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

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : SWC031+1 : TPTP v9.3.1. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT

% Computer : n017.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 01:04:22 PM UTC 2026

% Result   : Theorem 5.65s 1.40s
% Output   : Refutation 5.65s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   18
%            Number of leaves      :   23
% Syntax   : Number of formulae    :  173 (  18 unt;   9 def)
%            Number of atoms       :  631 ( 120 equ)
%            Maximal formula atoms :   17 (   3 avg)
%            Number of connectives :  785 ( 327   ~; 337   |;  73   &)
%                                         (  19 <=>;  29  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   17 (   5 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :   19 (  17 usr;  10 prp; 0-2 aty)
%            Number of functors    :   11 (  11 usr;   5 con; 0-2 aty)
%            Number of variables   :  125 (   0 sgn 107   !;  18   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f4,axiom,
    ! [X0] :
      ( ssList(X0)
     => ( singletonP(X0)
      <=> ? [X1] :
            ( ssItem(X1)
            & cons(X1,nil) = X0 ) ) ),
    file('/export/starexec/sandbox2/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/sandbox2/benchmark/Axioms/SWC001+0.ax',ax5) ).

fof(f15,axiom,
    ! [X0] :
      ( ssList(X0)
     => ! [X1] :
          ( ssList(X1)
         => ( neq(X0,X1)
          <=> X0 != X1 ) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax15) ).

fof(f16,axiom,
    ! [X0] :
      ( ssList(X0)
     => ! [X1] :
          ( ssItem(X1)
         => ssList(cons(X1,X0)) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax16) ).

fof(f22,axiom,
    ! [X0] :
      ( ssList(X0)
     => ( nil != X0
       => ssItem(hd(X0)) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax22) ).

fof(f24,axiom,
    ! [X0] :
      ( ssList(X0)
     => ( nil != X0
       => ssList(tl(X0)) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax24) ).

fof(f26,axiom,
    ! [X0] :
      ( ssList(X0)
     => ! [X1] :
          ( ssList(X1)
         => ssList(app(X0,X1)) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax26) ).

fof(f39,axiom,
    ~ singletonP(nil),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax39) ).

fof(f46,axiom,
    ! [X0] :
      ( ssList(X0)
     => ( frontsegP(nil,X0)
      <=> nil = X0 ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax46) ).

fof(f57,axiom,
    ! [X0] :
      ( ssList(X0)
     => segmentP(X0,nil) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax57) ).

fof(f67,axiom,
    ! [X0] :
      ( ssItem(X0)
     => ! [X1] :
          ( ssList(X1)
         => ( totalorderedP(cons(X0,X1))
          <=> ( nil = X1
              | ( nil != X1
                & totalorderedP(X1)
                & leq(X0,hd(X1)) ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax67) ).

fof(f78,axiom,
    ! [X0] :
      ( ssList(X0)
     => ( nil != X0
       => cons(hd(X0),tl(X0)) = X0 ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax78) ).

fof(f81,axiom,
    ! [X0] :
      ( ssList(X0)
     => ! [X1] :
          ( ssItem(X1)
         => cons(X1,X0) = app(cons(X1,nil),X0) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax81) ).

fof(f96,conjecture,
    ! [X0] :
      ( ssList(X0)
     => ! [X1] :
          ( ssList(X1)
         => ! [X2] :
              ( ssList(X2)
             => ! [X3] :
                  ( ssList(X3)
                 => ( X1 != X3
                    | X0 != X2
                    | ~ frontsegP(X3,X2)
                    | ~ totalorderedP(X2)
                    | ? [X4] :
                        ( ssList(X4)
                        & neq(X2,X4)
                        & frontsegP(X3,X4)
                        & segmentP(X4,X2)
                        & totalorderedP(X4) )
                    | ( ( nil != X1
                        | nil = X0 )
                      & ( nil != X0
                        | nil = X1 ) ) ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).

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

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

fof(f119,plain,
    ! [X0] :
      ( ! [X1] :
          ( ssList(cons(X1,X0))
          | ~ ssItem(X1) )
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f16]) ).

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

fof(f175,plain,
    ! [X0] :
      ( segmentP(X0,nil)
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f57]) ).

fof(f181,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( totalorderedP(cons(X0,X1))
          <=> ( nil = X1
              | ( nil != X1
                & totalorderedP(X1)
                & leq(X0,hd(X1)) ) ) )
          | ~ ssList(X1) )
      | ~ ssItem(X0) ),
    inference(ennf_transformation,[],[f67]) ).

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(f198,plain,
    ! [X0] :
      ( ! [X1] :
          ( cons(X1,X0) = app(cons(X1,nil),X0)
          | ~ ssItem(X1) )
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f81]) ).

