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Vampire---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : SWC357+1 : TPTP v9.3.1. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM

% Computer : n009.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 01:03:37 PM UTC 2026

% Result   : Theorem 3.09s 1.11s
% Output   : Refutation 3.75s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   19
%            Number of leaves      :   11
% Syntax   : Number of formulae    :   81 (  18 unt;   4 def)
%            Number of atoms       :  294 (  49 equ)
%            Maximal formula atoms :   12 (   3 avg)
%            Number of connectives :  362 ( 149   ~; 136   |;  53   &)
%                                         (   8 <=>;  16  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   15 (   5 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :   10 (   8 usr;   5 prp; 0-2 aty)
%            Number of functors    :    9 (   9 usr;   5 con; 0-2 aty)
%            Number of variables   :   88 (   0 sgn  68   !;  20   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f5,axiom,
    ! [X0] :
      ( ssList(X0)
     => ! [X1] :
          ( ssList(X1)
         => ( frontsegP(X0,X1)
          <=> ? [X2] :
                ( ssList(X2)
                & app(X1,X2) = X0 ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',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/theBenchmark.p',ax7) ).

fof(f17,axiom,
    ssList(nil),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax17) ).

fof(f26,axiom,
    ! [X0] :
      ( ssList(X0)
     => ! [X1] :
          ( ssList(X1)
         => ssList(app(X0,X1)) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax26) ).

fof(f28,axiom,
    ! [X0] :
      ( ssList(X0)
     => app(nil,X0) = X0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax28) ).

fof(f57,axiom,
    ! [X0] :
      ( ssList(X0)
     => segmentP(X0,nil) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax57) ).

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

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

fof(f134,plain,
    ! [X0] :
      ( app(nil,X0) = X0
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f28]) ).

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

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

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

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(f246,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( ( segmentP(X0,X1)
              | ! [X2] :
                  ( ~ ssList(X2)
                  | ! [X3] :
                      ( ~ ssList(X3)
                      | app(app(X2,X1),X3) != X0 ) ) )
            & ( ? [X2] :
                  ( ssList(X2)
                  & ? [X3] :
                      ( ssList(X3)
                      & app(app(X2,X1),X3) = X0 ) )
              | ~ segmentP(X0,X1) ) )
          | ~ ssList(X1) )
      | ~ ssList(X0) ),
    inference(nnf_transformation,[],[f103]) ).

fof(f247,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( ( segmentP(X0,X1)
              | ! [X2] :
                  ( ~ ssList(X2)
                  | ! [X3] :
                      ( ~ ssList(X3)
                      | app(app(X2,X1),X3) != X0 ) ) )
            & ( ? [X4] :
                  ( ssList(X4)
                  & ? [X5] :
                      ( ssList(X5)
                      & app(app(X4,X1),X5) = X0 ) )
              | ~ segmentP(X0,X1) ) )
          | ~ ssList(X1) )
      | ~ ssList(X0) ),
    inference(rectify,[],[f246]) ).

fof(f248,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( ( segmentP(X0,X1)
              | ! [X2] :
                  ( ~ ssList(X2)
                  | ! [X3] :
                      ( ~ ssList(X3)
                      | app(app(X2,X1),X3) != X0 ) ) )
            & ( ( ssList(sK13(X0,X1))
                & ssList(sK14(X0,X1))
                & app(app(sK13(X0,X1),X1),sK14(X0,X1)) = X0 )
              | ~ segmentP(X0,X1) ) )
          | ~ ssList(X1) )
      | ~ ssList(X0) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK13,sK14]),skolemize(X4,sK13(X0,X1)),skolemize(X5,sK14(X0,X1))],[f247]) ).

fof(f296,plain,
    ( sK54 = sK56
    & sK53 = sK55
    & neq(sK54,nil)
    & ~ segmentP(sK54,sK53)
    & ( ( nil = sK56
        & nil = sK55 )
      | ( neq(sK55,nil)
        & frontsegP(sK56,sK55) ) )
    & 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(f309,plain,
    ! [X0,X1] :
      ( ~ frontsegP(X0,X1)
      | app(X1,sK11(X0,X1)) = X0
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f242]) ).

fof(f310,plain,
    ! [X0,X1] :
      ( ssList(sK11(X0,X1))
      | ~ frontsegP(X0,X1)
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f242]) ).

fof(f318,plain,
    ! [X2,X3,X0,X1] :
      ( segmentP(X0,X1)
      | ~ ssList(X2)
      | ~ ssList(X3)
      | app(app(X2,X1),X3) != X0
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f248]) ).

fof(f389,plain,
    ssList(nil),
    inference(cnf_transformation,[],[f17]) ).

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

fof(f403,plain,
    ! [X0] :
      ( app(nil,X0) = X0
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f134]) ).

