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

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : SWC397+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 : n003.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 01:05:52 PM UTC 2026

% Result   : Theorem 7.63s 1.43s
% Output   : Refutation 7.63s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   19
%            Number of leaves      :   11
% Syntax   : Number of formulae    :   91 (  18 unt;   5 def)
%            Number of atoms       :  318 (  41 equ)
%            Maximal formula atoms :   16 (   3 avg)
%            Number of connectives :  395 ( 168   ~; 166   |;  30   &)
%                                         (   9 <=>;  22  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   18 (   5 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   11 (   9 usr;   6 prp; 0-2 aty)
%            Number of functors    :   10 (  10 usr;   8 con; 0-2 aty)
%            Number of variables   :   70 (   0 sgn  56   !;  14   ?)

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

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

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(f38,axiom,
    ! [X0] :
      ( ssItem(X0)
     => ~ memberP(nil,X0) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax38) ).

fof(f96,conjecture,
    ! [X0] :
      ( ssList(X0)
     => ! [X1] :
          ( ssList(X1)
         => ! [X2] :
              ( ssList(X2)
             => ! [X3] :
                  ( ssList(X3)
                 => ( X1 != X3
                    | X0 != X2
                    | ! [X4] :
                        ( ssItem(X4)
                       => ( ~ memberP(X0,X4)
                          | memberP(X1,X4) ) )
                    | ( nil != X2
                      & nil = X3 )
                    | ( ! [X5] :
                          ( ssItem(X5)
                         => ! [X6] :
                              ( ssList(X6)
                             => ( app(cons(X5,nil),X6) != X2
                                | app(X6,cons(X5,nil)) != X3 ) ) )
                      & neq(X3,nil) ) ) ) ) ) ),
    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
                      | ! [X4] :
                          ( ssItem(X4)
                         => ( ~ memberP(X0,X4)
                            | memberP(X1,X4) ) )
                      | ( nil != X2
                        & nil = X3 )
                      | ( ! [X5] :
                            ( ssItem(X5)
                           => ! [X6] :
                                ( ssList(X6)
                               => ( app(cons(X5,nil),X6) != X2
                                  | app(X6,cons(X5,nil)) != X3 ) ) )
                        & neq(X3,nil) ) ) ) ) ) ),
    inference(negated_conjecture,[status(cth)],[f96]) ).

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(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(f148,plain,
    ! [X0] :
      ( ~ memberP(nil,X0)
      | ~ ssItem(X0) ),
    inference(ennf_transformation,[],[f38]) ).

fof(f221,plain,
    ? [X0] :
      ( ? [X1] :
          ( ? [X2] :
              ( ? [X3] :
                  ( X1 = X3
                  & X0 = X2
                  & ? [X4] :
                      ( memberP(X0,X4)
                      & ~ memberP(X1,X4)
                      & ssItem(X4) )
                  & ( nil = X2
                    | nil != X3 )
                  & ( ? [X5] :
                        ( ? [X6] :
                            ( app(cons(X5,nil),X6) = X2
                            & app(X6,cons(X5,nil)) = X3
                            & ssList(X6) )
                        & ssItem(X5) )
                    | ~ neq(X3,nil) )
                  & ssList(X3) )
              & ssList(X2) )
          & ssList(X1) )
      & ssList(X0) ),
    inference(ennf_transformation,[],[f97]) ).

fof(f222,plain,
    ? [X0] :
      ( ? [X1] :
          ( ? [X2] :
              ( ? [X3] :
                  ( X1 = X3
                  & X0 = X2
                  & ? [X4] :
                      ( memberP(X0,X4)
                      & ~ memberP(X1,X4)
                      & ssItem(X4) )
                  & ( nil = X2
                    | nil != X3 )
                  & ( ? [X5] :
                        ( ? [X6] :
                            ( app(cons(X5,nil),X6) = X2
                            & app(X6,cons(X5,nil)) = X3
                            & ssList(X6) )
                        & ssItem(X5) )
                    | ~ neq(X3,nil) )
                  & ssList(X3) )
              & ssList(X2) )
          & ssList(X1) )
      & ssList(X0) ),
    inference(flattening,[],[f221]) ).