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

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

fof(f237,plain,
    ! [X0] :
      ( ( ( singletonP(X0)
          | ! [X1] :
              ( ~ ssItem(X1)
              | cons(X1,nil) != X0 ) )
        & ( ? [X1] :
              ( ssItem(X1)
              & cons(X1,nil) = X0 )
          | ~ singletonP(X0) ) )
      | ~ ssList(X0) ),
    inference(nnf_transformation,[],[f100]) ).

fof(f238,plain,
    ! [X0] :
      ( ( ( singletonP(X0)
          | ! [X1] :
              ( ~ ssItem(X1)
              | cons(X1,nil) != X0 ) )
        & ( ? [X2] :
              ( ssItem(X2)
              & cons(X2,nil) = X0 )
          | ~ singletonP(X0) ) )
      | ~ ssList(X0) ),
    inference(rectify,[],[f237]) ).

fof(f239,plain,
    ! [X0] :
      ( ( ( singletonP(X0)
          | ! [X1] :
              ( ~ ssItem(X1)
              | cons(X1,nil) != X0 ) )
        & ( ( ssItem(sK10(X0))
            & cons(sK10(X0),nil) = X0 )
          | ~ singletonP(X0) ) )
      | ~ ssList(X0) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK10]),skolemize(X2,sK10(X0))],[f238]) ).

fof(f240,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( ( frontsegP(X0,X1)
              | ! [X2] :
                  ( ~ ssList(X2)
                  | app(X1,X2) != X0 ) )
            & ( ? [X2] :
                  ( ssList(X2)
                  & app(X1,X2) = X0 )
              | ~ frontsegP(X0,X1) ) )
          | ~ ssList(X1) )
      | ~ ssList(X0) ),
    inference(nnf_transformation,[],[f101]) ).

fof(f241,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( ( frontsegP(X0,X1)
              | ! [X2] :
                  ( ~ ssList(X2)
                  | app(X1,X2) != X0 ) )
            & ( ? [X3] :
                  ( ssList(X3)
                  & app(X1,X3) = X0 )
              | ~ frontsegP(X0,X1) ) )
          | ~ ssList(X1) )
      | ~ ssList(X0) ),
    inference(rectify,[],[f240]) ).

fof(f242,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( ( frontsegP(X0,X1)
              | ! [X2] :
                  ( ~ ssList(X2)
                  | app(X1,X2) != X0 ) )
            & ( ( ssList(sK11(X0,X1))
                & app(X1,sK11(X0,X1)) = X0 )
              | ~ frontsegP(X0,X1) ) )
          | ~ ssList(X1) )
      | ~ ssList(X0) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK11]),skolemize(X3,sK11(X0,X1))],[f241]) ).

fof(f273,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( ( neq(X0,X1)
              | X0 = X1 )
            & ( X0 != X1
              | ~ neq(X0,X1) ) )
          | ~ ssList(X1) )
      | ~ ssList(X0) ),
    inference(nnf_transformation,[],[f118]) ).

fof(f283,plain,
    ! [X0] :
      ( ( ( frontsegP(nil,X0)
          | nil != X0 )
        & ( nil = X0
          | ~ frontsegP(nil,X0) ) )
      | ~ ssList(X0) ),
    inference(nnf_transformation,[],[f158]) ).

fof(f286,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( ( totalorderedP(cons(X0,X1))
              | ( nil != X1
                & ( nil = X1
                  | ~ totalorderedP(X1)
                  | ~ leq(X0,hd(X1)) ) ) )
            & ( nil = X1
              | ( nil != X1
                & totalorderedP(X1)
                & leq(X0,hd(X1)) )
              | ~ totalorderedP(cons(X0,X1)) ) )
          | ~ ssList(X1) )
      | ~ ssItem(X0) ),
    inference(nnf_transformation,[],[f181]) ).

fof(f287,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( ( totalorderedP(cons(X0,X1))
              | ( nil != X1
                & ( nil = X1
                  | ~ totalorderedP(X1)
                  | ~ leq(X0,hd(X1)) ) ) )
            & ( nil = X1
              | ( nil != X1
                & totalorderedP(X1)
                & leq(X0,hd(X1)) )
              | ~ totalorderedP(cons(X0,X1)) ) )
          | ~ ssList(X1) )
      | ~ ssItem(X0) ),
    inference(flattening,[],[f286]) ).

fof(f296,plain,
    ( sK54 = sK56
    & sK53 = sK55
    & frontsegP(sK56,sK55)
    & totalorderedP(sK55)
    & ! [X4] :
        ( ~ ssList(X4)
        | ~ neq(sK55,X4)
        | ~ frontsegP(sK56,X4)
        | ~ segmentP(X4,sK55)
        | ~ totalorderedP(X4) )
    & ( ( nil = sK54
        & nil != sK53 )
      | ( nil = sK53
        & nil != sK54 ) )
    & ssList(sK56)
    & ssList(sK55)
    & ssList(sK54)
    & ssList(sK53) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK53,sK54,sK55,sK56]),skolemize(X0,sK53),skolemize(X1,sK54),skolemize(X2,sK55),skolemize(X3,sK56)],[f222]) ).

fof(f308,plain,
    ! [X0,X1] :
      ( singletonP(X0)
      | ~ ssItem(X1)
      | cons(X1,nil) != X0
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f239]) ).

fof(f311,plain,
    ! [X2,X0,X1] :
      ( frontsegP(X0,X1)
      | ~ ssList(X2)
      | app(X1,X2) != X0
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f242]) ).

fof(f387,plain,
    ! [X0,X1] :
      ( neq(X0,X1)
      | X0 = X1
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f273]) ).

fof(f388,plain,
    ! [X0,X1] :
      ( ssList(cons(X1,X0))
      | ~ ssItem(X1)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f119]) ).

fof(f397,plain,
    ! [X0] :
      ( ssItem(hd(X0))
      | nil = X0
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f127]) ).

fof(f399,plain,
    ! [X0] :
      ( ssList(tl(X0))
      | nil = X0
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f130]) ).

fof(f401,plain,
    ! [X0,X1] :
      ( ssList(app(X0,X1))
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f132]) ).

