_0_308,i_0_360,i_0_361,i_0_362,i_0_363,i_0_364,i_0_365,i_0_263,i_0_277,i_0_278,i_0_291,i_0_292,i_0_250,i_0_197,i_0_280,i_0_290,i_0_411,i_0_412,i_0_423,i_0_409,i_0_410,i_0_413,i_0_414,i_0_415,i_0_416,i_0_433,i_0_279,i_0_393,i_0_422,i_0_432,i_0_270,i_0_271,i_0_282,i_0_242,i_0_243,i_0_244,i_0_245]) ).

cnf(i_0_1843,plain,
    nil != app(cons(esk1_0,nil),cons(esk1_0,nil)),
    inference(scs_inference,[],[i_0_505,i_0_507,i_0_509,i_0_570,i_0_572,i_0_1595,i_0_1499,i_0_1587,i_0_1688,i_0_524,i_0_1590,i_0_1702,i_0_1667,i_0_1649,i_0_1544,i_0_1511,i_0_1521,i_0_1568,i_0_1540,i_0_1542,i_0_1684,i_0_1523,i_0_1613,i_0_1641,i_0_1578,i_0_1572,i_0_1570,i_0_1623,i_0_1671,i_0_576,i_0_478,i_0_368,i_0_381,i_0_390,i_0_305,i_0_309,i_0_293,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299,i_0_354,i_0_355,i_0_357,i_0_358,i_0_359,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_402,i_0_403,i_0_404,i_0_405,i_0_665,i_0_666,i_0_676,i_0_677,i_0_392,i_0_418,i_0_310,i_0_300,i_0_329,i_0_330,i_0_331,i_0_332,i_0_333,i_0_289,i_0_306,i_0_307,i_0_308,i_0_360,i_0_361,i_0_362,i_0_363,i_0_364,i_0_365,i_0_263,i_0_277,i_0_278,i_0_291,i_0_292,i_0_250,i_0_197,i_0_280,i_0_290,i_0_411,i_0_412,i_0_423,i_0_409,i_0_410,i_0_413,i_0_414,i_0_415,i_0_416,i_0_433,i_0_279,i_0_393,i_0_422,i_0_432,i_0_270,i_0_271,i_0_282,i_0_242,i_0_243,i_0_244,i_0_245,i_0_285]) ).

cnf(i_0_1845,plain,
    nil != app(esk50_0,esk50_0),
    inference(scs_inference,[],[i_0_505,i_0_507,i_0_509,i_0_570,i_0_572,i_0_1595,i_0_1499,i_0_1587,i_0_1688,i_0_524,i_0_1590,i_0_1702,i_0_1667,i_0_1649,i_0_1544,i_0_1511,i_0_1521,i_0_1568,i_0_1540,i_0_1542,i_0_1684,i_0_1523,i_0_1613,i_0_1641,i_0_1578,i_0_1572,i_0_1570,i_0_1623,i_0_1671,i_0_576,i_0_520,i_0_478,i_0_368,i_0_381,i_0_390,i_0_305,i_0_309,i_0_293,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299,i_0_354,i_0_355,i_0_357,i_0_358,i_0_359,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_402,i_0_403,i_0_404,i_0_405,i_0_665,i_0_666,i_0_676,i_0_677,i_0_392,i_0_418,i_0_310,i_0_300,i_0_329,i_0_330,i_0_331,i_0_332,i_0_333,i_0_289,i_0_306,i_0_307,i_0_308,i_0_360,i_0_361,i_0_362,i_0_363,i_0_364,i_0_365,i_0_263,i_0_277,i_0_278,i_0_291,i_0_292,i_0_250,i_0_197,i_0_280,i_0_290,i_0_411,i_0_412,i_0_423,i_0_409,i_0_410,i_0_413,i_0_414,i_0_415,i_0_416,i_0_433,i_0_279,i_0_393,i_0_422,i_0_432,i_0_270,i_0_271,i_0_282,i_0_242,i_0_243,i_0_244,i_0_245,i_0_285,i_0_286]) ).