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

fof(f305,plain,
    ! [X0,X1] :
      ( ssList(cons(X1,X0))
      | ~ ssItem(X1)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f119]) ).

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

fof(f330,plain,
    ! [X2,X0,X1] :
      ( ~ memberP(app(X1,X2),X0)
      | ~ ssList(X1)
      | ~ ssList(X2)
      | memberP(X2,X0)
      | memberP(X1,X0)
      | ~ ssItem(X0) ),
    inference(cnf_transformation,[],[f146]) ).

fof(f331,plain,
    ! [X2,X0,X1] :
      ( memberP(app(X1,X2),X0)
      | ~ ssList(X1)
      | ~ ssList(X2)
      | ~ memberP(X2,X0)
      | ~ ssItem(X0) ),
    inference(cnf_transformation,[],[f146]) ).

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

fof(f336,plain,
    ! [X0] :
      ( ~ memberP(nil,X0)
      | ~ ssItem(X0) ),
    inference(cnf_transformation,[],[f148]) ).

fof(f411,plain,
    ( ~ neq(sK50,nil)
    | ssList(sK53) ),
    inference(cnf_transformation,[],[f222]) ).

fof(f412,plain,
    ( ~ neq(sK50,nil)
    | sK50 = app(sK53,cons(sK52,nil)) ),
    inference(cnf_transformation,[],[f222]) ).

fof(f413,plain,
    ( ~ neq(sK50,nil)
    | sK49 = app(cons(sK52,nil),sK53) ),
    inference(cnf_transformation,[],[f222]) ).

fof(f414,plain,
    ( ~ neq(sK50,nil)
    | ssItem(sK52) ),
    inference(cnf_transformation,[],[f222]) ).

fof(f415,plain,
    ssItem(sK51),
    inference(cnf_transformation,[],[f222]) ).

fof(f416,plain,
    ~ memberP(sK48,sK51),
    inference(cnf_transformation,[],[f222]) ).

fof(f417,plain,
    memberP(sK47,sK51),
    inference(cnf_transformation,[],[f222]) ).

fof(f418,plain,
    ( nil != sK50
    | nil = sK49 ),
    inference(cnf_transformation,[],[f222]) ).

fof(f419,plain,
    ssList(sK50),
    inference(cnf_transformation,[],[f222]) ).

fof(f420,plain,
    sK47 = sK49,
    inference(cnf_transformation,[],[f222]) ).

fof(f421,plain,
    sK48 = sK50,
    inference(cnf_transformation,[],[f222]) ).

fof(f427,plain,
    memberP(sK49,sK51),
    inference(definition_unfolding,[],[f417,f420]) ).

fof(f428,plain,
    ~ memberP(sK50,sK51),
    inference(definition_unfolding,[],[f416,f421]) ).

fof(f462,definition,
    ( spl54_1
  <=> ssList(sK53) ),
    introduced(definition,[new_symbols(definition,[spl54_1])],[avatar_definition]) ).

fof(f464,plain,
    ( ssList(sK53)
    | ~ spl54_1 ),
    inference(avatar_component_clause,[],[f462]) ).

fof(f466,definition,
    ( spl54_2
  <=> neq(sK50,nil) ),
    introduced(definition,[new_symbols(definition,[spl54_2])],[avatar_definition]) ).

fof(f467,plain,
    ( neq(sK50,nil)
    | ~ spl54_2 ),
    inference(avatar_component_clause,[],[f466]) ).

fof(f468,plain,
    ( ~ neq(sK50,nil)
    | spl54_2 ),
    inference(avatar_component_clause,[],[f466]) ).

fof(f469,plain,
    ( spl54_1
    | ~ spl54_2 ),
    inference(avatar_split_clause,[],[f411,f466,f462]) ).

fof(f471,definition,
    ( spl54_3
  <=> nil = sK49 ),
    introduced(definition,[new_symbols(definition,[spl54_3])],[avatar_definition]) ).

fof(f473,plain,
    ( nil = sK49
    | ~ spl54_3 ),
    inference(avatar_component_clause,[],[f471]) ).

