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Vampire---5.0.1.UNS-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : KRS117+1 : TPTP v9.3.1. Released v3.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM

% Computer : n008.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 11:41:41 AM UTC 2026

% Result   : Unsatisfiable 2.65s 1.26s
% Output   : Refutation 3.45s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   21
%            Number of leaves      :   12
% Syntax   : Number of formulae    :   85 (  15 unt;   1 def)
%            Number of atoms       :  277 (  12 equ)
%            Maximal formula atoms :   12 (   3 avg)
%            Number of connectives :  321 ( 129   ~; 116   |;  60   &)
%                                         (  11 <=>;   5  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   5 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   15 (  13 usr;   2 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   1 con; 0-1 aty)
%            Number of variables   :  135 (   0 sgn 113   !;  22   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f20,axiom,
    ! [X0] :
      ( cowlThing(X0)
      & ~ cowlNothing(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_0) ).

fof(f22,axiom,
    ! [X0] :
      ( cUnsatisfiable(X0)
    <=> ( ccxcomp(X0)
        & ! [X1] :
            ( rinvR(X0,X1)
           => ca_Vx3(X1) )
        & ? [X1] :
            ( rinvF(X0,X1)
            & cd(X1) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_2) ).

fof(f23,axiom,
    ! [X0] :
      ( cc(X0)
    <=> ~ ? [X1] : ra_Px1(X0,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_3) ).

fof(f24,axiom,
    ! [X0] :
      ( ccxcomp(X0)
    <=> ? [X1] : ra_Px1(X0,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_4) ).

fof(f25,axiom,
    ! [X0] :
      ( cd(X0)
    <=> ( ? [X1] :
            ( rf(X0,X1)
            & ccxcomp(X1) )
        & cc(X0) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_5) ).

fof(f26,axiom,
    ! [X0] :
      ( ca_Vx3(X0)
    <=> ? [X1] :
          ( rinvF(X0,X1)
          & cd(X1) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_6) ).

fof(f27,axiom,
    ! [X0] :
      ( cowlThing(X0)
     => ! [X1,X2] :
          ( ( rf(X0,X1)
            & rf(X0,X2) )
         => X1 = X2 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_7) ).

fof(f28,axiom,
    ! [X0,X1] :
      ( rinvF(X0,X1)
    <=> rf(X1,X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_8) ).

fof(f29,axiom,
    ! [X0,X1] :
      ( rinvR(X0,X1)
    <=> rr(X1,X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_9) ).

fof(f31,axiom,
    cUnsatisfiable(i2003_11_14_17_21_37349),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_11) ).

fof(f32,axiom,
    ! [X0,X1] :
      ( rf(X0,X1)
     => rr(X0,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_12) ).

fof(f33,plain,
    ! [X0] :
      ( cUnsatisfiable(X0)
    <=> ( ccxcomp(X0)
        & ! [X1] :
            ( rinvR(X0,X1)
           => ca_Vx3(X1) )
        & ? [X2] :
            ( rinvF(X0,X2)
            & cd(X2) ) ) ),
    inference(rectify,[],[f22]) ).

fof(f72,plain,
    ! [X0] :
      ( cUnsatisfiable(X0)
    <=> ( ccxcomp(X0)
        & ! [X1] :
            ( ca_Vx3(X1)
            | ~ rinvR(X0,X1) )
        & ? [X2] :
            ( rinvF(X0,X2)
            & cd(X2) ) ) ),
    inference(ennf_transformation,[],[f33]) ).

fof(f73,plain,
    ! [X0] :
      ( cc(X0)
    <=> ! [X1] : ~ ra_Px1(X0,X1) ),
    inference(ennf_transformation,[],[f23]) ).

fof(f74,plain,
    ! [X0] :
      ( ! [X1,X2] :
          ( X1 = X2
          | ~ rf(X0,X1)
          | ~ rf(X0,X2) )
      | ~ cowlThing(X0) ),
    inference(ennf_transformation,[],[f27]) ).

fof(f75,plain,
    ! [X0] :
      ( ! [X1,X2] :
          ( X1 = X2
          | ~ rf(X0,X1)
          | ~ rf(X0,X2) )
      | ~ cowlThing(X0) ),
    inference(flattening,[],[f74]) ).

fof(f78,plain,
    ! [X0,X1] :
      ( rr(X0,X1)
      | ~ rf(X0,X1) ),
    inference(ennf_transformation,[],[f32]) ).

fof(f80,plain,
    ! [X0] :
      ( ( cUnsatisfiable(X0)
        | ~ ccxcomp(X0)
        | ? [X1] :
            ( ~ ca_Vx3(X1)
            & rinvR(X0,X1) )
        | ! [X2] :
            ( ~ rinvF(X0,X2)
            | ~ cd(X2) ) )
      & ( ( ccxcomp(X0)
          & ! [X1] :
              ( ca_Vx3(X1)
              | ~ rinvR(X0,X1) )
          & ? [X2] :
              ( rinvF(X0,X2)
              & cd(X2) ) )
        | ~ cUnsatisfiable(X0) ) ),
    inference(nnf_transformation,[],[f72]) ).

