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Vampire-SAT---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : SWC388+1 : TPTP v9.3.1. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT

% Computer : n010.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Tue Sep 29 01:05:49 PM UTC 2026

% Result   : Theorem 31.99s 7.52s
% Output   : Refutation 31.99s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   24
%            Number of leaves      :   31
% Syntax   : Number of formulae    :  236 (  27 unt;  13 def)
%            Number of atoms       :  758 ( 136 equ)
%            Maximal formula atoms :   14 (   3 avg)
%            Number of connectives :  777 ( 255   ~; 414   |;  40   &)
%                                         (  31 <=>;  37  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   16 (   4 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :   22 (  20 usr;  14 prp; 0-2 aty)
%            Number of functors    :   13 (  13 usr;   5 con; 0-2 aty)
%            Number of variables   :  181 (   0 sgn 159   !;  22   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f3,axiom,
    ! [X0] :
      ( ssList(X0)
     => ! [X1] :
          ( ssItem(X1)
         => ( memberP(X0,X1)
          <=> ? [X2] :
                ( ssList(X2)
                & ? [X3] :
                    ( ssList(X3)
                    & app(X2,cons(X1,X3)) = X0 ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax3) ).

fof(f4,axiom,
    ! [X0] :
      ( ssList(X0)
     => ( singletonP(X0)
      <=> ? [X1] :
            ( ssItem(X1)
            & cons(X1,nil) = X0 ) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax4) ).

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

fof(f7,axiom,
    ! [X0] :
      ( ssList(X0)
     => ! [X1] :
          ( ssList(X1)
         => ( segmentP(X0,X1)
          <=> ? [X2] :
                ( ssList(X2)
                & ? [X3] :
                    ( ssList(X3)
                    & app(app(X2,X1),X3) = X0 ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax7) ).

fof(f15,axiom,
    ! [X0] :
      ( ssList(X0)
     => ! [X1] :
          ( ssList(X1)
         => ( neq(X0,X1)
          <=> X0 != X1 ) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax15) ).

fof(f17,axiom,
    ssList(nil),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax17) ).

fof(f21,axiom,
    ! [X0] :
      ( ssList(X0)
     => ! [X1] :
          ( ssItem(X1)
         => nil != cons(X1,X0) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax21) ).

fof(f22,axiom,
    ! [X0] :
      ( ssList(X0)
     => ( nil != X0
       => ssItem(hd(X0)) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax22) ).

fof(f23,axiom,
    ! [X0] :
      ( ssList(X0)
     => ! [X1] :
          ( ssItem(X1)
         => hd(cons(X1,X0)) = X1 ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax23) ).

fof(f24,axiom,
    ! [X0] :
      ( ssList(X0)
     => ( nil != X0
       => ssList(tl(X0)) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax24) ).

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

fof(f36,axiom,
    ! [X0] :
      ( ssItem(X0)
     => ! [X1] :
          ( ssList(X1)
         => ! [X2] :
              ( ssList(X2)
             => ( memberP(app(X1,X2),X0)
              <=> ( memberP(X1,X0)
                  | memberP(X2,X0) ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax36) ).

fof(f42,axiom,
    ! [X0] :
      ( ssList(X0)
     => frontsegP(X0,X0) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax42) ).

fof(f46,axiom,
    ! [X0] :
      ( ssList(X0)
     => ( frontsegP(nil,X0)
      <=> nil = X0 ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax46) ).

fof(f58,axiom,
    ! [X0] :
      ( ssList(X0)
     => ( segmentP(nil,X0)
      <=> nil = X0 ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax58) ).

fof(f78,axiom,
    ! [X0] :
      ( ssList(X0)
     => ( nil != X0
       => cons(hd(X0),tl(X0)) = X0 ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax78) ).

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

fof(f96,conjecture,
    ! [X0] :
      ( ssList(X0)
     => ! [X1] :
          ( ssList(X1)
         => ! [X2] :
              ( ssList(X2)
             => ! [X3] :
                  ( ssList(X3)
                 => ( X1 != X3
                    | X0 != X2
                    | ~ segmentP(X3,X2)
                    | ? [X4] :
                        ( ssItem(X4)
                        & cons(X4,nil) = X0
                        & memberP(X1,X4) )
                    | ( ~ singletonP(X2)
                      & neq(X3,nil) )
                    | ( nil = X1
                      & nil = X0 ) ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).

fof(f97,negated_conjecture,
    ~ ! [X0] :
        ( ssList(X0)
       => ! [X1] :
            ( ssList(X1)
           => ! [X2] :
                ( ssList(X2)
               => ! [X3] :
                    ( ssList(X3)
                   => ( X1 != X3
                      | X0 != X2
                      | ~ segmentP(X3,X2)
                      | ? [X4] :
                          ( ssItem(X4)
                          & cons(X4,nil) = X0
                          & memberP(X1,X4) )
                      | ( ~ singletonP(X2)
                        & neq(X3,nil) )
                      | ( nil = X1
                        & nil = X0 ) ) ) ) ) ),
    inference(negated_conjecture,[status(cth)],[f96]) ).

fof(f99,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( memberP(X0,X1)
          <=> ? [X2] :
                ( ssList(X2)
                & ? [X3] :
                    ( ssList(X3)
                    & app(X2,cons(X1,X3)) = X0 ) ) )
          | ~ ssItem(X1) )
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f3]) ).

fof(f100,plain,
    ! [X0] :
      ( ( singletonP(X0)
      <=> ? [X1] :
            ( ssItem(X1)
            & cons(X1,nil) = X0 ) )
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f4]) ).

fof(f101,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( frontsegP(X0,X1)
          <=> ? [X2] :
                ( ssList(X2)
                & app(X1,X2) = X0 ) )
          | ~ ssList(X1) )
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f5]) ).

fof(f103,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( segmentP(X0,X1)
          <=> ? [X2] :
                ( ssList(X2)
                & ? [X3] :
                    ( ssList(X3)
                    & app(app(X2,X1),X3) = X0 ) ) )
          | ~ ssList(X1) )
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f7]) ).

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

fof(f125,plain,
    ! [X0] :
      ( ! [X1] :
          ( nil != cons(X1,X0)
          | ~ ssItem(X1) )
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f21]) ).

fof(f126,plain,
    ! [X0] :
      ( ssItem(hd(X0))
      | nil = X0
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f22]) ).

fof(f127,plain,
    ! [X0] :
      ( ssItem(hd(X0))
      | nil = X0
      | ~ ssList(X0) ),
    inference(flattening,[],[f126]) ).

fof(f128,plain,
    ! [X0] :
      ( ! [X1] :
          ( hd(cons(X1,X0)) = X1
          | ~ ssItem(X1) )
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f23]) ).

fof(f129,plain,
    ! [X0] :
      ( ssList(tl(X0))
      | nil = X0
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f24]) ).

fof(f130,plain,
    ! [X0] :
      ( ssList(tl(X0))
      | nil = X0
      | ~ ssList(X0) ),
    inference(flattening,[],[f129]) ).

fof(f132,plain,
    ! [X0] :
      ( ! [X1] :
          ( ssList(app(X0,X1))
          | ~ ssList(X1) )
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f26]) ).

fof(f146,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( ( memberP(app(X1,X2),X0)
              <=> ( memberP(X1,X0)
                  | memberP(X2,X0) ) )
              | ~ ssList(X2) )
          | ~ ssList(X1) )
      | ~ ssItem(X0) ),
    inference(ennf_transformation,[],[f36]) ).

fof(f153,plain,
    ! [X0] :
      ( frontsegP(X0,X0)
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f42]) ).

fof(f158,plain,
    ! [X0] :
      ( ( frontsegP(nil,X0)
      <=> nil = X0 )
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f46]) ).

fof(f176,plain,
    ! [X0] :
      ( ( segmentP(nil,X0)
      <=> nil = X0 )
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f58]) ).

fof(f192,plain,
    ! [X0] :
      ( cons(hd(X0),tl(X0)) = X0
      | nil = X0
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f78]) ).

fof(f193,plain,
    ! [X0] :
      ( cons(hd(X0),tl(X0)) = X0
      | nil = X0
      | ~ ssList(X0) ),
    inference(flattening,[],[f192]) ).

fof(f200,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( nil = app(X0,X1)
          <=> ( nil = X1
              & nil = X0 ) )
          | ~ ssList(X1) )
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f83]) ).