fof(f420,plain,
    ~ singletonP(nil),
    inference(cnf_transformation,[],[f39]) ).

fof(f429,plain,
    ! [X0] :
      ( ~ frontsegP(nil,X0)
      | nil = X0
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f283]) ).

fof(f442,plain,
    ! [X0] :
      ( segmentP(X0,nil)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f175]) ).

fof(f457,plain,
    ! [X0,X1] :
      ( totalorderedP(cons(X0,X1))
      | nil != X1
      | ~ ssList(X1)
      | ~ ssItem(X0) ),
    inference(cnf_transformation,[],[f287]) ).

fof(f474,plain,
    ! [X0] :
      ( ~ ssList(X0)
      | nil = X0
      | cons(hd(X0),tl(X0)) = X0 ),
    inference(cnf_transformation,[],[f193]) ).

fof(f477,plain,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | ~ ssItem(X1)
      | cons(X1,X0) = app(cons(X1,nil),X0) ),
    inference(cnf_transformation,[],[f198]) ).

fof(f498,plain,
    ssList(sK55),
    inference(cnf_transformation,[],[f296]) ).

fof(f499,plain,
    ssList(sK56),
    inference(cnf_transformation,[],[f296]) ).

fof(f500,plain,
    ( nil != sK53
    | nil != sK54 ),
    inference(cnf_transformation,[],[f296]) ).

fof(f503,plain,
    ( nil = sK54
    | nil = sK53 ),
    inference(cnf_transformation,[],[f296]) ).

fof(f504,plain,
    ! [X4] :
      ( ~ ssList(X4)
      | ~ neq(sK55,X4)
      | ~ frontsegP(sK56,X4)
      | ~ segmentP(X4,sK55)
      | ~ totalorderedP(X4) ),
    inference(cnf_transformation,[],[f296]) ).

fof(f506,plain,
    frontsegP(sK56,sK55),
    inference(cnf_transformation,[],[f296]) ).

fof(f507,plain,
    sK53 = sK55,
    inference(cnf_transformation,[],[f296]) ).

fof(f508,plain,
    sK54 = sK56,
    inference(cnf_transformation,[],[f296]) ).

fof(f509,plain,
    ( nil = sK56
    | nil = sK55 ),
    inference(definition_unfolding,[],[f503,f508,f507]) ).

fof(f512,plain,
    ( nil != sK55
    | nil != sK56 ),
    inference(definition_unfolding,[],[f500,f507,f508]) ).

fof(f517,plain,
    ! [X1] :
      ( ~ ssList(cons(X1,nil))
      | ~ ssItem(X1)
      | singletonP(cons(X1,nil)) ),
    inference(equality_resolution,[],[f308]) ).

fof(f518,plain,
    ! [X2,X1] :
      ( frontsegP(app(X1,X2),X1)
      | ~ ssList(X2)
      | ~ ssList(X1)
      | ~ ssList(app(X1,X2)) ),
    inference(equality_resolution,[],[f311]) ).

fof(f535,plain,
    ! [X0] :
      ( totalorderedP(cons(X0,nil))
      | ~ ssList(nil)
      | ~ ssItem(X0) ),
    inference(equality_resolution,[],[f457]) ).

fof(f550,definition,
    ( spl57_1
  <=> nil = sK55 ),
    introduced(definition,[new_symbols(definition,[spl57_1])],[avatar_definition]) ).

fof(f551,plain,
    ( nil != sK55
    | spl57_1 ),
    inference(avatar_component_clause,[],[f550]) ).

fof(f552,plain,
    ( nil = sK55
    | ~ spl57_1 ),
    inference(avatar_component_clause,[],[f550]) ).

fof(f554,definition,
    ( spl57_2
  <=> nil = sK56 ),
    introduced(definition,[new_symbols(definition,[spl57_2])],[avatar_definition]) ).

fof(f555,plain,
    ( nil != sK56
    | spl57_2 ),
    inference(avatar_component_clause,[],[f554]) ).

fof(f556,plain,
    ( nil = sK56
    | ~ spl57_2 ),
    inference(avatar_component_clause,[],[f554]) ).

fof(f557,plain,
    ( spl57_1
    | spl57_2 ),
    inference(avatar_split_clause,[],[f509,f554,f550]) ).

fof(f558,plain,
    ( frontsegP(nil,sK55)
    | ~ spl57_2 ),
    inference(backward_demodulation,[],[f506,f556]) ).

fof(f560,plain,
    ( nil != sK55
    | ~ spl57_2 ),
    inference(forward_subsumption_resolution,[],[f512,f556]) ).

fof(f561,plain,
    ( ~ spl57_1
    | ~ spl57_2 ),
    inference(avatar_split_clause,[],[f560,f554,f550]) ).

fof(f588,plain,
    ( ssList(nil)
    | ~ spl57_1 ),
    inference(backward_demodulation,[],[f498,f552]) ).

fof(f880,plain,
    ( nil = sK55
    | ~ ssList(sK55)
    | ~ spl57_2 ),
    inference(resolution,[],[f429,f558]) ).

fof(f883,plain,
    ( ~ ssList(sK55)
    | spl57_1
    | ~ spl57_2 ),
    inference(forward_subsumption_resolution,[],[f880,f551]) ).

fof(f884,plain,
    ( $false
    | spl57_1
    | ~ spl57_2 ),
    inference(forward_subsumption_resolution,[],[f883,f498]) ).