cnf(i_0_1847,plain,
    app(cons(esk1_0,nil),esk6_2(cons(esk1_0,nil),cons(esk1_0,nil))) = cons(esk1_0,nil),
    inference(scs_inference,[],[i_0_505,i_0_507,i_0_509,i_0_570,i_0_572,i_0_1595,i_0_1499,i_0_1587,i_0_1688,i_0_524,i_0_1590,i_0_1702,i_0_1667,i_0_1649,i_0_1544,i_0_1511,i_0_1521,i_0_1568,i_0_1540,i_0_1542,i_0_1684,i_0_1523,i_0_1613,i_0_1641,i_0_1578,i_0_1572,i_0_1570,i_0_1623,i_0_1671,i_0_576,i_0_520,i_0_478,i_0_368,i_0_381,i_0_390,i_0_305,i_0_309,i_0_293,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299,i_0_354,i_0_355,i_0_357,i_0_358,i_0_359,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_402,i_0_403,i_0_404,i_0_405,i_0_665,i_0_666,i_0_676,i_0_677,i_0_392,i_0_418,i_0_310,i_0_300,i_0_329,i_0_330,i_0_331,i_0_332,i_0_333,i_0_289,i_0_306,i_0_307,i_0_308,i_0_360,i_0_361,i_0_362,i_0_363,i_0_364,i_0_365,i_0_263,i_0_277,i_0_278,i_0_291,i_0_292,i_0_250,i_0_197,i_0_280,i_0_290,i_0_411,i_0_412,i_0_423,i_0_409,i_0_410,i_0_413,i_0_414,i_0_415,i_0_416,i_0_433,i_0_279,i_0_393,i_0_422,i_0_432,i_0_270,i_0_271,i_0_282,i_0_242,i_0_243,i_0_244,i_0_245,i_0_285,i_0_286,i_0_235]) ).

cnf(i_0_1849,plain,
    hd(app(cons(esk1_0,nil),cons(esk1_0,nil))) = hd(cons(esk1_0,nil)),
    inference(scs_inference,[],[i_0_505,i_0_507,i_0_509,i_0_570,i_0_572,i_0_1595,i_0_1499,i_0_1587,i_0_1688,i_0_524,i_0_1590,i_0_1702,i_0_1667,i_0_1649,i_0_1544,i_0_1511,i_0_1521,i_0_1568,i_0_1540,i_0_1542,i_0_1684,i_0_1523,i_0_1613,i_0_1641,i_0_1578,i_0_1572,i_0_1570,i_0_1623,i_0_1671,i_0_576,i_0_520,i_0_478,i_0_368,i_0_381,i_0_390,i_0_305,i_0_309,i_0_293,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299,i_0_354,i_0_355,i_0_357,i_0_358,i_0_359,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_402,i_0_403,i_0_404,i_0_405,i_0_665,i_0_666,i_0_676,i_0_677,i_0_392,i_0_418,i_0_310,i_0_300,i_0_329,i_0_330,i_0_331,i_0_332,i_0_333,i_0_289,i_0_306,i_0_307,i_0_308,i_0_360,i_0_361,i_0_362,i_0_363,i_0_364,i_0_365,i_0_263,i_0_277,i_0_278,i_0_291,i_0_292,i_0_250,i_0_197,i_0_280,i_0_290,i_0_411,i_0_412,i_0_423,i_0_409,i_0_410,i_0_413,i_0_414,i_0_415,i_0_416,i_0_433,i_0_279,i_0_393,i_0_422,i_0_432,i_0_270,i_0_271,i_0_282,i_0_242,i_0_243,i_0_244,i_0_245,i_0_285,i_0_286,i_0_235,i_0_273]) ).

cnf(i_0_1851,plain,
    app(app(app(nil,nil),app(nil,nil)),app(nil,nil)) = app(app(nil,nil),app(app(nil,nil),app(nil,nil))),
    inference(scs_inference,[],[i_0_505,i_0_507,i_0_509,i_0_570,i_0_572,i_0_1595,i_0_1499,i_0_1587,i_0_1688,i_0_524,i_0_1590,i_0_1702,i_0_1667,i_0_1649,i_0_1544,i_0_1511,i_0_1521,i_0_1568,i_0_1540,i_0_1542,i_0_1684,i_0_1523,i_0_1613,i_0_1641,i_0_1578,i_0_1572,i_0_1570,i_0_1623,i_0_1671,i_0_576,i_0_520,i_0_478,i_0_368,i_0_381,i_0_390,i_0_305,i_0_309,i_0_293,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299,i_0_354,i_0_355,i_0_357,i_0_358,i_0_359,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_402,i_0_403,i_0_404,i_0_405,i_0_665,i_0_666,i_0_676,i_0_677,i_0_392,i_0_418,i_0_310,i_0_300,i_0_329,i_0_330,i_0_331,i_0_332,i_0_333,i_0_289,i_0_306,i_0_307,i_0_308,i_0_360,i_0_361,i_0_362,i_0_363,i_0_364,i_0_365,i_0_263,i_0_277,i_0_278,i_0_291,i_0_292,i_0_250,i_0_197,i_0_280,i_0_290,i_0_411,i_0_412,i_0_423,i_0_409,i_0_410,i_0_413,i_0_414,i_0_415,i_0_416,i_0_433,i_0_279,i_0_393,i_0_422,i_0_432,i_0_270,i_0_271,i_0_282,i_0_242,i_0_243,i_0_244,i_0_245,i_0_285,i_0_286,i_0_235,i_0_273,i_0_215]) ).