fof(f221,plain,
    ? [X0] :
      ( ? [X1] :
          ( ? [X2] :
              ( ? [X3] :
                  ( X1 = X3
                  & X0 = X2
                  & segmentP(X3,X2)
                  & ! [X4] :
                      ( ~ ssItem(X4)
                      | cons(X4,nil) != X0
                      | ~ memberP(X1,X4) )
                  & ( singletonP(X2)
                    | ~ neq(X3,nil) )
                  & ( nil != X1
                    | nil != X0 )
                  & ssList(X3) )
              & ssList(X2) )
          & ssList(X1) )
      & ssList(X0) ),
    inference(ennf_transformation,[],[f97]) ).

fof(f222,plain,
    ? [X0] :
      ( ? [X1] :
          ( ? [X2] :
              ( ? [X3] :
                  ( X1 = X3
                  & X0 = X2
                  & segmentP(X3,X2)
                  & ! [X4] :
                      ( ~ ssItem(X4)
                      | cons(X4,nil) != X0
                      | ~ memberP(X1,X4) )
                  & ( singletonP(X2)
                    | ~ neq(X3,nil) )
                  & ( nil != X1
                    | nil != X0 )
                  & ssList(X3) )
              & ssList(X2) )
          & ssList(X1) )
      & ssList(X0) ),
    inference(flattening,[],[f221]) ).

fof(f228,plain,
    ! [X2,X3,X0,X1] :
      ( ~ ssList(X0)
      | ~ ssItem(X1)
      | app(X2,cons(X1,X3)) != X0
      | ~ ssList(X3)
      | ~ ssList(X2)
      | memberP(X0,X1) ),
    inference(cnf_transformation,[],[f99]) ).

fof(f232,plain,
    ! [X0] :
      ( ~ ssList(X0)
      | cons(sK4(X0),nil) = X0
      | ~ singletonP(X0) ),
    inference(cnf_transformation,[],[f100]) ).

fof(f233,plain,
    ! [X0] :
      ( ~ ssList(X0)
      | ssItem(sK4(X0))
      | ~ singletonP(X0) ),
    inference(cnf_transformation,[],[f100]) ).

fof(f235,plain,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | app(X1,sK5(X0,X1)) = X0
      | ~ frontsegP(X0,X1) ),
    inference(cnf_transformation,[],[f101]) ).

fof(f236,plain,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | ssList(sK5(X0,X1))
      | ~ frontsegP(X0,X1) ),
    inference(cnf_transformation,[],[f101]) ).

fof(f242,plain,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | app(app(sK7(X0,X1),X1),sK8(X0,X1)) = X0
      | ~ segmentP(X0,X1) ),
    inference(cnf_transformation,[],[f103]) ).

fof(f243,plain,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | ssList(sK8(X0,X1))
      | ~ segmentP(X0,X1) ),
    inference(cnf_transformation,[],[f103]) ).

fof(f244,plain,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | ssList(sK7(X0,X1))
      | ~ segmentP(X0,X1) ),
    inference(cnf_transformation,[],[f103]) ).

fof(f303,plain,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | X0 = X1
      | neq(X0,X1) ),
    inference(cnf_transformation,[],[f118]) ).

fof(f306,plain,
    ssList(nil),
    inference(cnf_transformation,[],[f17]) ).

fof(f313,plain,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | ~ ssItem(X1)
      | nil != cons(X1,X0) ),
    inference(cnf_transformation,[],[f125]) ).

fof(f314,plain,
    ! [X0] :
      ( ~ ssList(X0)
      | nil = X0
      | ssItem(hd(X0)) ),
    inference(cnf_transformation,[],[f127]) ).

fof(f315,plain,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | ~ ssItem(X1)
      | hd(cons(X1,X0)) = X1 ),
    inference(cnf_transformation,[],[f128]) ).

fof(f316,plain,
    ! [X0] :
      ( ~ ssList(X0)
      | nil = X0
      | ssList(tl(X0)) ),
    inference(cnf_transformation,[],[f130]) ).

fof(f318,plain,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | ssList(app(X0,X1)) ),
    inference(cnf_transformation,[],[f132]) ).

fof(f332,plain,
    ! [X2,X0,X1] :
      ( ~ ssItem(X0)
      | ~ ssList(X1)
      | ~ ssList(X2)
      | ~ memberP(X1,X0)
      | memberP(app(X1,X2),X0) ),
    inference(cnf_transformation,[],[f146]) ).

fof(f340,plain,
    ! [X0] :
      ( ~ ssList(X0)
      | frontsegP(X0,X0) ),
    inference(cnf_transformation,[],[f153]) ).

fof(f346,plain,
    ! [X0] :
      ( ~ ssList(X0)
      | nil != X0
      | frontsegP(nil,X0) ),
    inference(cnf_transformation,[],[f158]) ).

fof(f361,plain,
    ! [X0] :
      ( ~ ssList(X0)
      | nil = X0
      | ~ segmentP(nil,X0) ),
    inference(cnf_transformation,[],[f176]) ).

fof(f389,plain,
    ! [X0] :
      ( ~ ssList(X0)
      | nil = X0
      | cons(hd(X0),tl(X0)) = X0 ),
    inference(cnf_transformation,[],[f193]) ).

fof(f395,plain,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | nil = X1
      | nil != app(X0,X1) ),
    inference(cnf_transformation,[],[f200]) ).

fof(f411,plain,
    ! [X4] :
      ( ~ memberP(sK48,X4)
      | cons(X4,nil) != sK47
      | ~ ssItem(X4) ),
    inference(cnf_transformation,[],[f222]) ).

fof(f412,plain,
    ( ~ neq(sK50,nil)
    | singletonP(sK49) ),
    inference(cnf_transformation,[],[f222]) ).

fof(f413,plain,
    ( nil != sK47
    | nil != sK48 ),
    inference(cnf_transformation,[],[f222]) ).

fof(f415,plain,
    segmentP(sK50,sK49),
    inference(cnf_transformation,[],[f222]) ).

fof(f416,plain,
    sK47 = sK49,
    inference(cnf_transformation,[],[f222]) ).

fof(f417,plain,
    sK48 = sK50,
    inference(cnf_transformation,[],[f222]) ).

fof(f419,plain,
    ssList(sK48),
    inference(cnf_transformation,[],[f222]) ).

fof(f420,plain,
    ssList(sK47),
    inference(cnf_transformation,[],[f222]) ).

fof(f421,plain,
    ssList(sK49),
    inference(definition_unfolding,[],[f420,f416]) ).

fof(f422,plain,
    ssList(sK50),
    inference(definition_unfolding,[],[f419,f417]) ).

fof(f423,plain,
    ( nil != sK49
    | nil != sK50 ),
    inference(definition_unfolding,[],[f413,f416,f417]) ).

fof(f424,plain,
    ! [X4] :
      ( ~ memberP(sK50,X4)
      | cons(X4,nil) != sK49
      | ~ ssItem(X4) ),
    inference(definition_unfolding,[],[f411,f417,f416]) ).

fof(f426,plain,
    ! [X2,X3,X1] :
      ( ~ ssList(app(X2,cons(X1,X3)))
      | ~ ssItem(X1)
      | ~ ssList(X3)
      | ~ ssList(X2)
      | memberP(app(X2,cons(X1,X3)),X1) ),
    inference(equality_resolution,[],[f228]) ).

fof(f442,plain,
    ( ~ ssList(nil)
    | frontsegP(nil,nil) ),
    inference(equality_resolution,[],[f346]) ).

fof(f457,plain,
    ! [X2,X3,X1] :
      ( memberP(app(X2,cons(X1,X3)),X1)
      | ssItem(X1)
      | ssList(X3)
      | ssList(X2)
      | ssList(app(X2,cons(X1,X3))) ),
    inference(consistent_polarity_flipping,[],[f426]) ).

fof(f459,plain,
    ! [X0] :
      ( ~ ssItem(sK4(X0))
      | ssList(X0)
      | singletonP(X0) ),
    inference(consistent_polarity_flipping,[],[f233]) ).

fof(f460,plain,
    ! [X0] :
      ( singletonP(X0)
      | cons(sK4(X0),nil) = X0
      | ssList(X0) ),
    inference(consistent_polarity_flipping,[],[f232]) ).

fof(f462,plain,
    ! [X0,X1] :
      ( ~ frontsegP(X0,X1)
      | ssList(X1)
      | ~ ssList(sK5(X0,X1))
      | ssList(X0) ),
    inference(consistent_polarity_flipping,[],[f236]) ).

fof(f463,plain,
    ! [X0,X1] :
      ( ~ frontsegP(X0,X1)
      | ssList(X1)
      | app(X1,sK5(X0,X1)) = X0
      | ssList(X0) ),
    inference(consistent_polarity_flipping,[],[f235]) ).

fof(f467,plain,
    ! [X0,X1] :
      ( ~ segmentP(X0,X1)
      | ssList(X1)
      | ~ ssList(sK7(X0,X1))
      | ssList(X0) ),
    inference(consistent_polarity_flipping,[],[f244]) ).