fof(f885,plain,
    ( spl57_1
    | ~ spl57_2 ),
    inference(avatar_contradiction_clause,[],[f884]) ).

fof(f1002,plain,
    ( ! [X0] :
        ( totalorderedP(cons(X0,nil))
        | ~ ssItem(X0) )
    | ~ spl57_1 ),
    inference(forward_subsumption_resolution,[],[f535,f588]) ).

fof(f1024,plain,
    ( ! [X4] :
        ( ~ neq(nil,X4)
        | ~ ssList(X4)
        | ~ frontsegP(sK56,X4)
        | ~ segmentP(X4,sK55)
        | ~ totalorderedP(X4) )
    | ~ spl57_1 ),
    inference(forward_demodulation,[],[f504,f552]) ).

fof(f1025,plain,
    ( ! [X4] :
        ( ~ segmentP(X4,nil)
        | ~ neq(nil,X4)
        | ~ ssList(X4)
        | ~ frontsegP(sK56,X4)
        | ~ totalorderedP(X4) )
    | ~ spl57_1 ),
    inference(forward_demodulation,[],[f1024,f552]) ).

fof(f1381,plain,
    ( ! [X4] :
        ( ~ frontsegP(sK56,X4)
        | ~ ssList(X4)
        | ~ neq(nil,X4)
        | ~ totalorderedP(X4) )
    | ~ spl57_1 ),
    inference(forward_subsumption_resolution,[],[f1025,f442]) ).

fof(f3297,plain,
    ! [X0] :
      ( ~ ssItem(X0)
      | singletonP(cons(X0,nil))
      | ~ ssItem(X0)
      | ~ ssList(nil) ),
    inference(resolution,[],[f517,f388]) ).

fof(f3298,plain,
    ! [X0] :
      ( ~ ssItem(X0)
      | singletonP(cons(X0,nil))
      | ~ ssList(nil) ),
    inference(duplicate_literal_removal,[],[f3297]) ).

fof(f3299,plain,
    ( ! [X0] :
        ( singletonP(cons(X0,nil))
        | ~ ssItem(X0) )
    | ~ spl57_1 ),
    inference(forward_subsumption_resolution,[],[f3298,f588]) ).

fof(f5281,plain,
    ( nil = sK56
    | sK56 = cons(hd(sK56),tl(sK56)) ),
    inference(resolution,[],[f474,f499]) ).

fof(f6043,plain,
    ( sK56 = cons(hd(sK56),tl(sK56))
    | spl57_2 ),
    inference(forward_subsumption_resolution,[],[f5281,f555]) ).

fof(f6623,plain,
    ! [X2,X1] :
      ( frontsegP(app(X1,X2),X1)
      | ~ ssList(X2)
      | ~ ssList(X1) ),
    inference(forward_subsumption_resolution,[],[f518,f401]) ).

fof(f6716,definition,
    ( spl57_168
  <=> ssList(tl(sK56)) ),
    introduced(definition,[new_symbols(definition,[spl57_168])],[avatar_definition]) ).

fof(f6717,plain,
    ( ssList(tl(sK56))
    | ~ spl57_168 ),
    inference(avatar_component_clause,[],[f6716]) ).

fof(f6718,plain,
    ( ~ ssList(tl(sK56))
    | spl57_168 ),
    inference(avatar_component_clause,[],[f6716]) ).

fof(f6720,definition,
    ( spl57_169
  <=> frontsegP(sK56,cons(hd(sK56),nil)) ),
    introduced(definition,[new_symbols(definition,[spl57_169])],[avatar_definition]) ).

fof(f6721,plain,
    ( ~ frontsegP(sK56,cons(hd(sK56),nil))
    | spl57_169 ),
    inference(avatar_component_clause,[],[f6720]) ).

fof(f6722,plain,
    ( frontsegP(sK56,cons(hd(sK56),nil))
    | ~ spl57_169 ),
    inference(avatar_component_clause,[],[f6720]) ).

fof(f6724,plain,
    ( nil = sK56
    | ~ ssList(sK56)
    | spl57_168 ),
    inference(resolution,[],[f6718,f399]) ).

fof(f6725,plain,
    ( ~ ssList(sK56)
    | spl57_2
    | spl57_168 ),
    inference(forward_subsumption_resolution,[],[f6724,f555]) ).

fof(f6726,plain,
    ( $false
    | spl57_2
    | spl57_168 ),
    inference(forward_subsumption_resolution,[],[f6725,f499]) ).

fof(f6727,plain,
    ( spl57_2
    | spl57_168 ),
    inference(avatar_contradiction_clause,[],[f6726]) ).

fof(f7335,definition,
    ( spl57_181
  <=> ssItem(hd(sK56)) ),
    introduced(definition,[new_symbols(definition,[spl57_181])],[avatar_definition]) ).

fof(f7336,plain,
    ( ssItem(hd(sK56))
    | ~ spl57_181 ),
    inference(avatar_component_clause,[],[f7335]) ).

fof(f7337,plain,
    ( ~ ssItem(hd(sK56))
    | spl57_181 ),
    inference(avatar_component_clause,[],[f7335]) ).

fof(f7689,plain,
    ( ! [X0] :
        ( ~ ssItem(X0)
        | cons(X0,tl(sK56)) = app(cons(X0,nil),tl(sK56)) )
    | ~ spl57_168 ),
    inference(resolution,[],[f477,f6717]) ).