cnf(i_0_1855,plain,
    tl(app(cons(esk1_0,nil),cons(esk1_0,nil))) = app(tl(cons(esk1_0,nil)),cons(esk1_0,nil)),
    inference(scs_inference,[],[i_0_505,i_0_507,i_0_509,i_0_570,i_0_572,i_0_1595,i_0_1499,i_0_1587,i_0_1688,i_0_524,i_0_1590,i_0_1702,i_0_1667,i_0_1649,i_0_1544,i_0_1511,i_0_1521,i_0_1568,i_0_1540,i_0_1542,i_0_1684,i_0_1523,i_0_1613,i_0_1641,i_0_1578,i_0_1572,i_0_1570,i_0_1623,i_0_1671,i_0_576,i_0_520,i_0_478,i_0_368,i_0_381,i_0_390,i_0_305,i_0_309,i_0_293,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299,i_0_354,i_0_355,i_0_357,i_0_358,i_0_359,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_402,i_0_403,i_0_404,i_0_405,i_0_665,i_0_666,i_0_676,i_0_677,i_0_392,i_0_418,i_0_310,i_0_300,i_0_329,i_0_330,i_0_331,i_0_332,i_0_333,i_0_289,i_0_306,i_0_307,i_0_308,i_0_360,i_0_361,i_0_362,i_0_363,i_0_364,i_0_365,i_0_263,i_0_277,i_0_278,i_0_291,i_0_292,i_0_250,i_0_197,i_0_280,i_0_290,i_0_411,i_0_412,i_0_423,i_0_409,i_0_410,i_0_413,i_0_414,i_0_415,i_0_416,i_0_433,i_0_279,i_0_393,i_0_422,i_0_432,i_0_270,i_0_271,i_0_282,i_0_242,i_0_243,i_0_244,i_0_245,i_0_285,i_0_286,i_0_235,i_0_273,i_0_215,i_0_216,i_0_248]) ).

cnf(i_0_1857,plain,
    app(app(esk8_2(esk50_0,esk50_0),esk50_0),esk9_2(esk50_0,esk50_0)) = esk50_0,
    inference(scs_inference,[],[i_0_505,i_0_507,i_0_509,i_0_570,i_0_572,i_0_1595,i_0_1499,i_0_1587,i_0_1688,i_0_524,i_0_1590,i_0_1702,i_0_1667,i_0_1649,i_0_1544,i_0_1511,i_0_1521,i_0_1568,i_0_1540,i_0_1542,i_0_1684,i_0_1523,i_0_1613,i_0_1641,i_0_1578,i_0_1572,i_0_1570,i_0_1623,i_0_1671,i_0_576,i_0_520,i_0_478,i_0_368,i_0_381,i_0_390,i_0_305,i_0_309,i_0_293,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299,i_0_354,i_0_355,i_0_357,i_0_358,i_0_359,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_402,i_0_403,i_0_404,i_0_405,i_0_665,i_0_666,i_0_676,i_0_677,i_0_392,i_0_418,i_0_310,i_0_300,i_0_329,i_0_330,i_0_331,i_0_332,i_0_333,i_0_289,i_0_306,i_0_307,i_0_308,i_0_360,i_0_361,i_0_362,i_0_363,i_0_364,i_0_365,i_0_263,i_0_277,i_0_278,i_0_291,i_0_292,i_0_250,i_0_197,i_0_280,i_0_290,i_0_411,i_0_412,i_0_423,i_0_409,i_0_410,i_0_413,i_0_414,i_0_415,i_0_416,i_0_433,i_0_279,i_0_393,i_0_422,i_0_432,i_0_270,i_0_271,i_0_282,i_0_242,i_0_243,i_0_244,i_0_245,i_0_285,i_0_286,i_0_235,i_0_273,i_0_215,i_0_216,i_0_248,i_0_205]) ).