fof(f475,definition,
    ( spl54_4
  <=> nil = sK50 ),
    introduced(definition,[new_symbols(definition,[spl54_4])],[avatar_definition]) ).

fof(f477,plain,
    ( nil != sK50
    | spl54_4 ),
    inference(avatar_component_clause,[],[f475]) ).

fof(f478,plain,
    ( spl54_3
    | ~ spl54_4 ),
    inference(avatar_split_clause,[],[f418,f475,f471]) ).

fof(f642,plain,
    ( ~ ssList(nil)
    | nil = sK50
    | ~ ssList(sK50)
    | spl54_2 ),
    inference(resolution,[],[f303,f468]) ).

fof(f647,plain,
    ( nil = sK50
    | ~ ssList(sK50)
    | spl54_2 ),
    inference(forward_subsumption_resolution,[],[f642,f306]) ).

fof(f648,plain,
    ( ~ ssList(sK50)
    | spl54_2
    | spl54_4 ),
    inference(forward_subsumption_resolution,[],[f647,f477]) ).

fof(f649,plain,
    ( $false
    | spl54_2
    | spl54_4 ),
    inference(forward_subsumption_resolution,[],[f648,f419]) ).

fof(f650,plain,
    ( spl54_2
    | spl54_4 ),
    inference(avatar_contradiction_clause,[],[f649]) ).

fof(f654,plain,
    ( ssItem(sK52)
    | ~ spl54_2 ),
    inference(forward_subsumption_resolution,[],[f414,f467]) ).

fof(f1152,definition,
    ( spl54_7
  <=> ssList(cons(sK52,nil)) ),
    introduced(definition,[new_symbols(definition,[spl54_7])],[avatar_definition]) ).

fof(f1153,plain,
    ( ssList(cons(sK52,nil))
    | ~ spl54_7 ),
    inference(avatar_component_clause,[],[f1152]) ).

fof(f1154,plain,
    ( ~ ssList(cons(sK52,nil))
    | spl54_7 ),
    inference(avatar_component_clause,[],[f1152]) ).

fof(f1301,plain,
    ( memberP(nil,sK51)
    | ~ spl54_3 ),
    inference(superposition,[],[f427,f473]) ).

fof(f1318,plain,
    ( ~ ssItem(sK51)
    | ~ spl54_3 ),
    inference(resolution,[],[f1301,f336]) ).

fof(f1319,plain,
    ( $false
    | ~ spl54_3 ),
    inference(forward_subsumption_resolution,[],[f1318,f415]) ).

fof(f1320,plain,
    ~ spl54_3,
    inference(avatar_contradiction_clause,[],[f1319]) ).

fof(f1334,plain,
    ( sK50 = app(sK53,cons(sK52,nil))
    | ~ spl54_2 ),
    inference(forward_subsumption_resolution,[],[f412,f467]) ).

fof(f1341,plain,
    ( sK49 = app(cons(sK52,nil),sK53)
    | ~ spl54_2 ),
    inference(forward_subsumption_resolution,[],[f413,f467]) ).

fof(f1444,plain,
    ( ! [X0] :
        ( memberP(sK50,X0)
        | ~ ssList(sK53)
        | ~ ssList(cons(sK52,nil))
        | ~ memberP(cons(sK52,nil),X0)
        | ~ ssItem(X0) )
    | ~ spl54_2 ),
    inference(superposition,[],[f331,f1334]) ).

fof(f1447,plain,
    ( ! [X0] :
        ( memberP(sK50,X0)
        | ~ ssList(cons(sK52,nil))
        | ~ memberP(cons(sK52,nil),X0)
        | ~ ssItem(X0) )
    | ~ spl54_1
    | ~ spl54_2 ),
    inference(forward_subsumption_resolution,[],[f1444,f464]) ).

fof(f1456,plain,
    ( ! [X0] :
        ( memberP(sK50,X0)
        | ~ ssList(sK53)
        | ~ ssList(cons(sK52,nil))
        | ~ memberP(sK53,X0)
        | ~ ssItem(X0) )
    | ~ spl54_2 ),
    inference(superposition,[],[f332,f1334]) ).