fof(f468,plain,
    ! [X0,X1] :
      ( ~ segmentP(X0,X1)
      | ssList(X1)
      | ~ ssList(sK8(X0,X1))
      | ssList(X0) ),
    inference(consistent_polarity_flipping,[],[f243]) ).

fof(f469,plain,
    ! [X0,X1] :
      ( ~ segmentP(X0,X1)
      | ssList(X1)
      | app(app(sK7(X0,X1),X1),sK8(X0,X1)) = X0
      | ssList(X0) ),
    inference(consistent_polarity_flipping,[],[f242]) ).

fof(f530,plain,
    ! [X0,X1] :
      ( ~ neq(X0,X1)
      | ssList(X1)
      | X0 = X1
      | ssList(X0) ),
    inference(consistent_polarity_flipping,[],[f303]) ).

fof(f532,plain,
    ~ ssList(nil),
    inference(consistent_polarity_flipping,[],[f306]) ).

fof(f539,plain,
    ! [X0,X1] :
      ( nil != cons(X1,X0)
      | ssItem(X1)
      | ssList(X0) ),
    inference(consistent_polarity_flipping,[],[f313]) ).

fof(f540,plain,
    ! [X0] :
      ( ~ ssItem(hd(X0))
      | nil = X0
      | ssList(X0) ),
    inference(consistent_polarity_flipping,[],[f314]) ).

fof(f541,plain,
    ! [X0,X1] :
      ( ssList(X0)
      | ssItem(X1)
      | hd(cons(X1,X0)) = X1 ),
    inference(consistent_polarity_flipping,[],[f315]) ).

fof(f542,plain,
    ! [X0] :
      ( ~ ssList(tl(X0))
      | nil = X0
      | ssList(X0) ),
    inference(consistent_polarity_flipping,[],[f316]) ).

fof(f544,plain,
    ! [X0,X1] :
      ( ~ ssList(app(X0,X1))
      | ssList(X1)
      | ssList(X0) ),
    inference(consistent_polarity_flipping,[],[f318]) ).

fof(f556,plain,
    ! [X2,X0,X1] :
      ( ~ memberP(X1,X0)
      | ssList(X1)
      | ssList(X2)
      | ssItem(X0)
      | memberP(app(X1,X2),X0) ),
    inference(consistent_polarity_flipping,[],[f332]) ).

fof(f566,plain,
    ! [X0] :
      ( frontsegP(X0,X0)
      | ssList(X0) ),
    inference(consistent_polarity_flipping,[],[f340]) ).

fof(f573,plain,
    ( ssList(nil)
    | frontsegP(nil,nil) ),
    inference(consistent_polarity_flipping,[],[f442]) ).

fof(f586,plain,
    ! [X0] :
      ( ~ segmentP(nil,X0)
      | nil = X0
      | ssList(X0) ),
    inference(consistent_polarity_flipping,[],[f361]) ).

fof(f611,plain,
    ! [X0] :
      ( ssList(X0)
      | nil = X0
      | cons(hd(X0),tl(X0)) = X0 ),
    inference(consistent_polarity_flipping,[],[f389]) ).

fof(f617,plain,
    ! [X0,X1] :
      ( nil != app(X0,X1)
      | ssList(X1)
      | nil = X1
      | ssList(X0) ),
    inference(consistent_polarity_flipping,[],[f395]) ).

fof(f633,plain,
    ~ ssList(sK49),
    inference(consistent_polarity_flipping,[],[f421]) ).

fof(f634,plain,
    ~ ssList(sK50),
    inference(consistent_polarity_flipping,[],[f422]) ).

fof(f637,plain,
    ( neq(sK50,nil)
    | ~ singletonP(sK49) ),
    inference(consistent_polarity_flipping,[],[f412]) ).

fof(f638,plain,
    ! [X4] :
      ( cons(X4,nil) != sK49
      | ~ memberP(sK50,X4)
      | ssItem(X4) ),
    inference(consistent_polarity_flipping,[],[f424]) ).

fof(f647,definition,
    ( spl51_1
  <=> singletonP(sK49) ),
    introduced(definition,[new_symbols(definition,[spl51_1])],[avatar_definition]) ).

fof(f649,plain,
    ( ~ singletonP(sK49)
    | spl51_1 ),
    inference(avatar_component_clause,[],[f647]) ).

fof(f651,definition,
    ( spl51_2
  <=> neq(sK50,nil) ),
    introduced(definition,[new_symbols(definition,[spl51_2])],[avatar_definition]) ).

fof(f653,plain,
    ( neq(sK50,nil)
    | ~ spl51_2 ),
    inference(avatar_component_clause,[],[f651]) ).

fof(f654,plain,
    ( ~ spl51_1
    | spl51_2 ),
    inference(avatar_split_clause,[],[f637,f651,f647]) ).

fof(f656,definition,
    ( spl51_3
  <=> nil = sK50 ),
    introduced(definition,[new_symbols(definition,[spl51_3])],[avatar_definition]) ).

fof(f657,plain,
    ( nil = sK50
    | ~ spl51_3 ),
    inference(avatar_component_clause,[],[f656]) ).

fof(f658,plain,
    ( nil != sK50
    | spl51_3 ),
    inference(avatar_component_clause,[],[f656]) ).

fof(f660,definition,
    ( spl51_4
  <=> nil = sK49 ),
    introduced(definition,[new_symbols(definition,[spl51_4])],[avatar_definition]) ).

fof(f662,plain,
    ( nil != sK49
    | spl51_4 ),
    inference(avatar_component_clause,[],[f660]) ).

fof(f663,plain,
    ( ~ spl51_3
    | ~ spl51_4 ),
    inference(avatar_split_clause,[],[f423,f660,f656]) ).

fof(f669,definition,
    ( spl51_6
  <=> ssList(nil) ),
    introduced(definition,[new_symbols(definition,[spl51_6])],[avatar_definition]) ).

fof(f670,plain,
    ( ~ ssList(nil)
    | spl51_6 ),
    inference(avatar_component_clause,[],[f669]) ).

fof(f694,definition,
    ( spl51_11
  <=> frontsegP(nil,nil) ),
    introduced(definition,[new_symbols(definition,[spl51_11])],[avatar_definition]) ).

fof(f696,plain,
    ( frontsegP(nil,nil)
    | ~ spl51_11 ),
    inference(avatar_component_clause,[],[f694]) ).

fof(f697,plain,
    ( spl51_11
    | spl51_6 ),
    inference(avatar_split_clause,[],[f573,f669,f694]) ).

fof(f698,plain,
    ~ spl51_6,
    inference(avatar_split_clause,[],[f532,f669]) ).

fof(f780,plain,
    ( sK49 = cons(sK4(sK49),nil)
    | ssList(sK49)
    | spl51_1 ),
    inference(resolution,[],[f460,f649]) ).

fof(f783,plain,
    ( sK49 = cons(sK4(sK49),nil)
    | spl51_1 ),
    inference(forward_subsumption_resolution,[],[f780,f633]) ).

fof(f798,plain,
    ( nil != sK49
    | ssItem(sK4(sK49))
    | ssList(nil)
    | spl51_1 ),
    inference(superposition,[],[f539,f783]) ).

fof(f804,definition,
    ( spl51_12
  <=> ssItem(sK4(sK49)) ),
    introduced(definition,[new_symbols(definition,[spl51_12])],[avatar_definition]) ).

fof(f805,plain,
    ( ~ ssItem(sK4(sK49))
    | spl51_12 ),
    inference(avatar_component_clause,[],[f804]) ).

fof(f806,plain,
    ( ssItem(sK4(sK49))
    | ~ spl51_12 ),
    inference(avatar_component_clause,[],[f804]) ).

fof(f880,plain,
    ! [X0,X1] :
      ( ssList(X1)
      | singletonP(X0)
      | ssList(X0)
      | sK4(X0) = hd(cons(sK4(X0),X1)) ),
    inference(resolution,[],[f541,f459]) ).

fof(f942,plain,
    ( ssList(sK49)
    | singletonP(sK49)
    | ~ spl51_12 ),
    inference(resolution,[],[f806,f459]) ).

fof(f943,plain,
    ( singletonP(sK49)
    | ~ spl51_12 ),
    inference(forward_subsumption_resolution,[],[f942,f633]) ).

fof(f987,plain,
    ( segmentP(nil,sK49)
    | ~ spl51_3 ),
    inference(superposition,[],[f415,f657]) ).

fof(f1025,plain,
    ( ssList(nil)
    | ~ ssList(sK5(nil,nil))
    | ssList(nil)
    | ~ spl51_11 ),
    inference(resolution,[],[f462,f696]) ).