cnf(i_0_1859,plain,
    cons(esk26_1(esk48_0),nil) != app(nil,nil),
    inference(scs_inference,[],[i_0_505,i_0_507,i_0_509,i_0_570,i_0_572,i_0_1595,i_0_1499,i_0_1587,i_0_1688,i_0_524,i_0_1533,i_0_1590,i_0_1702,i_0_1667,i_0_1649,i_0_1544,i_0_1511,i_0_1521,i_0_1568,i_0_1540,i_0_1542,i_0_1684,i_0_1523,i_0_1613,i_0_1641,i_0_1578,i_0_1572,i_0_1570,i_0_1623,i_0_1671,i_0_576,i_0_520,i_0_478,i_0_368,i_0_381,i_0_390,i_0_305,i_0_309,i_0_293,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299,i_0_354,i_0_355,i_0_357,i_0_358,i_0_359,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_402,i_0_403,i_0_404,i_0_405,i_0_665,i_0_666,i_0_676,i_0_677,i_0_392,i_0_418,i_0_310,i_0_300,i_0_329,i_0_330,i_0_331,i_0_332,i_0_333,i_0_289,i_0_306,i_0_307,i_0_308,i_0_360,i_0_361,i_0_362,i_0_363,i_0_364,i_0_365,i_0_263,i_0_277,i_0_278,i_0_291,i_0_292,i_0_250,i_0_197,i_0_280,i_0_290,i_0_411,i_0_412,i_0_423,i_0_409,i_0_410,i_0_413,i_0_414,i_0_415,i_0_416,i_0_433,i_0_279,i_0_393,i_0_422,i_0_432,i_0_270,i_0_271,i_0_282,i_0_242,i_0_243,i_0_244,i_0_245,i_0_285,i_0_286,i_0_235,i_0_273,i_0_215,i_0_216,i_0_248,i_0_205,i_0_284]) ).

cnf(i_0_1861,plain,
    ~ geq(esk26_1(esk48_0),esk25_1(esk48_0)),
    inference(scs_inference,[],[i_0_505,i_0_507,i_0_509,i_0_570,i_0_572,i_0_1595,i_0_1499,i_0_1587,i_0_1688,i_0_524,i_0_1533,i_0_1590,i_0_1702,i_0_1667,i_0_1649,i_0_1544,i_0_1511,i_0_1521,i_0_1568,i_0_1540,i_0_1542,i_0_1566,i_0_1684,i_0_1523,i_0_1613,i_0_1641,i_0_1578,i_0_1572,i_0_1570,i_0_1623,i_0_1671,i_0_576,i_0_520,i_0_478,i_0_368,i_0_381,i_0_390,i_0_305,i_0_309,i_0_293,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299,i_0_354,i_0_355,i_0_357,i_0_358,i_0_359,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_402,i_0_403,i_0_404,i_0_405,i_0_665,i_0_666,i_0_676,i_0_677,i_0_392,i_0_418,i_0_310,i_0_300,i_0_329,i_0_330,i_0_331,i_0_332,i_0_333,i_0_289,i_0_306,i_0_307,i_0_308,i_0_360,i_0_361,i_0_362,i_0_363,i_0_364,i_0_365,i_0_263,i_0_277,i_0_278,i_0_291,i_0_292,i_0_250,i_0_197,i_0_280,i_0_290,i_0_411,i_0_412,i_0_423,i_0_409,i_0_410,i_0_413,i_0_414,i_0_415,i_0_416,i_0_433,i_0_279,i_0_393,i_0_422,i_0_432,i_0_270,i_0_271,i_0_282,i_0_242,i_0_243,i_0_244,i_0_245,i_0_285,i_0_286,i_0_235,i_0_273,i_0_215,i_0_216,i_0_248,i_0_205,i_0_284,i_0_272]) ).

cnf(i_0_1863,plain,
    app(esk7_2(esk50_0,esk50_0),esk50_0) = esk50_0,
    inference(scs_inference,[],[i_0_505,i_0_507,i_0_509,i_0_570,i_0_572,i_0_1595,i_0_1499,i_0_1587,i_0_1688,i_0_524,i_0_1533,i_0_1590,i_0_1702,i_0_1667,i_0_1649,i_0_1544,i_0_1511,i_0_1521,i_0_1568,i_0_1540,i_0_1542,i_0_1566,i_0_1684,i_0_1523,i_0_1613,i_0_1641,i_0_1578,i_0_1572,i_0_1570,i_0_1623,i_0_1671,i_0_576,i_0_520,i_0_478,i_0_368,i_0_381,i_0_390,i_0_305,i_0_309,i_0_293,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299,i_0_354,i_0_355,i_0_357,i_0_358,i_0_359,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_402,i_0_403,i_0_404,i_0_405,i_0_665,i_0_666,i_0_676,i_0_677,i_0_392,i_0_418,i_0_310,i_0_300,i_0_329,i_0_330,i_0_331,i_0_332,i_0_333,i_0_289,i_0_306,i_0_307,i_0_308,i_0_360,i_0_361,i_0_362,i_0_363,i_0_364,i_0_365,i_0_263,i_0_277,i_0_278,i_0_291,i_0_292,i_0_250,i_0_197,i_0_280,i_0_290,i_0_411,i_0_412,i_0_423,i_0_409,i_0_410,i_0_413,i_0_414,i_0_415,i_0_416,i_0_433,i_0_279,i_0_393,i_0_422,i_0_432,i_0_270,i_0_271,i_0_282,i_0_242,i_0_243,i_0_244,i_0_245,i_0_285,i_0_286,i_0_235,i_0_273,i_0_215,i_0_216,i_0_248,i_0_205,i_0_284,i_0_272,i_0_234]) ).