fof(f1459,plain,
    ( ! [X0] :
        ( memberP(sK50,X0)
        | ~ ssList(cons(sK52,nil))
        | ~ memberP(sK53,X0)
        | ~ ssItem(X0) )
    | ~ spl54_1
    | ~ spl54_2 ),
    inference(forward_subsumption_resolution,[],[f1456,f464]) ).

fof(f1493,plain,
    ( ~ ssItem(sK52)
    | ~ ssList(nil)
    | spl54_7 ),
    inference(resolution,[],[f1154,f305]) ).

fof(f1494,plain,
    ( ~ ssList(nil)
    | ~ spl54_2
    | spl54_7 ),
    inference(forward_subsumption_resolution,[],[f1493,f654]) ).

fof(f1495,plain,
    ( $false
    | ~ spl54_2
    | spl54_7 ),
    inference(forward_subsumption_resolution,[],[f1494,f306]) ).

fof(f1496,plain,
    ( ~ spl54_2
    | spl54_7 ),
    inference(avatar_contradiction_clause,[],[f1495]) ).

fof(f2073,plain,
    ( ! [X0] :
        ( ~ memberP(sK49,X0)
        | ~ ssList(cons(sK52,nil))
        | ~ ssList(sK53)
        | memberP(sK53,X0)
        | memberP(cons(sK52,nil),X0)
        | ~ ssItem(X0) )
    | ~ spl54_2 ),
    inference(superposition,[],[f330,f1341]) ).

fof(f2090,plain,
    ( ! [X0] :
        ( ~ memberP(sK49,X0)
        | ~ ssList(sK53)
        | memberP(sK53,X0)
        | memberP(cons(sK52,nil),X0)
        | ~ ssItem(X0) )
    | ~ spl54_2
    | ~ spl54_7 ),
    inference(forward_subsumption_resolution,[],[f2073,f1153]) ).

fof(f2094,plain,
    ( ! [X0] :
        ( memberP(cons(sK52,nil),X0)
        | memberP(sK53,X0)
        | ~ memberP(sK49,X0)
        | ~ ssItem(X0) )
    | ~ spl54_1
    | ~ spl54_2
    | ~ spl54_7 ),
    inference(forward_subsumption_resolution,[],[f2090,f464]) ).

fof(f3429,plain,
    ( ! [X0] :
        ( memberP(sK50,X0)
        | ~ memberP(sK53,X0)
        | ~ ssItem(X0) )
    | ~ spl54_1
    | ~ spl54_2
    | ~ spl54_7 ),
    inference(forward_subsumption_resolution,[],[f1459,f1153]) ).

fof(f3718,plain,
    ( ! [X0] :
        ( ~ memberP(cons(sK52,nil),X0)
        | memberP(sK50,X0)
        | ~ ssItem(X0) )
    | ~ spl54_1
    | ~ spl54_2
    | ~ spl54_7 ),
    inference(forward_subsumption_resolution,[],[f1447,f1153]) ).

fof(f3720,plain,
    ( ! [X0] :
        ( memberP(sK50,X0)
        | ~ ssItem(X0)
        | memberP(sK53,X0)
        | ~ memberP(sK49,X0)
        | ~ ssItem(X0) )
    | ~ spl54_1
    | ~ spl54_2
    | ~ spl54_7 ),
    inference(resolution,[],[f3718,f2094]) ).

fof(f3727,plain,
    ( ! [X0] :
        ( memberP(sK50,X0)
        | ~ ssItem(X0)
        | memberP(sK53,X0)
        | ~ memberP(sK49,X0) )
    | ~ spl54_1
    | ~ spl54_2
    | ~ spl54_7 ),
    inference(duplicate_literal_removal,[],[f3720]) ).

fof(f3728,plain,
    ( ! [X0] :
        ( memberP(sK50,X0)
        | ~ ssItem(X0)
        | ~ memberP(sK49,X0) )
    | ~ spl54_1
    | ~ spl54_2
    | ~ spl54_7 ),
    inference(forward_subsumption_resolution,[],[f3727,f3429]) ).