fof(f8265,plain,
    ( nil = sK56
    | ~ ssList(sK56)
    | spl57_181 ),
    inference(resolution,[],[f7337,f397]) ).

fof(f8266,plain,
    ( ~ ssList(sK56)
    | spl57_2
    | spl57_181 ),
    inference(forward_subsumption_resolution,[],[f8265,f555]) ).

fof(f8267,plain,
    ( $false
    | spl57_2
    | spl57_181 ),
    inference(forward_subsumption_resolution,[],[f8266,f499]) ).

fof(f8268,plain,
    ( spl57_2
    | spl57_181 ),
    inference(avatar_contradiction_clause,[],[f8267]) ).

fof(f8269,plain,
    ( cons(hd(sK56),tl(sK56)) = app(cons(hd(sK56),nil),tl(sK56))
    | ~ spl57_168
    | ~ spl57_181 ),
    inference(resolution,[],[f7336,f7689]) ).

fof(f8270,plain,
    ( sK56 = app(cons(hd(sK56),nil),tl(sK56))
    | spl57_2
    | ~ spl57_168
    | ~ spl57_181 ),
    inference(forward_demodulation,[],[f8269,f6043]) ).

fof(f8310,plain,
    ( frontsegP(sK56,cons(hd(sK56),nil))
    | ~ ssList(tl(sK56))
    | ~ ssList(cons(hd(sK56),nil))
    | spl57_2
    | ~ spl57_168
    | ~ spl57_181 ),
    inference(superposition,[],[f6623,f8270]) ).

fof(f8312,plain,
    ( ~ ssList(tl(sK56))
    | ~ ssList(cons(hd(sK56),nil))
    | spl57_2
    | ~ spl57_168
    | spl57_169
    | ~ spl57_181 ),
    inference(forward_subsumption_resolution,[],[f8310,f6721]) ).

fof(f8313,plain,
    ( ~ ssList(cons(hd(sK56),nil))
    | spl57_2
    | ~ spl57_168
    | spl57_169
    | ~ spl57_181 ),
    inference(forward_subsumption_resolution,[],[f8312,f6717]) ).

fof(f8483,definition,
    ( spl57_196
  <=> totalorderedP(cons(hd(sK56),nil)) ),
    introduced(definition,[new_symbols(definition,[spl57_196])],[avatar_definition]) ).

fof(f8484,plain,
    ( totalorderedP(cons(hd(sK56),nil))
    | ~ spl57_196 ),
    inference(avatar_component_clause,[],[f8483]) ).

fof(f8485,plain,
    ( ~ totalorderedP(cons(hd(sK56),nil))
    | spl57_196 ),
    inference(avatar_component_clause,[],[f8483]) ).

fof(f8487,definition,
    ( spl57_197
  <=> neq(nil,cons(hd(sK56),nil)) ),
    introduced(definition,[new_symbols(definition,[spl57_197])],[avatar_definition]) ).

fof(f8488,plain,
    ( neq(nil,cons(hd(sK56),nil))
    | ~ spl57_197 ),
    inference(avatar_component_clause,[],[f8487]) ).

fof(f8489,plain,
    ( ~ neq(nil,cons(hd(sK56),nil))
    | spl57_197 ),
    inference(avatar_component_clause,[],[f8487]) ).

fof(f8491,plain,
    ( ~ ssItem(hd(sK56))
    | ~ spl57_1
    | spl57_196 ),
    inference(resolution,[],[f8485,f1002]) ).

fof(f8492,plain,
    ( $false
    | ~ spl57_1
    | ~ spl57_181
    | spl57_196 ),
    inference(forward_subsumption_resolution,[],[f8491,f7336]) ).

fof(f8493,plain,
    ( ~ spl57_1
    | ~ spl57_181
    | spl57_196 ),
    inference(avatar_contradiction_clause,[],[f8492]) ).

fof(f8550,plain,
    ( ~ ssList(cons(hd(sK56),nil))
    | ~ neq(nil,cons(hd(sK56),nil))
    | ~ totalorderedP(cons(hd(sK56),nil))
    | ~ spl57_1
    | ~ spl57_169 ),
    inference(resolution,[],[f6722,f1381]) ).

fof(f8582,plain,
    ( ~ ssList(cons(hd(sK56),nil))
    | ~ totalorderedP(cons(hd(sK56),nil))
    | ~ spl57_1
    | ~ spl57_169
    | ~ spl57_197 ),
    inference(forward_subsumption_resolution,[],[f8550,f8488]) ).

fof(f8583,plain,
    ( ~ ssList(cons(hd(sK56),nil))
    | ~ spl57_1
    | ~ spl57_169
    | ~ spl57_196
    | ~ spl57_197 ),
    inference(forward_subsumption_resolution,[],[f8582,f8484]) ).

fof(f8584,plain,
    ( ~ ssItem(hd(sK56))
    | ~ ssList(nil)
    | ~ spl57_1
    | ~ spl57_169
    | ~ spl57_196
    | ~ spl57_197 ),
    inference(resolution,[],[f8583,f388]) ).

fof(f8585,plain,
    ( ~ ssList(nil)
    | ~ spl57_1
    | ~ spl57_169
    | ~ spl57_181
    | ~ spl57_196
    | ~ spl57_197 ),
    inference(forward_subsumption_resolution,[],[f8584,f7336]) ).

fof(f8586,plain,
    ( $false
    | ~ spl57_1
    | ~ spl57_169
    | ~ spl57_181
    | ~ spl57_196
    | ~ spl57_197 ),
    inference(forward_subsumption_resolution,[],[f8585,f588]) ).