cnf(i_0_1865,plain,
    neq(esk48_0,nil),
    inference(scs_inference,[],[i_0_505,i_0_507,i_0_509,i_0_570,i_0_572,i_0_1595,i_0_1499,i_0_1525,i_0_1587,i_0_1688,i_0_524,i_0_1533,i_0_1590,i_0_1702,i_0_1667,i_0_1649,i_0_1544,i_0_1511,i_0_1521,i_0_1568,i_0_1540,i_0_1542,i_0_1566,i_0_1684,i_0_1523,i_0_1613,i_0_1641,i_0_1578,i_0_1572,i_0_1570,i_0_1623,i_0_1671,i_0_576,i_0_520,i_0_478,i_0_368,i_0_381,i_0_383,i_0_384,i_0_390,i_0_305,i_0_309,i_0_293,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299,i_0_354,i_0_355,i_0_357,i_0_358,i_0_359,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_402,i_0_403,i_0_404,i_0_405,i_0_665,i_0_666,i_0_676,i_0_677,i_0_392,i_0_418,i_0_310,i_0_300,i_0_329,i_0_330,i_0_331,i_0_332,i_0_333,i_0_289,i_0_306,i_0_307,i_0_308,i_0_360,i_0_361,i_0_362,i_0_363,i_0_364,i_0_365,i_0_263,i_0_277,i_0_278,i_0_291,i_0_292,i_0_250,i_0_197,i_0_280,i_0_290,i_0_411,i_0_412,i_0_423,i_0_409,i_0_410,i_0_413,i_0_414,i_0_415,i_0_416,i_0_433,i_0_279,i_0_393,i_0_422,i_0_432,i_0_270,i_0_271,i_0_282,i_0_242,i_0_243,i_0_244,i_0_245,i_0_285,i_0_286,i_0_235,i_0_273,i_0_215,i_0_216,i_0_248,i_0_205,i_0_284,i_0_272,i_0_234,i_0_303]) ).

cnf(i_0_1867,plain,
    frontsegP(app(app(nil,nil),app(nil,nil)),app(nil,nil)),
    inference(scs_inference,[],[i_0_505,i_0_507,i_0_509,i_0_570,i_0_572,i_0_1595,i_0_1499,i_0_1525,i_0_1587,i_0_1688,i_0_524,i_0_1533,i_0_1590,i_0_1702,i_0_1667,i_0_1649,i_0_1544,i_0_1511,i_0_1521,i_0_1568,i_0_1540,i_0_1542,i_0_1566,i_0_1684,i_0_1523,i_0_1613,i_0_1641,i_0_1578,i_0_1572,i_0_1570,i_0_1623,i_0_1671,i_0_576,i_0_520,i_0_478,i_0_368,i_0_381,i_0_383,i_0_384,i_0_390,i_0_305,i_0_309,i_0_293,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299,i_0_354,i_0_355,i_0_357,i_0_358,i_0_359,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_402,i_0_403,i_0_404,i_0_405,i_0_665,i_0_666,i_0_676,i_0_677,i_0_392,i_0_418,i_0_310,i_0_300,i_0_329,i_0_330,i_0_331,i_0_332,i_0_333,i_0_289,i_0_306,i_0_307,i_0_308,i_0_360,i_0_361,i_0_362,i_0_363,i_0_364,i_0_365,i_0_263,i_0_277,i_0_278,i_0_291,i_0_292,i_0_250,i_0_197,i_0_280,i_0_290,i_0_411,i_0_412,i_0_423,i_0_409,i_0_410,i_0_413,i_0_414,i_0_415,i_0_416,i_0_433,i_0_279,i_0_393,i_0_422,i_0_432,i_0_270,i_0_271,i_0_282,i_0_242,i_0_243,i_0_244,i_0_245,i_0_285,i_0_286,i_0_235,i_0_273,i_0_215,i_0_216,i_0_248,i_0_205,i_0_284,i_0_272,i_0_234,i_0_303,i_0_449]) ).