fof(f5110,plain,
    ( ~ ssItem(sK51)
    | ~ memberP(sK49,sK51)
    | ~ spl54_1
    | ~ spl54_2
    | ~ spl54_7 ),
    inference(resolution,[],[f3728,f428]) ).

fof(f5114,plain,
    ( ~ memberP(sK49,sK51)
    | ~ spl54_1
    | ~ spl54_2
    | ~ spl54_7 ),
    inference(forward_subsumption_resolution,[],[f5110,f415]) ).

fof(f5115,plain,
    ( $false
    | ~ spl54_1
    | ~ spl54_2
    | ~ spl54_7 ),
    inference(forward_subsumption_resolution,[],[f5114,f427]) ).

fof(f5116,plain,
    ( ~ spl54_1
    | ~ spl54_2
    | ~ spl54_7 ),
    inference(avatar_contradiction_clause,[],[f5115]) ).

cnf(s1,plain,
    ( spl54_1
    | ~ spl54_2 ),
    inference(sat_conversion,[],[f469]) ).

cnf(s2,plain,
    ( spl54_3
    | ~ spl54_4 ),
    inference(sat_conversion,[],[f478]) ).

cnf(s4,plain,
    ( spl54_2
    | spl54_4 ),
    inference(sat_conversion,[],[f650]) ).

cnf(s8,plain,
    ~ spl54_3,
    inference(sat_conversion,[],[f1320]) ).

cnf(s10,plain,
    ( ~ spl54_2
    | spl54_7 ),
    inference(sat_conversion,[],[f1496]) ).

cnf(s17,plain,
    ( ~ spl54_1
    | ~ spl54_2
    | ~ spl54_7 ),
    inference(sat_conversion,[],[f5116]) ).

cnf(s18,plain,
    ~ spl54_4,
    inference(rat,[],[s2,s8]) ).

cnf(s19,plain,
    spl54_2,
    inference(rat,[],[s4,s18]) ).

cnf(s20,plain,
    spl54_7,
    inference(rat,[],[s10,s19]) ).

cnf(s21,plain,
    ~ spl54_1,
    inference(rat,[],[s17,s19,s20]) ).

cnf(s22,plain,
    $false,
    inference(rat,[],[s1,s19,s21]) ).