fof(f1026,plain,
    ! [X0] :
      ( ssList(X0)
      | ~ ssList(sK5(X0,X0))
      | ssList(X0)
      | ssList(X0) ),
    inference(resolution,[],[f462,f566]) ).

fof(f1029,plain,
    ! [X0] :
      ( ~ ssList(sK5(X0,X0))
      | ssList(X0) ),
    inference(duplicate_literal_removal,[],[f1026]) ).

fof(f1030,plain,
    ( ssList(nil)
    | ~ ssList(sK5(nil,nil))
    | ~ spl51_11 ),
    inference(duplicate_literal_removal,[],[f1025]) ).

fof(f1032,plain,
    ( ~ ssList(sK5(nil,nil))
    | spl51_6
    | ~ spl51_11 ),
    inference(forward_subsumption_resolution,[],[f1030,f670]) ).

fof(f1041,plain,
    ( ssList(sK49)
    | ~ ssList(sK7(sK50,sK49))
    | ssList(sK50) ),
    inference(resolution,[],[f467,f415]) ).

fof(f1050,plain,
    ( ~ ssList(sK7(sK50,sK49))
    | ssList(sK50) ),
    inference(forward_subsumption_resolution,[],[f1041,f633]) ).

fof(f1051,plain,
    ~ ssList(sK7(sK50,sK49)),
    inference(forward_subsumption_resolution,[],[f1050,f634]) ).

fof(f1053,plain,
    ( ssList(sK49)
    | ~ ssList(sK8(sK50,sK49))
    | ssList(sK50) ),
    inference(resolution,[],[f468,f415]) ).

fof(f1062,plain,
    ( ~ ssList(sK8(sK50,sK49))
    | ssList(sK50) ),
    inference(forward_subsumption_resolution,[],[f1053,f633]) ).

fof(f1063,plain,
    ~ ssList(sK8(sK50,sK49)),
    inference(forward_subsumption_resolution,[],[f1062,f634]) ).

fof(f1121,plain,
    ( nil = sK49
    | sK49 = cons(hd(sK49),tl(sK49)) ),
    inference(resolution,[],[f611,f633]) ).

fof(f1123,plain,
    ( sK49 = cons(hd(sK49),tl(sK49))
    | spl51_4 ),
    inference(forward_subsumption_resolution,[],[f1121,f662]) ).

fof(f1127,plain,
    ( nil = sK49
    | ssList(sK49)
    | ~ spl51_3 ),
    inference(resolution,[],[f987,f586]) ).

fof(f1132,plain,
    ( ssList(sK49)
    | ~ spl51_3
    | spl51_4 ),
    inference(forward_subsumption_resolution,[],[f1127,f662]) ).

fof(f1135,plain,
    ( $false
    | ~ spl51_3
    | spl51_4 ),
    inference(forward_subsumption_resolution,[],[f1132,f633]) ).

fof(f1136,plain,
    ( ~ spl51_3
    | spl51_4 ),
    inference(avatar_contradiction_clause,[],[f1135]) ).

fof(f1403,plain,
    ( spl51_1
    | ~ spl51_12 ),
    inference(avatar_split_clause,[],[f943,f804,f647]) ).

fof(f1416,plain,
    ( ssList(nil)
    | nil = sK50
    | ssList(sK50)
    | ~ spl51_2 ),
    inference(resolution,[],[f653,f530]) ).

fof(f1419,plain,
    ( nil = sK50
    | ssList(sK50)
    | ~ spl51_2
    | spl51_6 ),
    inference(forward_subsumption_resolution,[],[f1416,f670]) ).

fof(f1429,plain,
    ( ssList(sK50)
    | ~ spl51_2
    | spl51_3
    | spl51_6 ),
    inference(forward_subsumption_resolution,[],[f1419,f658]) ).

fof(f1430,plain,
    ( $false
    | ~ spl51_2
    | spl51_3
    | spl51_6 ),
    inference(forward_subsumption_resolution,[],[f1429,f634]) ).

fof(f1431,plain,
    ( ~ spl51_2
    | spl51_3
    | spl51_6 ),
    inference(avatar_contradiction_clause,[],[f1430]) ).

fof(f1441,plain,
    ( ssList(nil)
    | nil = app(nil,sK5(nil,nil))
    | ssList(nil)
    | ~ spl51_11 ),
    inference(resolution,[],[f463,f696]) ).

fof(f1448,plain,
    ( ssList(nil)
    | nil = app(nil,sK5(nil,nil))
    | ~ spl51_11 ),
    inference(duplicate_literal_removal,[],[f1441]) ).

fof(f1451,plain,
    ( nil = app(nil,sK5(nil,nil))
    | spl51_6
    | ~ spl51_11 ),
    inference(forward_subsumption_resolution,[],[f1448,f670]) ).

fof(f2186,plain,
    ( ssList(sK49)
    | sK50 = app(app(sK7(sK50,sK49),sK49),sK8(sK50,sK49))
    | ssList(sK50) ),
    inference(resolution,[],[f469,f415]) ).

fof(f2195,plain,
    ( sK50 = app(app(sK7(sK50,sK49),sK49),sK8(sK50,sK49))
    | ssList(sK50) ),
    inference(forward_subsumption_resolution,[],[f2186,f633]) ).

fof(f2196,plain,
    sK50 = app(app(sK7(sK50,sK49),sK49),sK8(sK50,sK49)),
    inference(forward_subsumption_resolution,[],[f2195,f634]) ).

fof(f2324,plain,
    ! [X2,X3,X0,X1] :
      ( ssItem(X0)
      | ssList(X1)
      | ssList(X2)
      | ssList(app(X2,cons(X0,X1)))
      | ssList(app(X2,cons(X0,X1)))
      | ssList(X3)
      | ssItem(X0)
      | memberP(app(app(X2,cons(X0,X1)),X3),X0) ),
    inference(resolution,[],[f457,f556]) ).

fof(f2331,plain,
    ! [X2,X3,X0,X1] :
      ( memberP(app(app(X2,cons(X0,X1)),X3),X0)
      | ssList(X1)
      | ssList(X2)
      | ssList(app(X2,cons(X0,X1)))
      | ssList(X3)
      | ssItem(X0) ),
    inference(duplicate_literal_removal,[],[f2324]) ).

fof(f2573,definition,
    ( spl51_91
  <=> ssList(tl(sK49)) ),
    introduced(definition,[new_symbols(definition,[spl51_91])],[avatar_definition]) ).

fof(f2574,plain,
    ( ~ ssList(tl(sK49))
    | spl51_91 ),
    inference(avatar_component_clause,[],[f2573]) ).

fof(f2575,plain,
    ( ssList(tl(sK49))
    | ~ spl51_91 ),
    inference(avatar_component_clause,[],[f2573]) ).

fof(f2577,definition,
    ( spl51_92
  <=> ssItem(hd(sK49)) ),
    introduced(definition,[new_symbols(definition,[spl51_92])],[avatar_definition]) ).

fof(f2578,plain,
    ( ~ ssItem(hd(sK49))
    | spl51_92 ),
    inference(avatar_component_clause,[],[f2577]) ).

fof(f2579,plain,
    ( ssItem(hd(sK49))
    | ~ spl51_92 ),
    inference(avatar_component_clause,[],[f2577]) ).

fof(f2652,plain,
    ( nil = sK49
    | ssList(sK49)
    | ~ spl51_91 ),
    inference(resolution,[],[f2575,f542]) ).

fof(f2653,plain,
    ( ssList(sK49)
    | spl51_4
    | ~ spl51_91 ),
    inference(forward_subsumption_resolution,[],[f2652,f662]) ).

fof(f2654,plain,
    ( $false
    | spl51_4
    | ~ spl51_91 ),
    inference(forward_subsumption_resolution,[],[f2653,f633]) ).

fof(f2655,plain,
    ( spl51_4
    | ~ spl51_91 ),
    inference(avatar_contradiction_clause,[],[f2654]) ).

fof(f2781,plain,
    ( nil = sK49
    | ssList(sK49)
    | ~ spl51_92 ),
    inference(resolution,[],[f2579,f540]) ).

fof(f2782,plain,
    ( ssList(sK49)
    | spl51_4
    | ~ spl51_92 ),
    inference(forward_subsumption_resolution,[],[f2781,f662]) ).

fof(f2783,plain,
    ( $false
    | spl51_4
    | ~ spl51_92 ),
    inference(forward_subsumption_resolution,[],[f2782,f633]) ).

fof(f2784,plain,
    ( spl51_4
    | ~ spl51_92 ),
    inference(avatar_contradiction_clause,[],[f2783]) ).