cnf(i_0_1869,plain,
    rearsegP(app(cons(esk1_0,nil),nil),nil),
    inference(scs_inference,[],[i_0_505,i_0_507,i_0_509,i_0_570,i_0_572,i_0_1595,i_0_1499,i_0_1525,i_0_1587,i_0_1688,i_0_524,i_0_1533,i_0_1590,i_0_1702,i_0_1667,i_0_1649,i_0_1544,i_0_1511,i_0_1521,i_0_1568,i_0_1540,i_0_1542,i_0_1566,i_0_1684,i_0_1523,i_0_1613,i_0_1673,i_0_1641,i_0_1578,i_0_1572,i_0_1570,i_0_1623,i_0_1671,i_0_576,i_0_520,i_0_478,i_0_368,i_0_381,i_0_383,i_0_384,i_0_390,i_0_305,i_0_309,i_0_293,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299,i_0_354,i_0_355,i_0_357,i_0_358,i_0_359,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_402,i_0_403,i_0_404,i_0_405,i_0_665,i_0_666,i_0_676,i_0_677,i_0_392,i_0_418,i_0_310,i_0_300,i_0_329,i_0_330,i_0_331,i_0_332,i_0_333,i_0_289,i_0_306,i_0_307,i_0_308,i_0_360,i_0_361,i_0_362,i_0_363,i_0_364,i_0_365,i_0_263,i_0_277,i_0_278,i_0_291,i_0_292,i_0_250,i_0_197,i_0_280,i_0_290,i_0_411,i_0_412,i_0_423,i_0_409,i_0_410,i_0_413,i_0_414,i_0_415,i_0_416,i_0_433,i_0_279,i_0_393,i_0_422,i_0_432,i_0_270,i_0_271,i_0_282,i_0_242,i_0_243,i_0_244,i_0_245,i_0_285,i_0_286,i_0_235,i_0_273,i_0_215,i_0_216,i_0_248,i_0_205,i_0_284,i_0_272,i_0_234,i_0_303,i_0_449,i_0_448]) ).

cnf(i_0_1871,plain,
    rearsegP(app(esk50_0,esk50_0),esk50_0),
    inference(scs_inference,[],[i_0_505,i_0_507,i_0_509,i_0_570,i_0_572,i_0_1595,i_0_1499,i_0_1525,i_0_1587,i_0_1688,i_0_524,i_0_1533,i_0_1590,i_0_1702,i_0_1667,i_0_1649,i_0_1544,i_0_1511,i_0_1521,i_0_1568,i_0_1540,i_0_1542,i_0_1566,i_0_1684,i_0_1523,i_0_1613,i_0_1673,i_0_1641,i_0_1578,i_0_1572,i_0_1570,i_0_1623,i_0_1671,i_0_576,i_0_520,i_0_478,i_0_368,i_0_381,i_0_383,i_0_384,i_0_390,i_0_305,i_0_309,i_0_293,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299,i_0_354,i_0_355,i_0_357,i_0_358,i_0_359,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_402,i_0_403,i_0_404,i_0_405,i_0_665,i_0_666,i_0_676,i_0_677,i_0_392,i_0_418,i_0_310,i_0_300,i_0_329,i_0_330,i_0_331,i_0_332,i_0_333,i_0_289,i_0_306,i_0_307,i_0_308,i_0_360,i_0_361,i_0_362,i_0_363,i_0_364,i_0_365,i_0_263,i_0_277,i_0_278,i_0_291,i_0_292,i_0_250,i_0_197,i_0_280,i_0_290,i_0_411,i_0_412,i_0_423,i_0_409,i_0_410,i_0_413,i_0_414,i_0_415,i_0_416,i_0_433,i_0_279,i_0_393,i_0_422,i_0_432,i_0_270,i_0_271,i_0_282,i_0_242,i_0_243,i_0_244,i_0_245,i_0_285,i_0_286,i_0_235,i_0_273,i_0_215,i_0_216,i_0_248,i_0_205,i_0_284,i_0_272,i_0_234,i_0_303,i_0_449,i_0_448,i_0_219]) ).

cnf(i_0_1873,plain,
    frontsegP(app(app(app(nil,nil),app(nil,nil)),app(nil,nil)),app(nil,nil)),
    inference(scs_inference,[],[i_0_505,i_0_507,i_0_509,i_0_570,i_0_572,i_0_1595,i_0_1499,i_0_1525,i_0_1587,i_0_1688,i_0_524,i_0_1533,i_0_1590,i_0_1702,i_0_1667,i_0_1649,i_0_1544,i_0_1511,i_0_1521,i_0_1568,i_0_1540,i_0_1542,i_0_1566,i_0_1684,i_0_1523,i_0_1613,i_0_1673,i_0_1641,i_0_1578,i_0_1572,i_0_1570,i_0_1623,i_0_1671,i_0_576,i_0_520,i_0_478,i_0_368,i_0_381,i_0_383,i_0_384,i_0_390,i_0_305,i_0_309,i_0_293,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299,i_0_354,i_0_355,i_0_357,i_0_358,i_0_359,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_402,i_0_403,i_0_404,i_0_405,i_0_665,i_0_666,i_0_676,i_0_677,i_0_392,i_0_418,i_0_310,i_0_300,i_0_329,i_0_330,i_0_331,i_0_332,i_0_333,i_0_289,i_0_306,i_0_307,i_0_308,i_0_360,i_0_361,i_0_362,i_0_363,i_0_364,i_0_365,i_0_263,i_0_277,i_0_278,i_0_291,i_0_292,i_0_250,i_0_197,i_0_280,i_0_290,i_0_411,i_0_412,i_0_423,i_0_409,i_0_410,i_0_413,i_0_414,i_0_415,i_0_416,i_0_433,i_0_279,i_0_393,i_0_422,i_0_432,i_0_270,i_0_271,i_0_282,i_0_242,i_0_243,i_0_244,i_0_245,i_0_285,i_0_286,i_0_235,i_0_273,i_0_215,i_0_216,i_0_248,i_0_205,i_0_284,i_0_272,i_0_234,i_0_303,i_0_449,i_0_448,i_0_219,i_0_220]) ).