fof(f5117,plain,
    $false,
    inference(avatar_sat_refutation,[],[s22]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SWC397+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.18  % Computer : n003.cluster.edu
% 0.08/0.18  % Model    : x86_64 x86_64
% 0.08/0.18  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.18  % Memory   : 8046.5625MB
% 0.08/0.18  % OS       : Linux 6.8.0-71-generic
% 0.08/0.18  % CPULimit : 300
% 0.08/0.18  % WCLimit  : 300
% 0.08/0.18  % DateTime : Mon Sep 28 09:28:27 UTC 2026
% 0.08/0.19  % CPUTime  : 
% 0.08/0.19  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.22  Running first-order model finding
% 0.08/0.22  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
% 7.63/1.43  % (1458084)Will run a generic schedule for satisfiability detection.
% 7.63/1.43  % (1458095)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2328045936:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 7.63/1.43  % (1458090)% WARNING: option uhcvi not known.
% 7.63/1.43  % (1458092)dis+10_1_sil=32000:sp=arity:random_seed=1723122364:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 7.63/1.43  % (1458089)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3959622533_2999 on theBenchmark for (2999ds/0Mi)
% 7.63/1.43  % (1458094)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3171383999:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 7.63/1.43  % (1458091)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2593529990:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 7.63/1.43  % (1458090)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3934604393:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 7.63/1.43  % (1458093)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=748472939:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 7.63/1.43  % TRYING [1]
% 7.63/1.43  % TRYING [2]
% 7.63/1.43  % TRYING [3]
% 7.63/1.43  % TRYING [4]
% 7.63/1.43  % (1458095)Instruction limit reached! 
% 7.63/1.43  % (1458095)------------------------------
% 7.63/1.43  % (1458095)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.63/1.43  % (1458095)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.63/1.43  % (1458095)CaDiCaL version: 2.1.3
% 7.63/1.43  % (1458095)Termination reason: Instruction limit
% 7.63/1.43  % (1458095)Termination phase: Saturation
% 7.63/1.43  % (1458095)Time elapsed: 0.054 s
% 7.63/1.43  % (1458095)Peak memory usage: 15 MB
% 7.63/1.43  % (1458095)Instructions burned: 160 (million)
% 7.63/1.43  % (1458103)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=2836293412:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 7.63/1.43  % (1458092)Instruction limit reached! 
% 7.63/1.43  % (1458092)------------------------------
% 7.63/1.43  % (1458092)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.63/1.43  % (1458092)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.63/1.43  % (1458092)CaDiCaL version: 2.1.3
% 7.63/1.43  % (1458092)Termination reason: Instruction limit
% 7.63/1.43  % (1458092)Termination phase: Saturation
% 7.63/1.43  % (1458092)Time elapsed: 0.061 s
% 7.63/1.43  % (1458092)Peak memory usage: 13 MB
% 7.63/1.43  % (1458092)Instructions burned: 103 (million)
% 7.63/1.43  % TRYING [1]
% 7.63/1.43  % TRYING [2]
% 7.63/1.43  % TRYING [3]
% 7.63/1.43  % (1458093)Instruction limit reached! 
% 7.63/1.43  % (1458093)------------------------------
% 7.63/1.43  % (1458093)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.63/1.43  % (1458093)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.63/1.43  % (1458093)CaDiCaL version: 2.1.3
% 7.63/1.43  % (1458093)Termination reason: Instruction limit
% 7.63/1.43  % (1458093)Termination phase: Saturation
% 7.63/1.43  % (1458093)Time elapsed: 0.070 s
% 7.63/1.43  % (1458093)Peak memory usage: 13 MB
% 7.63/1.43  % (1458093)Instructions burned: 117 (million)
% 7.63/1.43  % (1458094)Instruction limit reached! 
% 7.63/1.43  % (1458094)------------------------------
% 7.63/1.43  % (1458094)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.63/1.43  % (1458094)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.63/1.43  % (1458094)CaDiCaL version: 2.1.3
% 7.63/1.43  % (1458094)Termination reason: Instruction limit
% 7.63/1.43  % (1458094)Termination phase: Saturation
% 7.63/1.43  % (1458094)Time elapsed: 0.074 s
% 7.63/1.43  % (1458094)Peak memory usage: 14 MB
% 7.63/1.43  % (1458094)Instructions burned: 132 (million)
% 7.63/1.43  % TRYING [4]