fof(f3234,definition,
    ( spl51_171
  <=> ssList(app(sK7(sK50,sK49),sK49)) ),
    introduced(definition,[new_symbols(definition,[spl51_171])],[avatar_definition]) ).

fof(f3235,plain,
    ( ~ ssList(app(sK7(sK50,sK49),sK49))
    | spl51_171 ),
    inference(avatar_component_clause,[],[f3234]) ).

fof(f3236,plain,
    ( ssList(app(sK7(sK50,sK49),sK49))
    | ~ spl51_171 ),
    inference(avatar_component_clause,[],[f3234]) ).

fof(f4491,definition,
    ( spl51_211
  <=> nil = sK5(nil,nil) ),
    introduced(definition,[new_symbols(definition,[spl51_211])],[avatar_definition]) ).

fof(f4493,plain,
    ( nil = sK5(nil,nil)
    | ~ spl51_211 ),
    inference(avatar_component_clause,[],[f4491]) ).

fof(f5256,plain,
    ( nil != nil
    | ssList(sK5(nil,nil))
    | nil = sK5(nil,nil)
    | ssList(nil)
    | spl51_6
    | ~ spl51_11 ),
    inference(superposition,[],[f617,f1451]) ).

fof(f5259,plain,
    ( ssList(sK5(nil,nil))
    | nil = sK5(nil,nil)
    | ssList(nil)
    | spl51_6
    | ~ spl51_11 ),
    inference(trivial_inequality_removal,[],[f5256]) ).

fof(f5261,plain,
    ( nil = sK5(nil,nil)
    | ssList(nil)
    | spl51_6
    | ~ spl51_11 ),
    inference(forward_subsumption_resolution,[],[f5259,f1029]) ).

fof(f5266,plain,
    ( nil = sK5(nil,nil)
    | spl51_6
    | ~ spl51_11 ),
    inference(forward_subsumption_resolution,[],[f5261,f670]) ).

fof(f5270,plain,
    ( spl51_211
    | spl51_6
    | ~ spl51_11 ),
    inference(avatar_split_clause,[],[f5266,f694,f669,f4491]) ).

fof(f6902,plain,
    ( ssList(sK49)
    | ssList(sK7(sK50,sK49))
    | ~ spl51_171 ),
    inference(resolution,[],[f3236,f544]) ).

fof(f6903,plain,
    ( ssList(sK7(sK50,sK49))
    | ~ spl51_171 ),
    inference(forward_subsumption_resolution,[],[f6902,f633]) ).

fof(f6904,plain,
    ( $false
    | ~ spl51_171 ),
    inference(forward_subsumption_resolution,[],[f6903,f1051]) ).

fof(f6905,plain,
    ~ spl51_171,
    inference(avatar_contradiction_clause,[],[f6904]) ).

fof(f12329,plain,
    ( ! [X0] :
        ( ssList(X0)
        | ssList(sK49)
        | sK4(sK49) = hd(cons(sK4(sK49),X0)) )
    | spl51_1 ),
    inference(resolution,[],[f880,f649]) ).

fof(f12331,plain,
    ( ! [X0] :
        ( ssList(X0)
        | sK4(sK49) = hd(cons(sK4(sK49),X0)) )
    | spl51_1 ),
    inference(forward_subsumption_resolution,[],[f12329,f633]) ).

fof(f14865,definition,
    ( spl51_681
  <=> sK49 = cons(hd(sK49),nil) ),
    introduced(definition,[new_symbols(definition,[spl51_681])],[avatar_definition]) ).

fof(f14867,plain,
    ( sK49 = cons(hd(sK49),nil)
    | ~ spl51_681 ),
    inference(avatar_component_clause,[],[f14865]) ).

fof(f36500,plain,
    ( sK49 != sK49
    | ~ memberP(sK50,hd(sK49))
    | ssItem(hd(sK49))
    | ~ spl51_681 ),
    inference(superposition,[],[f638,f14867]) ).

fof(f36539,plain,
    ( ~ memberP(sK50,hd(sK49))
    | ssItem(hd(sK49))
    | ~ spl51_681 ),
    inference(trivial_inequality_removal,[],[f36500]) ).

fof(f36565,plain,
    ( ~ memberP(sK50,hd(sK49))
    | spl51_92
    | ~ spl51_681 ),
    inference(forward_subsumption_resolution,[],[f36539,f2578]) ).

fof(f66602,plain,
    ( ! [X0,X1] :
        ( memberP(app(app(X0,sK49),X1),hd(sK49))
        | ssList(tl(sK49))
        | ssList(X0)
        | ssList(app(X0,sK49))
        | ssList(X1)
        | ssItem(hd(sK49)) )
    | spl51_4 ),
    inference(superposition,[],[f2331,f1123]) ).

fof(f66626,plain,
    ( ! [X0,X1] :
        ( memberP(app(app(X0,sK49),X1),hd(sK49))
        | ssList(X0)
        | ssList(app(X0,sK49))
        | ssList(X1)
        | ssItem(hd(sK49)) )
    | spl51_4
    | spl51_91 ),
    inference(forward_subsumption_resolution,[],[f66602,f2574]) ).

fof(f66641,plain,
    ( ! [X0,X1] :
        ( memberP(app(app(X0,sK49),X1),hd(sK49))
        | ssList(X0)
        | ssList(app(X0,sK49))
        | ssList(X1) )
    | spl51_4
    | spl51_91
    | spl51_92 ),
    inference(forward_subsumption_resolution,[],[f66626,f2578]) ).

fof(f86514,plain,
    ( sK4(sK49) = hd(cons(sK4(sK49),sK5(nil,nil)))
    | spl51_1
    | spl51_6
    | ~ spl51_11 ),
    inference(resolution,[],[f12331,f1032]) ).

fof(f86576,plain,
    ( sK4(sK49) = hd(cons(sK4(sK49),nil))
    | spl51_1
    | spl51_6
    | ~ spl51_11
    | ~ spl51_211 ),
    inference(forward_demodulation,[],[f86514,f4493]) ).

fof(f86597,plain,
    ( sK4(sK49) = hd(sK49)
    | spl51_1
    | spl51_6
    | ~ spl51_11
    | ~ spl51_211 ),
    inference(forward_demodulation,[],[f86576,f783]) ).

fof(f144675,plain,
    ( nil != sK49
    | ssList(nil)
    | spl51_1
    | spl51_12 ),
    inference(forward_subsumption_resolution,[],[f798,f805]) ).

fof(f145039,plain,
    ( nil != sK49
    | spl51_1
    | spl51_6
    | spl51_12 ),
    inference(forward_subsumption_resolution,[],[f144675,f670]) ).

fof(f145192,plain,
    ( ~ spl51_4
    | spl51_1
    | spl51_6
    | spl51_12 ),
    inference(avatar_split_clause,[],[f145039,f804,f669,f647,f660]) ).

fof(f150896,definition,
    ( spl51_8203
  <=> sK4(sK49) = hd(sK49) ),
    introduced(definition,[new_symbols(definition,[spl51_8203])],[avatar_definition]) ).

fof(f150898,plain,
    ( sK4(sK49) = hd(sK49)
    | ~ spl51_8203 ),
    inference(avatar_component_clause,[],[f150896]) ).

fof(f161702,plain,
    ( spl51_8203
    | spl51_1
    | spl51_6
    | ~ spl51_11
    | ~ spl51_211 ),
    inference(avatar_split_clause,[],[f86597,f4491,f694,f669,f647,f150896]) ).

fof(f164354,plain,
    ( sK49 = cons(hd(sK49),nil)
    | spl51_1
    | ~ spl51_8203 ),
    inference(superposition,[],[f783,f150898]) ).

fof(f164367,plain,
    ( spl51_681
    | spl51_1
    | ~ spl51_8203 ),
    inference(avatar_split_clause,[],[f164354,f150896,f647,f14865]) ).

fof(f254827,plain,
    ( memberP(sK50,hd(sK49))
    | ssList(sK7(sK50,sK49))
    | ssList(app(sK7(sK50,sK49),sK49))
    | ssList(sK8(sK50,sK49))
    | spl51_4
    | spl51_91
    | spl51_92 ),
    inference(superposition,[],[f66641,f2196]) ).

fof(f254830,plain,
    ( ssList(sK7(sK50,sK49))
    | ssList(app(sK7(sK50,sK49),sK49))
    | ssList(sK8(sK50,sK49))
    | spl51_4
    | spl51_91
    | spl51_92
    | ~ spl51_681 ),
    inference(forward_subsumption_resolution,[],[f254827,f36565]) ).