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

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

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

fof(f500,plain,
    ( nil = sK55
    | frontsegP(sK56,sK55) ),
    inference(cnf_transformation,[],[f296]) ).

fof(f504,plain,
    ~ segmentP(sK54,sK53),
    inference(cnf_transformation,[],[f296]) ).

fof(f506,plain,
    sK53 = sK55,
    inference(cnf_transformation,[],[f296]) ).

fof(f507,plain,
    sK54 = sK56,
    inference(cnf_transformation,[],[f296]) ).

fof(f513,plain,
    ! [X2,X3,X1] :
      ( ~ ssList(app(app(X2,X1),X3))
      | ~ ssList(X2)
      | ~ ssList(X3)
      | ~ ssList(X1)
      | segmentP(app(app(X2,X1),X3),X1) ),
    inference(equality_resolution,[],[f318]) ).

fof(f543,definition,
    ( spl57_1
  <=> frontsegP(sK56,sK55) ),
    introduced(definition,[new_symbols(definition,[spl57_1])],[avatar_definition]) ).

fof(f545,plain,
    ( frontsegP(sK56,sK55)
    | ~ spl57_1 ),
    inference(avatar_component_clause,[],[f543]) ).

fof(f547,definition,
    ( spl57_2
  <=> nil = sK55 ),
    introduced(definition,[new_symbols(definition,[spl57_2])],[avatar_definition]) ).

fof(f549,plain,
    ( nil = sK55
    | ~ spl57_2 ),
    inference(avatar_component_clause,[],[f547]) ).

fof(f550,plain,
    ( spl57_1
    | spl57_2 ),
    inference(avatar_split_clause,[],[f500,f547,f543]) ).

fof(f563,definition,
    ( spl57_5
  <=> ssList(nil) ),
    introduced(definition,[new_symbols(definition,[spl57_5])],[avatar_definition]) ).

fof(f564,plain,
    ( ssList(nil)
    | ~ spl57_5 ),
    inference(avatar_component_clause,[],[f563]) ).

fof(f596,plain,
    spl57_5,
    inference(avatar_split_clause,[],[f389,f563]) ).

fof(f597,plain,
    ~ segmentP(sK54,sK55),
    inference(superposition,[],[f504,f506]) ).

fof(f600,plain,
    ~ segmentP(sK56,sK53),
    inference(superposition,[],[f504,f507]) ).

fof(f602,plain,
    ~ segmentP(sK56,sK55),
    inference(forward_demodulation,[],[f600,f506]) ).

fof(f607,plain,
    ( ~ segmentP(sK54,nil)
    | ~ spl57_2 ),
    inference(forward_demodulation,[],[f597,f549]) ).

fof(f608,plain,
    ( ~ segmentP(sK56,nil)
    | ~ spl57_2 ),
    inference(forward_demodulation,[],[f607,f507]) ).

fof(f614,plain,
    ( ~ ssList(sK56)
    | ~ spl57_2 ),
    inference(resolution,[],[f442,f608]) ).

fof(f615,plain,
    ( $false
    | ~ spl57_2 ),
    inference(forward_subsumption_resolution,[],[f614,f499]) ).

fof(f616,plain,
    ~ spl57_2,
    inference(avatar_contradiction_clause,[],[f615]) ).

fof(f827,plain,
    ( sK56 = app(sK55,sK11(sK56,sK55))
    | ~ ssList(sK55)
    | ~ ssList(sK56)
    | ~ spl57_1 ),
    inference(resolution,[],[f309,f545]) ).

fof(f832,plain,
    ( sK56 = app(sK55,sK11(sK56,sK55))
    | ~ ssList(sK56)
    | ~ spl57_1 ),
    inference(forward_subsumption_resolution,[],[f827,f498]) ).

fof(f836,plain,
    ( sK56 = app(sK55,sK11(sK56,sK55))
    | ~ spl57_1 ),
    inference(forward_subsumption_resolution,[],[f832,f499]) ).

fof(f844,definition,
    ( spl57_14
  <=> ssList(sK11(sK56,sK55)) ),
    introduced(definition,[new_symbols(definition,[spl57_14])],[avatar_definition]) ).

fof(f845,plain,
    ( ssList(sK11(sK56,sK55))
    | ~ spl57_14 ),
    inference(avatar_component_clause,[],[f844]) ).

fof(f846,plain,
    ( ~ ssList(sK11(sK56,sK55))
    | spl57_14 ),
    inference(avatar_component_clause,[],[f844]) ).

fof(f863,plain,
    ( ~ frontsegP(sK56,sK55)
    | ~ ssList(sK55)
    | ~ ssList(sK56)
    | spl57_14 ),
    inference(resolution,[],[f846,f310]) ).