cnf(i_0_1875,plain,
    ~ totalorderedP(cons(esk26_1(esk48_0),esk50_0)),
    inference(scs_inference,[],[i_0_505,i_0_507,i_0_509,i_0_570,i_0_572,i_0_1595,i_0_1499,i_0_1525,i_0_1587,i_0_1688,i_0_524,i_0_1533,i_0_1590,i_0_1702,i_0_1667,i_0_1649,i_0_1544,i_0_1511,i_0_1521,i_0_1568,i_0_1540,i_0_1542,i_0_1566,i_0_1684,i_0_1523,i_0_1613,i_0_1673,i_0_1641,i_0_1578,i_0_1572,i_0_1570,i_0_1623,i_0_1671,i_0_576,i_0_520,i_0_478,i_0_368,i_0_381,i_0_383,i_0_384,i_0_390,i_0_305,i_0_309,i_0_293,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299,i_0_354,i_0_355,i_0_357,i_0_358,i_0_359,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_402,i_0_403,i_0_404,i_0_405,i_0_665,i_0_666,i_0_676,i_0_677,i_0_392,i_0_418,i_0_310,i_0_300,i_0_329,i_0_330,i_0_331,i_0_332,i_0_333,i_0_289,i_0_306,i_0_307,i_0_308,i_0_360,i_0_361,i_0_362,i_0_363,i_0_364,i_0_365,i_0_263,i_0_277,i_0_278,i_0_291,i_0_292,i_0_250,i_0_197,i_0_280,i_0_290,i_0_411,i_0_412,i_0_423,i_0_409,i_0_410,i_0_413,i_0_414,i_0_415,i_0_416,i_0_433,i_0_279,i_0_393,i_0_422,i_0_432,i_0_270,i_0_271,i_0_282,i_0_242,i_0_243,i_0_244,i_0_245,i_0_285,i_0_286,i_0_235,i_0_273,i_0_215,i_0_216,i_0_248,i_0_205,i_0_284,i_0_272,i_0_234,i_0_303,i_0_449,i_0_448,i_0_219,i_0_220,i_0_239]) ).

cnf(i_0_1877,plain,
    ~ strictorderedP(cons(esk46_1(esk48_0),esk48_0)),
    inference(scs_inference,[],[i_0_505,i_0_507,i_0_509,i_0_570,i_0_572,i_0_1595,i_0_1499,i_0_1525,i_0_1587,i_0_1688,i_0_524,i_0_1533,i_0_1590,i_0_1702,i_0_1667,i_0_1649,i_0_1544,i_0_1511,i_0_1521,i_0_1568,i_0_1540,i_0_1542,i_0_1560,i_0_1566,i_0_1684,i_0_1686,i_0_1523,i_0_1613,i_0_1673,i_0_1641,i_0_1578,i_0_1572,i_0_1570,i_0_1623,i_0_1671,i_0_576,i_0_520,i_0_478,i_0_368,i_0_475,i_0_381,i_0_383,i_0_384,i_0_390,i_0_305,i_0_309,i_0_293,i_0_294,i_0_295,i_0_296,i_0_297,i_0_298,i_0_299,i_0_354,i_0_355,i_0_357,i_0_358,i_0_359,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_402,i_0_403,i_0_404,i_0_405,i_0_665,i_0_666,i_0_676,i_0_677,i_0_392,i_0_418,i_0_310,i_0_300,i_0_329,i_0_330,i_0_331,i_0_332,i_0_333,i_0_289,i_0_306,i_0_307,i_0_308,i_0_360,i_0_361,i_0_362,i_0_363,i_0_364,i_0_365,i_0_263,i_0_277,i_0_278,i_0_291,i_0_292,i_0_250,i_0_197,i_0_280,i_0_290,i_0_411,i_0_412,i_0_423,i_0_409,i_0_410,i_0_413,i_0_414,i_0_415,i_0_416,i_0_433,i_0_279,i_0_393,i_0_422,i_0_432,i_0_270,i_0_271,i_0_282,i_0_242,i_0_243,i_0_244,i_0_245,i_0_285,i_0_286,i_0_235,i_0_273,i_0_215,i_0_216,i_0_248,i_0_205,i_0_284,i_0_272,i_0_234,i_0_303,i_0_449,i_0_448,i_0_219,i_0_220,i_0_239,i_0_224]) ).