fof(f8587,plain,
    ( ~ spl57_1
    | ~ spl57_169
    | ~ spl57_181
    | ~ spl57_196
    | ~ spl57_197 ),
    inference(avatar_contradiction_clause,[],[f8586]) ).

fof(f8589,plain,
    ( nil = cons(hd(sK56),nil)
    | ~ ssList(cons(hd(sK56),nil))
    | ~ ssList(nil)
    | spl57_197 ),
    inference(resolution,[],[f8489,f387]) ).

fof(f8592,plain,
    ( nil = cons(hd(sK56),nil)
    | ~ ssList(cons(hd(sK56),nil))
    | ~ spl57_1
    | spl57_197 ),
    inference(forward_subsumption_resolution,[],[f8589,f588]) ).

fof(f8883,definition,
    ( spl57_206
  <=> ssList(cons(hd(sK56),nil)) ),
    introduced(definition,[new_symbols(definition,[spl57_206])],[avatar_definition]) ).

fof(f8884,plain,
    ( ssList(cons(hd(sK56),nil))
    | ~ spl57_206 ),
    inference(avatar_component_clause,[],[f8883]) ).

fof(f8885,plain,
    ( ~ ssList(cons(hd(sK56),nil))
    | spl57_206 ),
    inference(avatar_component_clause,[],[f8883]) ).

fof(f8887,definition,
    ( spl57_207
  <=> nil = cons(hd(sK56),nil) ),
    introduced(definition,[new_symbols(definition,[spl57_207])],[avatar_definition]) ).

fof(f8889,plain,
    ( nil = cons(hd(sK56),nil)
    | ~ spl57_207 ),
    inference(avatar_component_clause,[],[f8887]) ).

fof(f8890,plain,
    ( ~ spl57_206
    | spl57_207
    | ~ spl57_1
    | spl57_197 ),
    inference(avatar_split_clause,[],[f8592,f8487,f550,f8887,f8883]) ).

fof(f8895,plain,
    ( ~ ssItem(hd(sK56))
    | ~ ssList(nil)
    | spl57_206 ),
    inference(resolution,[],[f8885,f388]) ).

fof(f8896,plain,
    ( ~ ssList(nil)
    | ~ spl57_181
    | spl57_206 ),
    inference(forward_subsumption_resolution,[],[f8895,f7336]) ).

fof(f8899,plain,
    ( $false
    | ~ spl57_1
    | ~ spl57_181
    | spl57_206 ),
    inference(forward_subsumption_resolution,[],[f8896,f588]) ).

fof(f8900,plain,
    ( ~ spl57_1
    | ~ spl57_181
    | spl57_206 ),
    inference(avatar_contradiction_clause,[],[f8899]) ).

fof(f8907,plain,
    ( singletonP(nil)
    | ~ ssItem(hd(sK56))
    | ~ spl57_1
    | ~ spl57_207 ),
    inference(superposition,[],[f3299,f8889]) ).

fof(f8927,plain,
    ( ~ ssItem(hd(sK56))
    | ~ spl57_1
    | ~ spl57_207 ),
    inference(forward_subsumption_resolution,[],[f8907,f420]) ).

fof(f8929,plain,
    ( $false
    | ~ spl57_1
    | ~ spl57_181
    | ~ spl57_207 ),
    inference(forward_subsumption_resolution,[],[f8927,f7336]) ).

fof(f8930,plain,
    ( ~ spl57_1
    | ~ spl57_181
    | ~ spl57_207 ),
    inference(avatar_contradiction_clause,[],[f8929]) ).

fof(f8940,plain,
    ( $false
    | spl57_2
    | ~ spl57_168
    | spl57_169
    | ~ spl57_181
    | ~ spl57_206 ),
    inference(forward_subsumption_resolution,[],[f8313,f8884]) ).

fof(f8941,plain,
    ( spl57_2
    | ~ spl57_168
    | spl57_169
    | ~ spl57_181
    | ~ spl57_206 ),
    inference(avatar_contradiction_clause,[],[f8940]) ).

cnf(s1,plain,
    ( spl57_1
    | spl57_2 ),
    inference(sat_conversion,[],[f557]) ).

cnf(s2,plain,
    ( ~ spl57_1
    | ~ spl57_2 ),
    inference(sat_conversion,[],[f561]) ).

cnf(s17,plain,
    ( spl57_1
    | ~ spl57_2 ),
    inference(sat_conversion,[],[f885]) ).

cnf(s695,plain,
    ( spl57_2
    | spl57_168 ),
    inference(sat_conversion,[],[f6727]) ).

cnf(s739,plain,
    ( spl57_2
    | spl57_181 ),
    inference(sat_conversion,[],[f8268]) ).

cnf(s760,plain,
    ( ~ spl57_1
    | ~ spl57_181
    | spl57_196 ),
    inference(sat_conversion,[],[f8493]) ).

cnf(s770,plain,
    ( ~ spl57_1
    | ~ spl57_169
    | ~ spl57_181
    | ~ spl57_196
    | ~ spl57_197 ),
    inference(sat_conversion,[],[f8587]) ).

cnf(s798,plain,
    ( ~ spl57_1
    | spl57_197
    | ~ spl57_206
    | spl57_207 ),
    inference(sat_conversion,[],[f8890]) ).