% 7.63/1.43  % (1458105)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=3217315768:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 7.63/1.43  % TRYING [5]
% 7.63/1.43  % (1458106)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=3329967871:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 7.63/1.43  % (1458107)ott-21_1_sil=16000:fs=off:random_seed=2496510200:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 7.63/1.43  % TRYING [5]
% 7.63/1.43  % (1458105)Instruction limit reached! 
% 7.63/1.43  % (1458105)------------------------------
% 7.63/1.43  % (1458105)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.63/1.43  % (1458105)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.63/1.43  % (1458105)CaDiCaL version: 2.1.3
% 7.63/1.43  % (1458105)Termination reason: Instruction limit
% 7.63/1.43  % (1458105)Termination phase: Saturation
% 7.63/1.43  % (1458105)Time elapsed: 0.072 s
% 7.63/1.43  % (1458105)Peak memory usage: 13 MB
% 7.63/1.43  % (1458105)Instructions burned: 132 (million)
% 7.63/1.43  % (1458111)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=340145449:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 7.63/1.43  % (1458107)Instruction limit reached! 
% 7.63/1.43  % (1458107)------------------------------
% 7.63/1.43  % (1458107)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.63/1.43  % (1458107)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.63/1.43  % (1458107)CaDiCaL version: 2.1.3
% 7.63/1.43  % (1458107)Termination reason: Instruction limit
% 7.63/1.43  % (1458107)Termination phase: Saturation
% 7.63/1.43  % (1458107)Time elapsed: 0.090 s
% 7.63/1.43  % (1458107)Peak memory usage: 13 MB
% 7.63/1.43  % (1458107)Instructions burned: 180 (million)
% 7.63/1.43  % (1458113)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=2445299494:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 7.63/1.43  % TRYING [6]
% 7.63/1.43  % TRYING [1]
% 7.63/1.43  % TRYING [6]
% 7.63/1.43  % TRYING [2]
% 7.63/1.43  % (1458103)Instruction limit reached! 
% 7.63/1.43  % (1458103)------------------------------
% 7.63/1.43  % (1458103)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.63/1.43  % (1458103)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.63/1.43  % (1458103)CaDiCaL version: 2.1.3
% 7.63/1.43  % (1458103)Termination reason: Instruction limit
% 7.63/1.43  % (1458103)Termination phase: Finite model building constraint generation
% 7.63/1.43  % (1458103)Time elapsed: 0.166 s
% 7.63/1.43  % (1458103)Peak memory usage: 29 MB
% 7.63/1.43  % (1458103)Instructions burned: 721 (million)
% 7.63/1.43  % TRYING [3]
% 7.63/1.43  % (1458115)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=2933588427:i=1179_2997 on theBenchmark for (2997ds/1179Mi)
% 7.63/1.43  % TRYING [4]
% 7.63/1.43  % TRYING [5]
% 7.63/1.43  % (1458106)Instruction limit reached! 
% 7.63/1.43  % (1458106)------------------------------
% 7.63/1.43  % (1458106)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.63/1.43  % (1458106)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.63/1.43  % (1458106)CaDiCaL version: 2.1.3
% 7.63/1.43  % (1458106)Termination reason: Instruction limit
% 7.63/1.43  % (1458106)Termination phase: Saturation
% 7.63/1.43  % (1458106)Time elapsed: 0.366 s
% 7.63/1.43  % (1458106)Peak memory usage: 23 MB
% 7.63/1.43  % (1458106)Instructions burned: 685 (million)
% 7.63/1.43  % (1458117)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=616857368:i=889:ins=1_2994 on theBenchmark for (2994ds/889Mi)
% 7.63/1.43  % (1458111)Instruction limit reached! 
% 7.63/1.43  % (1458111)------------------------------
% 7.63/1.43  % (1458111)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.63/1.43  % (1458111)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.63/1.43  % (1458111)CaDiCaL version: 2.1.3
% 7.63/1.43  % (1458111)Termination reason: Instruction limit
% 7.63/1.43  % (1458111)Termination phase: Saturation
% 7.63/1.43  % (1458111)Time elapsed: 0.324 s
% 7.63/1.43  % (1458111)Peak memory usage: 14 MB
% 7.63/1.43  % (1458111)Instructions burned: 478 (million)
% 7.63/1.43  % TRYING [7]
% 7.63/1.43  % (1458119)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=398199347: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)
% 7.63/1.43  % (1458113)Instruction limit reached! 
% 7.63/1.43  % (1458113)------------------------------
% 7.63/1.43  % (1458113)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.63/1.43  % (1458113)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.63/1.43  % (1458113)CaDiCaL version: 2.1.3