fof(f254839,plain,
    ( ssList(app(sK7(sK50,sK49),sK49))
    | ssList(sK8(sK50,sK49))
    | spl51_4
    | spl51_91
    | spl51_92
    | ~ spl51_681 ),
    inference(forward_subsumption_resolution,[],[f254830,f1051]) ).

fof(f254848,plain,
    ( ssList(sK8(sK50,sK49))
    | spl51_4
    | spl51_91
    | spl51_92
    | spl51_171
    | ~ spl51_681 ),
    inference(forward_subsumption_resolution,[],[f254839,f3235]) ).

fof(f254849,plain,
    ( $false
    | spl51_4
    | spl51_91
    | spl51_92
    | spl51_171
    | ~ spl51_681 ),
    inference(forward_subsumption_resolution,[],[f254848,f1063]) ).

fof(f254850,plain,
    ( spl51_4
    | spl51_91
    | spl51_92
    | spl51_171
    | ~ spl51_681 ),
    inference(avatar_contradiction_clause,[],[f254849]) ).

cnf(s1,plain,
    ( ~ spl51_1
    | spl51_2 ),
    inference(sat_conversion,[],[f654]) ).

cnf(s2,plain,
    ( ~ spl51_3
    | ~ spl51_4 ),
    inference(sat_conversion,[],[f663]) ).

cnf(s10,plain,
    ( spl51_6
    | spl51_11 ),
    inference(sat_conversion,[],[f697]) ).

cnf(s11,plain,
    ~ spl51_6,
    inference(sat_conversion,[],[f698]) ).

cnf(s23,plain,
    ( ~ spl51_3
    | spl51_4 ),
    inference(sat_conversion,[],[f1136]) ).

cnf(s40,plain,
    ( spl51_1
    | ~ spl51_12 ),
    inference(sat_conversion,[],[f1403]) ).

cnf(s44,plain,
    ( ~ spl51_2
    | spl51_3
    | spl51_6 ),
    inference(sat_conversion,[],[f1431]) ).

cnf(s115,plain,
    ( spl51_4
    | ~ spl51_91 ),
    inference(sat_conversion,[],[f2655]) ).

cnf(s126,plain,
    ( spl51_4
    | ~ spl51_92 ),
    inference(sat_conversion,[],[f2784]) ).

cnf(s293,plain,
    ( spl51_6
    | ~ spl51_11
    | spl51_211 ),
    inference(sat_conversion,[],[f5270]) ).

cnf(s373,plain,
    ~ spl51_171,
    inference(sat_conversion,[],[f6905]) ).

cnf(s13199,plain,
    ( spl51_1
    | ~ spl51_4
    | spl51_6
    | spl51_12 ),
    inference(sat_conversion,[],[f145192]) ).

cnf(s17746,plain,
    ( spl51_1
    | spl51_6
    | ~ spl51_11
    | ~ spl51_211
    | spl51_8203 ),
    inference(sat_conversion,[],[f161702]) ).

cnf(s19120,plain,
    ( spl51_1
    | spl51_681
    | ~ spl51_8203 ),
    inference(sat_conversion,[],[f164367]) ).

cnf(s27146,plain,
    ( spl51_4
    | spl51_91
    | spl51_92
    | spl51_171
    | ~ spl51_681 ),
    inference(sat_conversion,[],[f254850]) ).

cnf(s28321,plain,
    spl51_11,
    inference(rat,[],[s10,s11]) ).

cnf(s28322,plain,
    spl51_211,
    inference(rat,[],[s293,s11,s28321]) ).

cnf(s28379,plain,
    spl51_1,
    inference(rat,[],[s27146,s115,s126,s13199,s19120,s40,s17746,s373,s11,s28322,s28321]) ).

cnf(s28380,plain,
    spl51_2,
    inference(rat,[],[s1,s28379]) ).

cnf(s28381,plain,
    spl51_3,
    inference(rat,[],[s44,s11,s28380]) ).

cnf(s28382,plain,
    spl51_4,
    inference(rat,[],[s23,s28381]) ).

cnf(s28383,plain,
    $false,
    inference(rat,[],[s2,s28382,s28381]) ).