cnf(c_0_404,plain,
    ( lt(X1,X2)
    | ~ strictorderedP(X3)
    | ~ ssItem(X1)
    | ~ ssItem(X2)
    | ~ ssList(X4)
    | ~ ssList(X5)
    | ~ ssList(X6)
    | app(app(X4,cons(X1,X5)),cons(X2,X6)) != X3
    | ~ ssList(X3) ),
    i_0_192 ).

cnf(c_0_405,plain,
    ( totalorderedP(X1)
    | ~ leq(esk25_1(X1),esk26_1(X1))
    | ~ ssList(X1) ),
    i_0_263 ).

cnf(c_0_406,plain,
    ( leq(X1,X2)
    | ~ lt(X1,X2)
    | ~ ssItem(X2)
    | ~ ssItem(X1) ),
    i_0_271 ).

cnf(c_0_407,plain,
    ( ssItem(esk25_1(X1))
    | totalorderedP(X1)
    | ~ ssList(X1) ),
    i_0_333 ).

cnf(c_0_408,plain,
    ( ssItem(esk26_1(X1))
    | totalorderedP(X1)
    | ~ ssList(X1) ),
    i_0_332 ).

cnf(c_0_409,negated_conjecture,
    ~ totalorderedP(esk48_0),
    i_0_368 ).

cnf(c_0_410,negated_conjecture,
    esk48_0 = esk50_0,
    i_0_390 ).

cnf(c_0_411,plain,
    ( lt(X1,X2)
    | ~ strictorderedP(app(app(X3,cons(X1,X4)),cons(X2,X5)))
    | ~ ssList(app(app(X3,cons(X1,X4)),cons(X2,X5)))
    | ~ ssList(X5)
    | ~ ssList(X4)
    | ~ ssList(X3)
    | ~ ssItem(X2)
    | ~ ssItem(X1) ),
    inference(er,[status(thm)],[c_0_404]) ).

cnf(c_0_412,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) ),
    i_0_197 ).

cnf(c_0_413,plain,
    ( ssList(esk27_1(X1))
    | totalorderedP(X1)
    | ~ ssList(X1) ),
    i_0_331 ).

cnf(c_0_414,plain,
    ( ssList(esk28_1(X1))
    | totalorderedP(X1)
    | ~ ssList(X1) ),
    i_0_330 ).

cnf(c_0_415,plain,
    ( ssList(esk29_1(X1))
    | totalorderedP(X1)
    | ~ ssList(X1) ),
    i_0_329 ).

cnf(c_0_416,plain,
    ( totalorderedP(X1)
    | ~ lt(esk25_1(X1),esk26_1(X1))
    | ~ ssList(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_405,c_0_406]),c_0_407]),c_0_408]) ).

cnf(c_0_417,negated_conjecture,
    ~ totalorderedP(esk50_0),
    inference(rw,[status(thm)],[c_0_409,c_0_410]) ).

cnf(c_0_418,plain,
    ( totalorderedP(X1)
    | ~ strictorderedP(X1)
    | ~ ssList(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_411,c_0_412]),c_0_407]),c_0_408]),c_0_413]),c_0_414]),c_0_415]),c_0_416]) ).

cnf(c_0_419,negated_conjecture,
    strictorderedP(esk50_0),
    i_0_372 ).

cnf(c_0_420,negated_conjecture,
    ssList(esk50_0),
    i_0_381 ).

cnf(c_0_421,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_417,c_0_418]),c_0_419]),c_0_420])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : SWC274+1 : TPTP v9.2.1. Released v2.4.0.
% 0.00/0.12  % Command    : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.15/0.33  % Computer : n026.cluster.edu
% 0.15/0.33  % Model    : x86_64 x86_64
% 0.15/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.33  % Memory   : 8042.1875MB
% 0.15/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.33  % CPULimit   : 300
% 0.15/0.33  % WCLimit    : 300
% 0.15/0.33  % DateTime   : Tue May  5 04:41:38 EDT 2026
% 0.15/0.33  % CPUTime    : 
% 0.15/0.34  % start to proof: theBenchmark
% 205.20/125.70  % Version  : CSE_E---1.7
% 205.20/125.70  % Problem  : theBenchmark.p
% 205.20/125.70  % SZS status Theorem for theBenchmark.p
% 205.20/125.70  % SZS output start CNFRefutation
% See solution above
% 216.40/137.01  % Total time : 124.585s
%------------------------------------------------------------------------------