cnf(s800,plain,
    ( ~ spl57_1
    | ~ spl57_181
    | spl57_206 ),
    inference(sat_conversion,[],[f8900]) ).

cnf(s804,plain,
    ( ~ spl57_1
    | ~ spl57_181
    | ~ spl57_207 ),
    inference(sat_conversion,[],[f8930]) ).

cnf(s806,plain,
    ( spl57_2
    | ~ spl57_168
    | spl57_169
    | ~ spl57_181
    | ~ spl57_206 ),
    inference(sat_conversion,[],[f8941]) ).

cnf(s811,plain,
    spl57_1,
    inference(rat,[],[s1,s17]) ).

cnf(s829,plain,
    ~ spl57_2,
    inference(rat,[],[s2,s811]) ).

cnf(s832,plain,
    spl57_181,
    inference(rat,[],[s739,s829]) ).

cnf(s833,plain,
    spl57_168,
    inference(rat,[],[s695,s829]) ).

cnf(s839,plain,
    ~ spl57_207,
    inference(rat,[],[s804,s811,s832]) ).

cnf(s840,plain,
    spl57_206,
    inference(rat,[],[s800,s811,s832]) ).

cnf(s841,plain,
    spl57_196,
    inference(rat,[],[s760,s811,s832]) ).

cnf(s842,plain,
    spl57_169,
    inference(rat,[],[s806,s840,s832,s829,s833]) ).

cnf(s846,plain,
    spl57_197,
    inference(rat,[],[s798,s839,s811,s840]) ).

cnf(s847,plain,
    $false,
    inference(rat,[],[s770,s832,s841,s811,s846,s842]) ).