fof(f254851,plain,
    $false,
    inference(avatar_sat_refutation,[],[s28383]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : SWC388+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.07/0.20  % Computer : n010.cluster.edu
% 0.07/0.20  % Model    : x86_64 x86_64
% 0.07/0.20  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.20  % Memory   : 8046.5625MB
% 0.07/0.20  % OS       : Linux 6.8.0-71-generic
% 0.07/0.20  % CPULimit : 300
% 0.07/0.20  % WCLimit  : 300
% 0.07/0.20  % DateTime : Mon Sep 28 09:26:17 UTC 2026
% 0.07/0.20  % CPUTime  : 
% 0.07/0.20  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.07/0.24  Running first-order model finding
% 0.07/0.24  Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 15.20/2.48  % (1796429)Will run a generic schedule for satisfiability detection.
% 15.20/2.48  % (1796436)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2974265892:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 15.20/2.48  % (1796435)% WARNING: option uhcvi not known.
% 15.20/2.48  % (1796435)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=153609258:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 15.20/2.48  % (1796434)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=153292499_2999 on theBenchmark for (2999ds/0Mi)
% 15.20/2.48  % (1796437)dis+10_1_sil=32000:sp=arity:random_seed=4141245129:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 15.20/2.48  % (1796438)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=235092152:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 15.20/2.48  % (1796439)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1160825794:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 15.20/2.48  % (1796440)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=786825763:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 15.20/2.48  % TRYING [1]
% 15.20/2.48  % TRYING [2]
% 15.20/2.48  % TRYING [3]
% 15.20/2.48  % TRYING [4]
% 15.20/2.48  % (1796437)Instruction limit reached! 
% 15.20/2.48  % (1796437)------------------------------
% 15.20/2.48  % (1796437)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.20/2.48  % (1796437)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.20/2.48  % (1796437)CaDiCaL version: 2.1.3
% 15.20/2.48  % (1796437)Termination reason: Instruction limit
% 15.20/2.48  % (1796437)Termination phase: Saturation
% 15.20/2.48  % (1796437)Time elapsed: 0.067 s
% 15.20/2.48  % (1796437)Peak memory usage: 13 MB
% 15.20/2.48  % (1796437)Instructions burned: 104 (million)
% 15.20/2.48  % (1796438)Instruction limit reached! 
% 15.20/2.48  % (1796438)------------------------------
% 15.20/2.48  % (1796438)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.20/2.48  % (1796438)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.20/2.48  % (1796438)CaDiCaL version: 2.1.3
% 15.20/2.48  % (1796438)Termination reason: Instruction limit
% 15.20/2.48  % (1796438)Termination phase: Saturation
% 15.20/2.48  % (1796438)Time elapsed: 0.068 s
% 15.20/2.48  % (1796438)Peak memory usage: 13 MB
% 15.20/2.48  % (1796438)Instructions burned: 116 (million)
% 15.20/2.48  % (1796439)Instruction limit reached! 
% 15.20/2.48  % (1796439)------------------------------
% 15.20/2.48  % (1796439)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.20/2.48  % (1796439)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.20/2.48  % (1796439)CaDiCaL version: 2.1.3
% 15.20/2.48  % (1796439)Termination reason: Instruction limit
% 15.20/2.48  % (1796439)Termination phase: Saturation
% 15.20/2.48  % (1796439)Time elapsed: 0.076 s
% 15.20/2.48  % (1796439)Peak memory usage: 14 MB
% 15.20/2.48  % (1796439)Instructions burned: 132 (million)
% 15.20/2.48  % (1796448)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=2230614270:i=714:nm=2_2998 on theBenchmark for (2998ds/714Mi)
% 15.20/2.48  % (1796449)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=2804812970:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 15.20/2.48  % TRYING [5]
% 15.20/2.48  % (1796450)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=447617982:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 15.20/2.48  % (1796440)Instruction limit reached! 
% 15.20/2.48  % (1796440)------------------------------
% 15.20/2.48  % (1796440)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.20/2.48  % (1796440)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.20/2.48  % (1796440)CaDiCaL version: 2.1.3
% 15.20/2.48  % (1796440)Termination reason: Instruction limit
% 15.20/2.48  % (1796440)Termination phase: Saturation
% 15.20/2.48  % (1796440)Time elapsed: 0.096 s
% 15.20/2.48  % (1796440)Peak memory usage: 14 MB
% 15.20/2.48  % (1796440)Instructions burned: 160 (million)
% 15.20/2.48  % TRYING [1]
% 15.20/2.48  % TRYING [2]
% 15.20/2.48  % TRYING [3]
% 15.20/2.48  % (1796454)ott-21_1_sil=16000:fs=off:random_seed=1370340987:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 15.20/2.48  % TRYING [4]
% 15.20/2.48  % (1796449)Instruction limit reached! 
% 15.20/2.48  % (1796449)------------------------------
% 15.20/2.48  % (1796449)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 47.12/7.01  % (1796449)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 47.12/7.01  % (1796449)CaDiCaL version: 2.1.3
% 47.12/7.01  % (1796449)Termination reason: Instruction limit
% 47.12/7.01  % (1796449)Termination phase: Saturation
% 47.12/7.01  % (1796449)Time elapsed: 0.073 s
% 47.12/7.01  % (1796449)Peak memory usage: 13 MB
% 47.12/7.01  % (1796449)Instructions burned: 132 (million)
% 47.12/7.01  % TRYING [5]
% 47.12/7.01  % (1796456)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=2206473408:i=477:bd=all_2997 on theBenchmark for (2997ds/477Mi)
% 47.12/7.01  % (1796454)Instruction limit reached! 
% 47.12/7.01  % (1796454)------------------------------
% 47.12/7.01  % (1796454)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 47.12/7.01  % (1796454)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 47.12/7.01  % (1796454)CaDiCaL version: 2.1.3
% 47.12/7.01  % (1796454)Termination reason: Instruction limit
% 47.12/7.01  % (1796454)Termination phase: Saturation
% 47.12/7.01  % (1796454)Time elapsed: 0.091 s
% 47.12/7.01  % (1796454)Peak memory usage: 13 MB
% 47.12/7.01  % (1796454)Instructions burned: 180 (million)
% 47.12/7.01  % TRYING [6]
% 47.12/7.01  % (1796458)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=4104239012:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 47.12/7.01  % TRYING [1]
% 47.12/7.01  % TRYING [2]
% 47.12/7.01  % TRYING [3]
% 47.12/7.01  % TRYING [4]
% 47.12/7.01  % TRYING [6]
% 47.12/7.01  % (1796448)Instruction limit reached! 
% 47.12/7.01  % (1796448)------------------------------
% 47.12/7.01  % (1796448)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 47.12/7.01  % (1796448)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 47.12/7.01  % (1796448)CaDiCaL version: 2.1.3
% 47.12/7.01  % (1796448)Termination reason: Instruction limit
% 47.12/7.01  % (1796448)Termination phase: Finite model building constraint generation
% 47.12/7.01  % (1796448)Time elapsed: 0.287 s
% 47.12/7.01  % (1796448)Peak memory usage: 27 MB
% 47.12/7.01  % (1796448)Instructions burned: 717 (million)
% 47.12/7.01  % (1796460)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=3120822374:i=1179_2995 on theBenchmark for (2995ds/1179Mi)
% 47.12/7.01  % TRYING [5]
% 47.12/7.01  % (1796450)Instruction limit reached! 
% 47.12/7.01  % (1796450)------------------------------
% 47.12/7.01  % (1796450)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 47.12/7.01  % (1796450)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 47.12/7.01  % (1796450)CaDiCaL version: 2.1.3
% 47.12/7.01  % (1796450)Termination reason: Instruction limit
% 47.12/7.01  % (1796450)Termination phase: Saturation
% 47.12/7.01  % (1796450)Time elapsed: 0.377 s
% 47.12/7.01  % (1796450)Peak memory usage: 24 MB
% 47.12/7.01  % (1796450)Instructions burned: 684 (million)
% 47.12/7.01  % (1796456)Instruction limit reached! 
% 47.12/7.01  % (1796456)------------------------------
% 47.12/7.01  % (1796456)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 47.12/7.01  % (1796456)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 47.12/7.01  % (1796456)CaDiCaL version: 2.1.3
% 47.12/7.01  % (1796456)Termination reason: Instruction limit
% 47.12/7.01  % (1796456)Termination phase: Saturation
% 47.12/7.01  % (1796456)Time elapsed: 0.313 s
% 47.12/7.01  % (1796456)Peak memory usage: 15 MB
% 47.12/7.01  % (1796456)Instructions burned: 479 (million)
% 47.12/7.01  % (1796462)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=395482795:i=889:ins=1_2994 on theBenchmark for (2994ds/889Mi)
% 47.12/7.01  % TRYING [7]
% 47.12/7.01  % (1796464)ott+1_16_sil=32000:plsq=on:plsqc=2:sas=cadical:avsql=on:sp=reverse_frequency:plsqr=128,1:bsr=unit_only:rp=on:newcnf=on:random_seed=4103974393:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2994 on theBenchmark for (2994ds/692Mi)
% 47.12/7.01  % (1796458)Instruction limit reached! 
% 47.12/7.01  % (1796458)------------------------------
% 47.12/7.01  % (1796458)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 47.12/7.01  % (1796458)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 47.12/7.01  % (1796458)CaDiCaL version: 2.1.3
% 47.12/7.01  % (1796458)Termination reason: Instruction limit
% 47.12/7.01  % (1796458)Termination phase: Finite model building SAT solving
% 47.12/7.01  % (1796458)Time elapsed: 0.342 s
% 47.12/7.01  % (1796458)Peak memory usage: 22 MB
% 47.12/7.01  % (1796458)Instructions burned: 866 (million)
% 47.12/7.01  % (1796466)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=3515901269:i=879:kws=inv_precedence:fsr=off_2993 on theBenchmark for (2993ds/879Mi)
% 47.12/7.01  % TRYING [14]
% 47.12/7.01  % (1796462)Instruction limit reached! 
% 31.99/7.52  % (1796462)------------------------------
% 31.99/7.52  % (1796462)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 31.99/7.52  % (1796462)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 31.99/7.52  % (1796462)CaDiCaL version: 2.1.3
% 31.99/7.52  % (1796462)Termination reason: Instruction limit