% 7.63/1.43  % (1458113)Termination reason: Instruction limit
% 7.63/1.43  % (1458113)Termination phase: Finite model building SAT solving
% 7.63/1.43  % (1458113)Time elapsed: 0.340 s
% 7.63/1.43  % (1458113)Peak memory usage: 24 MB
% 7.63/1.43  % (1458113)Instructions burned: 866 (million)
% 7.63/1.43  % (1458121)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=4031073475:i=879:kws=inv_precedence:fsr=off_2994 on theBenchmark for (2994ds/879Mi)
% 7.63/1.43  % TRYING [14]
% 7.63/1.43  % (1458115)Instruction limit reached! 
% 7.63/1.43  % (1458115)------------------------------
% 7.63/1.43  % (1458115)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.63/1.43  % (1458115)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.63/1.43  % (1458115)CaDiCaL version: 2.1.3
% 7.63/1.43  % (1458115)Termination reason: Instruction limit
% 7.63/1.43  % (1458115)Termination phase: Saturation
% 7.63/1.43  % (1458115)Time elapsed: 0.351 s
% 7.63/1.43  % (1458115)Peak memory usage: 29 MB
% 7.63/1.43  % (1458115)Instructions burned: 1182 (million)
% 7.63/1.43  % (1458123)fmb+10_1_sil=64000:random_seed=3674537267:i=22061:nm=2:gsp=on_2993 on theBenchmark for (2993ds/22061Mi)
% 7.63/1.43  % TRYING [1]
% 7.63/1.43  % TRYING [2]
% 7.63/1.43  % TRYING [3]
% 7.63/1.43  % TRYING [4]
% 7.63/1.43  % TRYING [5]
% 7.63/1.43  % (1458117)Instruction limit reached! 
% 7.63/1.43  % (1458117)------------------------------
% 7.63/1.43  % (1458117)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.63/1.43  % (1458117)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.63/1.43  % (1458117)CaDiCaL version: 2.1.3
% 7.63/1.43  % (1458117)Termination reason: Instruction limit
% 7.63/1.43  % (1458117)Termination phase: Finite model building constraint generation
% 7.63/1.43  % (1458117)Time elapsed: 0.320 s
% 7.63/1.43  % (1458117)Peak memory usage: 70 MB
% 7.63/1.43  % (1458117)Instructions burned: 891 (million)
% 7.63/1.43  % (1458125)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=1681910753:i=9515:nm=5_2991 on theBenchmark for (2991ds/9515Mi)
% 7.63/1.43  % TRYING [20]
% 7.63/1.43  % (1458119)Instruction limit reached! 
% 7.63/1.43  % (1458119)------------------------------
% 7.63/1.43  % (1458119)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.63/1.43  % (1458119)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.63/1.43  % (1458119)CaDiCaL version: 2.1.3
% 7.63/1.43  % (1458119)Termination reason: Instruction limit
% 7.63/1.43  % (1458119)Termination phase: Saturation
% 7.63/1.43  % (1458119)Time elapsed: 0.356 s
% 7.63/1.43  % (1458119)Peak memory usage: 21 MB
% 7.63/1.43  % (1458119)Instructions burned: 693 (million)
% 7.63/1.43  % (1458127)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=1339137380:fmbsr=1.7:i=920_2990 on theBenchmark for (2990ds/920Mi)
% 7.63/1.43  % TRYING [6]
% 7.63/1.43  % TRYING [8]
% 7.63/1.43  % (1458121)Instruction limit reached! 
% 7.63/1.43  % (1458121)------------------------------
% 7.63/1.43  % (1458121)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.63/1.43  % (1458121)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.63/1.43  % (1458121)CaDiCaL version: 2.1.3
% 7.63/1.43  % (1458121)Termination reason: Instruction limit
% 7.63/1.43  % (1458121)Termination phase: Saturation
% 7.63/1.43  % (1458121)Time elapsed: 0.449 s
% 7.63/1.43  % (1458121)Peak memory usage: 20 MB
% 7.63/1.43  % (1458121)Instructions burned: 880 (million)
% 7.63/1.43  % (1458129)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=823076723:i=5131_2989 on theBenchmark for (2989ds/5131Mi)
% 7.63/1.43  % (1458129) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1458084-1458129"...
% 7.63/1.43  % (1458129)...printing done.
% 7.63/1.43  % (1458129)Refutation found. Thanks to Tanya!
% 7.63/1.43  % SZS status Theorem for theBenchmark
% 7.63/1.43  % SZS output start Proof for theBenchmark
% See solution above
% 7.63/1.44  % (1458129)------------------------------
% 7.63/1.44  % (1458129)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.63/1.44  % (1458129)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.63/1.44  % (1458129)CaDiCaL version: 2.1.3
% 7.63/1.44  % (1458129)Termination reason: Refutation
% 7.63/1.44  % (1458129)Time elapsed: 0.113 s
% 7.63/1.44  % (1458129)Peak memory usage: 15 MB
% 7.63/1.44  % (1458129)Instructions burned: 210 (million)
% 7.63/1.44  % (1458084)Success in time 1.209 s
% 7.63/1.44  % Vampire exiting
%------------------------------------------------------------------------------