fof(f864,plain,
    ( ~ ssList(sK55)
    | ~ ssList(sK56)
    | ~ spl57_1
    | spl57_14 ),
    inference(forward_subsumption_resolution,[],[f863,f545]) ).

fof(f865,plain,
    ( ~ ssList(sK56)
    | ~ spl57_1
    | spl57_14 ),
    inference(forward_subsumption_resolution,[],[f864,f498]) ).

fof(f866,plain,
    ( $false
    | ~ spl57_1
    | spl57_14 ),
    inference(forward_subsumption_resolution,[],[f865,f499]) ).

fof(f867,plain,
    ( ~ spl57_1
    | spl57_14 ),
    inference(avatar_contradiction_clause,[],[f866]) ).

fof(f1681,plain,
    ! [X0,X1] :
      ( ~ ssList(app(X0,X1))
      | ~ ssList(nil)
      | ~ ssList(X1)
      | ~ ssList(X0)
      | segmentP(app(X0,X1),X0)
      | ~ ssList(X0) ),
    inference(superposition,[],[f513,f403]) ).

fof(f1688,plain,
    ! [X0,X1] :
      ( ~ ssList(app(X0,X1))
      | ~ ssList(nil)
      | ~ ssList(X1)
      | ~ ssList(X0)
      | segmentP(app(X0,X1),X0) ),
    inference(duplicate_literal_removal,[],[f1681]) ).

fof(f1697,plain,
    ! [X0,X1] :
      ( ~ ssList(nil)
      | ~ ssList(X1)
      | ~ ssList(X0)
      | segmentP(app(X0,X1),X0) ),
    inference(forward_subsumption_resolution,[],[f1688,f401]) ).

fof(f1703,plain,
    ( ! [X0,X1] :
        ( segmentP(app(X0,X1),X0)
        | ~ ssList(X0)
        | ~ ssList(X1) )
    | ~ spl57_5 ),
    inference(forward_subsumption_resolution,[],[f1697,f564]) ).

fof(f2343,plain,
    ( segmentP(sK56,sK55)
    | ~ ssList(sK55)
    | ~ ssList(sK11(sK56,sK55))
    | ~ spl57_1
    | ~ spl57_5 ),
    inference(superposition,[],[f1703,f836]) ).

fof(f2355,plain,
    ( ~ ssList(sK55)
    | ~ ssList(sK11(sK56,sK55))
    | ~ spl57_1
    | ~ spl57_5 ),
    inference(forward_subsumption_resolution,[],[f2343,f602]) ).

fof(f2364,plain,
    ( ~ ssList(sK11(sK56,sK55))
    | ~ spl57_1
    | ~ spl57_5 ),
    inference(forward_subsumption_resolution,[],[f2355,f498]) ).

fof(f2371,plain,
    ( $false
    | ~ spl57_1
    | ~ spl57_5
    | ~ spl57_14 ),
    inference(forward_subsumption_resolution,[],[f2364,f845]) ).

fof(f2372,plain,
    ( ~ spl57_1
    | ~ spl57_5
    | ~ spl57_14 ),
    inference(avatar_contradiction_clause,[],[f2371]) ).

cnf(s1,plain,
    ( spl57_1
    | spl57_2 ),
    inference(sat_conversion,[],[f550]) ).

cnf(s13,plain,
    spl57_5,
    inference(sat_conversion,[],[f596]) ).

cnf(s17,plain,
    ~ spl57_2,
    inference(sat_conversion,[],[f616]) ).

cnf(s20,plain,
    ( ~ spl57_1
    | spl57_14 ),
    inference(sat_conversion,[],[f867]) ).

cnf(s65,plain,
    ( ~ spl57_1
    | ~ spl57_5
    | ~ spl57_14 ),
    inference(sat_conversion,[],[f2372]) ).

cnf(s72,plain,
    spl57_1,
    inference(rat,[],[s1,s17]) ).

cnf(s73,plain,
    ~ spl57_14,
    inference(rat,[],[s65,s13,s72]) ).

cnf(s74,plain,
    $false,
    inference(rat,[],[s20,s73,s72]) ).