% 31.99/7.52  % (1796462)Termination phase: Finite model building constraint generation
% 31.99/7.52  % (1796462)Time elapsed: 0.329 s
% 31.99/7.52  % (1796462)Peak memory usage: 70 MB
% 31.99/7.52  % (1796462)Instructions burned: 891 (million)
% 31.99/7.52  % (1796468)fmb+10_1_sil=64000:random_seed=939513281:i=22061:nm=2:gsp=on_2991 on theBenchmark for (2991ds/22061Mi)
% 31.99/7.52  % TRYING [1]
% 31.99/7.52  % TRYING [2]
% 31.99/7.52  % TRYING [3]
% 31.99/7.52  % (1796464)Instruction limit reached! 
% 31.99/7.52  % (1796464)------------------------------
% 31.99/7.52  % (1796464)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 31.99/7.52  % (1796464)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 31.99/7.52  % (1796464)CaDiCaL version: 2.1.3
% 31.99/7.52  % (1796464)Termination reason: Instruction limit
% 31.99/7.52  % (1796464)Termination phase: Saturation
% 31.99/7.52  % (1796464)Time elapsed: 0.382 s
% 31.99/7.52  % (1796464)Peak memory usage: 24 MB
% 31.99/7.52  % (1796464)Instructions burned: 692 (million)
% 31.99/7.52  % (1796470)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=3231594633:i=9515:nm=5_2990 on theBenchmark for (2990ds/9515Mi)
% 31.99/7.52  % TRYING [4]
% 31.99/7.52  % TRYING [20]
% 31.99/7.52  % (1796460)Instruction limit reached! 
% 31.99/7.52  % (1796460)------------------------------
% 31.99/7.52  % (1796460)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 31.99/7.52  % (1796460)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 31.99/7.52  % (1796460)CaDiCaL version: 2.1.3
% 31.99/7.52  % (1796460)Termination reason: Instruction limit
% 31.99/7.52  % (1796460)Termination phase: Saturation
% 31.99/7.52  % (1796460)Time elapsed: 0.635 s
% 31.99/7.52  % (1796460)Peak memory usage: 29 MB
% 31.99/7.52  % (1796460)Instructions burned: 1180 (million)
% 31.99/7.52  % TRYING [5]
% 31.99/7.52  % (1796472)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=1337623456:fmbsr=1.7:i=920_2989 on theBenchmark for (2989ds/920Mi)
% 31.99/7.52  % (1796466)Instruction limit reached! 
% 31.99/7.52  % (1796466)------------------------------
% 31.99/7.52  % (1796466)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 31.99/7.52  % (1796466)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 31.99/7.52  % (1796466)CaDiCaL version: 2.1.3
% 31.99/7.52  % (1796466)Termination reason: Instruction limit
% 31.99/7.52  % (1796466)Termination phase: Saturation
% 31.99/7.52  % (1796466)Time elapsed: 0.470 s
% 31.99/7.52  % (1796466)Peak memory usage: 20 MB
% 31.99/7.52  % (1796466)Instructions burned: 879 (million)
% 31.99/7.52  % TRYING [8]
% 31.99/7.52  % (1796474)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=884650303:i=5131_2988 on theBenchmark for (2988ds/5131Mi)
% 31.99/7.52  % TRYING [8]
% 31.99/7.52  % TRYING [6]
% 31.99/7.52  % (1796472)Instruction limit reached! 
% 31.99/7.52  % (1796472)------------------------------
% 31.99/7.52  % (1796472)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 31.99/7.52  % (1796472)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 31.99/7.52  % (1796472)CaDiCaL version: 2.1.3
% 31.99/7.52  % (1796472)Termination reason: Instruction limit
% 31.99/7.52  % (1796472)Termination phase: Finite model building constraint generation
% 31.99/7.52  % (1796472)Time elapsed: 0.340 s
% 31.99/7.52  % (1796472)Peak memory usage: 70 MB
% 31.99/7.52  % (1796472)Instructions burned: 920 (million)
% 31.99/7.52  % (1796476)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=3579906622:i=1472:ins=7:fdi=8:gsp=on_2985 on theBenchmark for (2985ds/1472Mi)
% 31.99/7.52  % TRYING [7]
% 31.99/7.52  % (1796476)Instruction limit reached! 
% 31.99/7.52  % (1796476)------------------------------
% 31.99/7.52  % (1796476)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 31.99/7.52  % (1796476)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 31.99/7.52  % (1796476)CaDiCaL version: 2.1.3
% 31.99/7.52  % (1796476)Termination reason: Instruction limit
% 31.99/7.52  % (1796476)Termination phase: Saturation
% 31.99/7.52  % (1796476)Time elapsed: 0.748 s
% 31.99/7.52  % (1796476)Peak memory usage: 23 MB
% 31.99/7.52  % (1796476)Instructions burned: 1473 (million)
% 31.99/7.52  % (1796478)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=217312916:i=6324_2977 on theBenchmark for (2977ds/6324Mi)
% 31.99/7.52  % TRYING [77]
% 31.99/7.52  % TRYING [9]
% 31.99/7.52  % TRYING [8]
% 31.99/7.52  % (1796474)Instruction limit reached! 
% 31.99/7.52  % (1796474)------------------------------
% 31.99/7.52  % (1796474)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 31.99/7.52  % (1796474)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 31.99/7.52  % (1796474)CaDiCaL version: 2.1.3
% 31.99/7.52  % (1796474)Termination reason: Instruction limit
% 31.99/7.52  % (1796474)Termination phase: Saturation
% 31.99/7.52  % (1796474)Time elapsed: 2.780 s
% 31.99/7.52  % (1796474)Peak memory usage: 53 MB
% 31.99/7.52  % (1796474)Instructions burned: 5131 (million)
% 31.99/7.52  % (1796480)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=391048821:fmbsr=2.30978:i=2174_2960 on theBenchmark for (2960ds/2174Mi)
% 31.99/7.52  % TRYING [16]
% 31.99/7.52  % (1796470)Instruction limit reached! 
% 31.99/7.52  % (1796470)------------------------------
% 31.99/7.52  % (1796470)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 31.99/7.52  % (1796470)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 31.99/7.52  % (1796470)CaDiCaL version: 2.1.3
% 31.99/7.52  % (1796470)Termination reason: Instruction limit
% 31.99/7.52  % (1796470)Termination phase: Finite model building constraint generation
% 31.99/7.52  % (1796470)Time elapsed: 3.330 s
% 31.99/7.52  % (1796470)Peak memory usage: 557 MB
% 31.99/7.52  % (1796470)Instructions burned: 9515 (million)
% 31.99/7.52  % (1796482)ott-2_1_sil=16000:newcnf=on:random_seed=205439489:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2956 on theBenchmark for (2956ds/869Mi)
% 31.99/7.52  % (1796478)Instruction limit reached! 
% 31.99/7.52  % (1796478)------------------------------
% 31.99/7.52  % (1796478)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 31.99/7.52  % (1796478)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 31.99/7.52  % (1796478)CaDiCaL version: 2.1.3
% 31.99/7.52  % (1796478)Termination reason: Instruction limit
% 31.99/7.52  % (1796478)Termination phase: Finite model building constraint generation
% 31.99/7.52  % (1796478)Time elapsed: 2.376 s
% 31.99/7.52  % (1796478)Peak memory usage: 517 MB
% 31.99/7.52  % (1796478)Instructions burned: 6326 (million)
% 31.99/7.52  % (1796480)Instruction limit reached! 
% 31.99/7.52  % (1796480)------------------------------
% 31.99/7.52  % (1796480)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 31.99/7.52  % (1796480)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 31.99/7.52  % (1796480)CaDiCaL version: 2.1.3
% 31.99/7.52  % (1796480)Termination reason: Instruction limit
% 31.99/7.52  % (1796480)Termination phase: Finite model building constraint generation
% 31.99/7.52  % (1796480)Time elapsed: 0.756 s
% 31.99/7.52  % (1796480)Peak memory usage: 138 MB
% 31.99/7.52  % (1796480)Instructions burned: 2175 (million)
% 31.99/7.52  % (1796484)ott+10_1_sil=32000:tgt=ground:random_seed=1646786280:i=5114:av=off_2953 on theBenchmark for (2953ds/5114Mi)
% 31.99/7.52  % (1796486)fmb+10_1_sil=64000:sas=cadical:bce=on:rp=on:random_seed=2699133154:i=54282_2952 on theBenchmark for (2952ds/54282Mi)
% 31.99/7.52  % TRYING [1]
% 31.99/7.52  % TRYING [2]
% 31.99/7.52  % TRYING [3]
% 31.99/7.52  % TRYING [4]
% 31.99/7.52  % TRYING [5]
% 31.99/7.52  % (1796482)Instruction limit reached! 
% 31.99/7.52  % (1796482)------------------------------
% 31.99/7.52  % (1796482)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 31.99/7.52  % (1796482)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 31.99/7.52  % (1796482)CaDiCaL version: 2.1.3
% 31.99/7.52  % (1796482)Termination reason: Instruction limit
% 31.99/7.52  % (1796482)Termination phase: Saturation
% 31.99/7.52  % (1796482)Time elapsed: 0.466 s
% 31.99/7.52  % (1796482)Peak memory usage: 21 MB
% 31.99/7.52  % (1796482)Instructions burned: 869 (million)
% 31.99/7.52  % (1796488)dis-11_1_sil=16000:sp=reverse_frequency:alpa=true:random_seed=1428905165:i=3512:aac=none_2951 on theBenchmark for (2951ds/3512Mi)
% 31.99/7.52  % TRYING [6]
% 31.99/7.52  % TRYING [7]
% 31.99/7.52  % TRYING [8]
% 31.99/7.52  % TRYING [10]
% 31.99/7.52  % TRYING [9]
% 31.99/7.52  % (1796488)Instruction limit reached! 
% 31.99/7.52  % (1796488)------------------------------
% 31.99/7.52  % (1796488)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 31.99/7.52  % (1796488)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 31.99/7.52  % (1796488)CaDiCaL version: 2.1.3
% 31.99/7.52  % (1796488)Termination reason: Instruction limit
% 31.99/7.52  % (1796488)Termination phase: Saturation
% 31.99/7.52  % (1796488)Time elapsed: 1.867 s
% 31.99/7.52  % (1796488)Peak memory usage: 45 MB
% 31.99/7.52  % (1796488)Instructions burned: 3512 (million)
% 31.99/7.52  % (1796490)dis+21_1_sil=32000:sas=cadical:random_seed=2253980707:i=3773:amm=off_2932 on theBenchmark for (2932ds/3773Mi)
% 31.99/7.52  % (1796435) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1796429-1796435"...
% 31.99/7.52  % (1796435)...printing done.
% 31.99/7.52  % (1796435)Refutation found. Thanks to Tanya!
% 31.99/7.52  % SZS status Theorem for theBenchmark
% 31.99/7.52  % SZS output start Proof for theBenchmark
% See solution above
% 31.99/7.52  % (1796435)------------------------------
% 31.99/7.52  % (1796435)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 31.99/7.52  % (1796435)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 31.99/7.52  % (1796435)CaDiCaL version: 2.1.3
% 31.99/7.52  % (1796435)Termination reason: Refutation
% 31.99/7.52  % (1796435)Time elapsed: 7.168 s
% 31.99/7.52  % (1796435)Peak memory usage: 131 MB
% 31.99/7.52  % (1796435)Instructions burned: 13969 (million)
% 31.99/7.52  % (1796429)Success in time 7.272 s
% 31.99/7.52  % Vampire exiting
%------------------------------------------------------------------------------