fof(f8942,plain,
    $false,
    inference(avatar_sat_refutation,[],[s847]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04  % Problem  : SWC031+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.08  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.19/0.46  % Computer : n017.cluster.edu
% 0.19/0.46  % Model    : x86_64 x86_64
% 0.19/0.46  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/0.46  % Memory   : 8046.5625MB
% 0.19/0.46  % OS       : Linux 6.8.0-71-generic
% 0.19/0.46  % CPULimit : 300
% 0.19/0.46  % WCLimit  : 300
% 0.19/0.46  % DateTime : Mon Sep 28 07:27:06 UTC 2026
% 0.19/0.46  % CPUTime  : 
% 0.19/0.46  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.22/0.51  Running first-order model finding
% 0.22/0.52  Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 5.65/1.40  % (3375630)Will run a generic schedule for satisfiability detection.
% 5.65/1.40  % (3375637)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1522796366:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 5.65/1.40  % (3375636)% WARNING: option uhcvi not known.
% 5.65/1.40  % (3375635)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3283823004_2999 on theBenchmark for (2999ds/0Mi)
% 5.65/1.40  % (3375636)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=4177008223:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 5.65/1.40  % (3375638)dis+10_1_sil=32000:sp=arity:random_seed=1779993450:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 5.65/1.40  % (3375639)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3844262718:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 5.65/1.40  % (3375640)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=103463455:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 5.65/1.40  % (3375641)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2859119036:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 5.65/1.40  % TRYING [1]
% 5.65/1.40  % TRYING [2]
% 5.65/1.40  % TRYING [3]
% 5.65/1.40  % TRYING [4]
% 5.65/1.40  % (3375638)Instruction limit reached! 
% 5.65/1.40  % (3375638)------------------------------
% 5.65/1.40  % (3375638)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.65/1.40  % (3375638)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.65/1.40  % (3375638)CaDiCaL version: 2.1.3
% 5.65/1.40  % (3375638)Termination reason: Instruction limit
% 5.65/1.40  % (3375638)Termination phase: Saturation
% 5.65/1.40  % (3375638)Time elapsed: 0.107 s
% 5.65/1.40  % (3375638)Peak memory usage: 13 MB
% 5.65/1.40  % (3375638)Instructions burned: 104 (million)
% 5.65/1.40  % (3375639)Instruction limit reached! 
% 5.65/1.40  % (3375639)------------------------------
% 5.65/1.40  % (3375639)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.65/1.40  % (3375639)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.65/1.40  % (3375639)CaDiCaL version: 2.1.3
% 5.65/1.40  % (3375639)Termination reason: Instruction limit
% 5.65/1.40  % (3375639)Termination phase: Saturation
% 5.65/1.40  % (3375639)Time elapsed: 0.119 s
% 5.65/1.40  % (3375639)Peak memory usage: 13 MB
% 5.65/1.40  % (3375639)Instructions burned: 116 (million)
% 5.65/1.40  % (3375640)Instruction limit reached! 
% 5.65/1.40  % (3375640)------------------------------
% 5.65/1.40  % (3375640)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.65/1.40  % (3375640)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.65/1.40  % (3375640)CaDiCaL version: 2.1.3
% 5.65/1.40  % (3375640)Termination reason: Instruction limit
% 5.65/1.40  % (3375640)Termination phase: Saturation
% 5.65/1.40  % (3375640)Time elapsed: 0.132 s
% 5.65/1.40  % (3375640)Peak memory usage: 14 MB
% 5.65/1.40  % (3375640)Instructions burned: 131 (million)
% 5.65/1.40  % (3375649)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=3916453119:i=714:nm=2_2998 on theBenchmark for (2998ds/714Mi)
% 5.65/1.40  % (3375650)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=3648665626:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 5.65/1.40  % TRYING [5]
% 5.65/1.40  % (3375651)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=571166151:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 5.65/1.40  % TRYING [1]
% 5.65/1.40  % TRYING [2]
% 5.65/1.40  % (3375641)Instruction limit reached! 
% 5.65/1.40  % (3375641)------------------------------
% 5.65/1.40  % (3375641)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.65/1.40  % (3375641)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.65/1.40  % (3375641)CaDiCaL version: 2.1.3
% 5.65/1.40  % (3375641)Termination reason: Instruction limit
% 5.65/1.40  % (3375641)Termination phase: Saturation
% 5.65/1.40  % (3375641)Time elapsed: 0.174 s
% 5.65/1.40  % (3375641)Peak memory usage: 14 MB
% 5.65/1.40  % (3375641)Instructions burned: 159 (million)
% 5.65/1.40  % TRYING [3]
% 5.65/1.40  % TRYING [4]
% 5.65/1.40  % (3375656)ott-21_1_sil=16000:fs=off:random_seed=483461166:i=180:av=off:fsr=off_2997 on theBenchmark for (2997ds/180Mi)
% 5.65/1.40  % (3375650)Instruction limit reached! 
% 5.65/1.40  % (3375650)------------------------------
% 5.65/1.40  % (3375650)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.65/1.40  % (3375650)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.65/1.40  % (3375650)CaDiCaL version: 2.1.3
% 5.65/1.40  % (3375650)Termination reason: Instruction limit
% 5.65/1.40  % (3375650)Termination phase: Saturation
% 5.65/1.40  % (3375650)Time elapsed: 0.132 s
% 5.65/1.40  % (3375650)Peak memory usage: 13 MB
% 5.65/1.40  % (3375650)Instructions burned: 131 (million)
% 5.65/1.40  % TRYING [5]
% 5.65/1.40  % (3375658)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=2144894450:i=477:bd=all_2996 on theBenchmark for (2996ds/477Mi)
% 5.65/1.40  % (3375656)Instruction limit reached! 
% 5.65/1.40  % (3375656)------------------------------
% 5.65/1.40  % (3375656)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.65/1.40  % (3375656)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.65/1.40  % (3375656)CaDiCaL version: 2.1.3
% 5.65/1.40  % (3375656)Termination reason: Instruction limit
% 5.65/1.40  % (3375656)Termination phase: Saturation
% 5.65/1.40  % (3375656)Time elapsed: 0.165 s
% 5.65/1.40  % (3375656)Peak memory usage: 13 MB
% 5.65/1.40  % (3375656)Instructions burned: 180 (million)
% 5.65/1.40  % TRYING [6]
% 5.65/1.40  % (3375660)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=3497273121:fmbsr=1.3:i=865:ins=25_2995 on theBenchmark for (2995ds/865Mi)
% 5.65/1.40  % TRYING [1]
% 5.65/1.40  % TRYING [2]
% 5.65/1.40  % TRYING [3]
% 5.65/1.40  % TRYING [4]
% 5.65/1.40  % TRYING [6]
% 5.65/1.40  % (3375649)Instruction limit reached! 
% 5.65/1.40  % (3375649)------------------------------
% 5.65/1.40  % (3375649)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.65/1.40  % (3375649)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.65/1.40  % (3375649)CaDiCaL version: 2.1.3
% 5.65/1.40  % (3375649)Termination reason: Instruction limit
% 5.65/1.40  % (3375649)Termination phase: Finite model building constraint generation
% 5.65/1.40  % (3375649)Time elapsed: 0.543 s
% 5.65/1.40  % (3375649)Peak memory usage: 28 MB
% 5.65/1.40  % (3375649)Instructions burned: 715 (million)
% 5.65/1.40  % TRYING [5]
% 5.65/1.40  % (3375662)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=2920780311:i=1179_2992 on theBenchmark for (2992ds/1179Mi)
% 5.65/1.40  % (3375651)Instruction limit reached! 
% 5.65/1.40  % (3375651)------------------------------
% 5.65/1.40  % (3375651)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.65/1.40  % (3375651)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.65/1.40  % (3375651)CaDiCaL version: 2.1.3
% 5.65/1.40  % (3375651)Termination reason: Instruction limit
% 5.65/1.40  % (3375651)Termination phase: Saturation
% 5.65/1.40  % (3375651)Time elapsed: 0.639 s
% 5.65/1.40  % (3375651)Peak memory usage: 22 MB
% 5.65/1.40  % (3375651)Instructions burned: 684 (million)
% 5.65/1.40  % (3375658) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3375630-3375658"...
% 5.65/1.40  % (3375658)...printing done.
% 5.65/1.40  % (3375658)Refutation found. Thanks to Tanya!
% 5.65/1.40  % SZS status Theorem for theBenchmark
% 5.65/1.40  % SZS output start Proof for theBenchmark
% See solution above
% 5.65/1.40  % (3375658)------------------------------
% 5.65/1.40  % (3375658)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.65/1.40  % (3375658)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.65/1.40  % (3375658)CaDiCaL version: 2.1.3
% 5.65/1.40  % (3375658)Termination reason: Refutation
% 5.65/1.40  % (3375658)Time elapsed: 0.509 s
% 5.65/1.40  % (3375658)Peak memory usage: 15 MB
% 5.65/1.40  % (3375658)Instructions burned: 449 (million)
% 5.65/1.40  % (3375630)Success in time 0.872 s
% 5.65/1.40  % Vampire exiting
%------------------------------------------------------------------------------