fof(f2374,plain,
    $false,
    inference(avatar_sat_refutation,[],[s74]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : SWC357+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.18  % Computer : n009.cluster.edu
% 0.09/0.18  % Model    : x86_64 x86_64
% 0.09/0.18  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.18  % Memory   : 8046.5625MB
% 0.09/0.18  % OS       : Linux 6.8.0-71-generic
% 0.09/0.18  % CPULimit : 300
% 0.09/0.18  % WCLimit  : 300
% 0.09/0.18  % DateTime : Mon Sep 28 09:15:30 UTC 2026
% 0.09/0.18  % CPUTime  : 
% 0.09/0.18  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.22  Running first-order theorem proving
% 0.09/0.22  Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.09/1.11  % (2905740)Detected formulas, will run a generic FOF schedule.
% 3.09/1.11  % (2905748)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3977512330:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 3.09/1.11  % (2905750)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3356107084:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 3.09/1.11  % (2905749)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1169627348:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 3.09/1.11  % (2905746)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=1962472729:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 3.09/1.11  % (2905751)dis-21_1_sil=8000:lcm=predicate:random_seed=4028445200:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 3.09/1.11  % (2905745)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=3536693211:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 3.09/1.11  % (2905747)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=3804936237:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 3.09/1.11  % (2905748)Instruction limit reached! 
% 3.09/1.11  % (2905748)------------------------------
% 3.09/1.11  % (2905748)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.09/1.11  % (2905748)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.09/1.11  % (2905748)CaDiCaL version: 2.1.3
% 3.09/1.11  % (2905748)Termination reason: Instruction limit
% 3.09/1.11  % (2905748)Termination phase: Saturation
% 3.09/1.11  % (2905748)Time elapsed: 0.037 s
% 3.09/1.11  % (2905748)Peak memory usage: 89 MB
% 3.09/1.11  % (2905748)Instructions burned: 112 (million)
% 3.09/1.11  % (2905750)First to succeed.
% 3.09/1.11  % (2905750)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2905740"
% 3.09/1.11  % (2905749)Instruction limit reached! 
% 3.09/1.11  % (2905749)------------------------------
% 3.09/1.11  % (2905749)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.09/1.11  % (2905749)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.09/1.11  % (2905749)CaDiCaL version: 2.1.3
% 3.09/1.11  % (2905749)Termination reason: Instruction limit
% 3.09/1.11  % (2905749)Termination phase: Saturation
% 3.09/1.11  % (2905749)Time elapsed: 0.059 s
% 3.09/1.11  % (2905749)Peak memory usage: 88 MB
% 3.09/1.11  % (2905749)Instructions burned: 121 (million)
% 3.09/1.11  % (2905751)Instruction limit reached! 
% 3.09/1.11  % (2905751)------------------------------
% 3.09/1.11  % (2905751)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.09/1.11  % (2905751)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.09/1.11  % (2905751)CaDiCaL version: 2.1.3
% 3.09/1.11  % (2905751)Termination reason: Instruction limit
% 3.09/1.11  % (2905751)Termination phase: Saturation
% 3.09/1.11  % (2905751)Time elapsed: 0.076 s
% 3.09/1.11  % (2905751)Peak memory usage: 90 MB
% 3.09/1.11  % (2905751)Instructions burned: 130 (million)
% 3.09/1.11  % (2905759)lrs+10_1_sil=8000:sp=occurrence:random_seed=371501173:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 3.09/1.11  % (2905759)Also succeeded, but the first one will report.
% 3.09/1.11  % (2905760)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3528775765:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 3.09/1.11  % (2905761)lrs+1011_1_sil=32000:sp=occurrence:random_seed=422363492:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 3.09/1.11  % (2905760)Instruction limit reached! 
% 3.09/1.11  % (2905760)------------------------------
% 3.09/1.11  % (2905760)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.09/1.11  % (2905760)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.09/1.11  % (2905760)CaDiCaL version: 2.1.3
% 3.09/1.11  % (2905760)Termination reason: Instruction limit
% 3.09/1.11  % (2905760)Termination phase: Saturation
% 3.09/1.11  % (2905760)Time elapsed: 0.077 s
% 3.09/1.11  % (2905760)Peak memory usage: 91 MB
% 3.09/1.11  % (2905760)Instructions burned: 159 (million)
% 3.09/1.11  % (2905750)Refutation found. Thanks to Tanya!
% 3.09/1.11  % SZS status Theorem for theBenchmark
% 3.75/1.22  % SZS output start Proof for theBenchmark
% See solution above
% 3.75/1.22  % (2905750)------------------------------
% 3.75/1.22  % (2905750)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.75/1.22  % (2905750)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.75/1.22  % (2905750)CaDiCaL version: 2.1.3
% 3.75/1.22  % (2905750)Termination reason: Refutation
% 3.75/1.22  % (2905750)Time elapsed: 0.051 s
% 3.75/1.22  % (2905750)Peak memory usage: 90 MB
% 3.75/1.22  % (2905750)Instructions burned: 75 (million)
% 3.75/1.22  % (2905750)------------------------------
% 3.75/1.22  % (2905750)------------------------------
% 3.75/1.22  % (2905740)Success in time 0.452 s
% 3.75/1.22  % Vampire exiting
%------------------------------------------------------------------------------