fof(f81,plain,
    ! [X0] :
      ( ( cUnsatisfiable(X0)
        | ~ ccxcomp(X0)
        | ? [X1] :
            ( ~ ca_Vx3(X1)
            & rinvR(X0,X1) )
        | ! [X2] :
            ( ~ rinvF(X0,X2)
            | ~ cd(X2) ) )
      & ( ( ccxcomp(X0)
          & ! [X1] :
              ( ca_Vx3(X1)
              | ~ rinvR(X0,X1) )
          & ? [X2] :
              ( rinvF(X0,X2)
              & cd(X2) ) )
        | ~ cUnsatisfiable(X0) ) ),
    inference(flattening,[],[f80]) ).

fof(f82,plain,
    ! [X0] :
      ( ( cUnsatisfiable(X0)
        | ~ ccxcomp(X0)
        | ? [X1] :
            ( ~ ca_Vx3(X1)
            & rinvR(X0,X1) )
        | ! [X2] :
            ( ~ rinvF(X0,X2)
            | ~ cd(X2) ) )
      & ( ( ccxcomp(X0)
          & ! [X3] :
              ( ca_Vx3(X3)
              | ~ rinvR(X0,X3) )
          & ? [X4] :
              ( rinvF(X0,X4)
              & cd(X4) ) )
        | ~ cUnsatisfiable(X0) ) ),
    inference(rectify,[],[f81]) ).

fof(f83,plain,
    ! [X0] :
      ( ( cUnsatisfiable(X0)
        | ~ ccxcomp(X0)
        | ( ~ ca_Vx3(sK0(X0))
          & rinvR(X0,sK0(X0)) )
        | ! [X2] :
            ( ~ rinvF(X0,X2)
            | ~ cd(X2) ) )
      & ( ( ccxcomp(X0)
          & ! [X3] :
              ( ca_Vx3(X3)
              | ~ rinvR(X0,X3) )
          & rinvF(X0,sK1(X0))
          & cd(sK1(X0)) )
        | ~ cUnsatisfiable(X0) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1]),skolemize(X1,sK0(X0)),skolemize(X4,sK1(X0))],[f82]) ).

fof(f84,plain,
    ! [X0] :
      ( ( cc(X0)
        | ? [X1] : ra_Px1(X0,X1) )
      & ( ! [X1] : ~ ra_Px1(X0,X1)
        | ~ cc(X0) ) ),
    inference(nnf_transformation,[],[f73]) ).

fof(f85,plain,
    ! [X0] :
      ( ( cc(X0)
        | ? [X1] : ra_Px1(X0,X1) )
      & ( ! [X2] : ~ ra_Px1(X0,X2)
        | ~ cc(X0) ) ),
    inference(rectify,[],[f84]) ).

fof(f86,plain,
    ! [X0] :
      ( ( cc(X0)
        | ra_Px1(X0,sK2(X0)) )
      & ( ! [X2] : ~ ra_Px1(X0,X2)
        | ~ cc(X0) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK2]),skolemize(X1,sK2(X0))],[f85]) ).

fof(f87,plain,
    ! [X0] :
      ( ( ccxcomp(X0)
        | ! [X1] : ~ ra_Px1(X0,X1) )
      & ( ? [X1] : ra_Px1(X0,X1)
        | ~ ccxcomp(X0) ) ),
    inference(nnf_transformation,[],[f24]) ).

fof(f88,plain,
    ! [X0] :
      ( ( ccxcomp(X0)
        | ! [X1] : ~ ra_Px1(X0,X1) )
      & ( ? [X2] : ra_Px1(X0,X2)
        | ~ ccxcomp(X0) ) ),
    inference(rectify,[],[f87]) ).

fof(f89,plain,
    ! [X0] :
      ( ( ccxcomp(X0)
        | ! [X1] : ~ ra_Px1(X0,X1) )
      & ( ra_Px1(X0,sK3(X0))
        | ~ ccxcomp(X0) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK3]),skolemize(X2,sK3(X0))],[f88]) ).

fof(f90,plain,
    ! [X0] :
      ( ( cd(X0)
        | ! [X1] :
            ( ~ rf(X0,X1)
            | ~ ccxcomp(X1) )
        | ~ cc(X0) )
      & ( ( ? [X1] :
              ( rf(X0,X1)
              & ccxcomp(X1) )
          & cc(X0) )
        | ~ cd(X0) ) ),
    inference(nnf_transformation,[],[f25]) ).

fof(f91,plain,
    ! [X0] :
      ( ( cd(X0)
        | ! [X1] :
            ( ~ rf(X0,X1)
            | ~ ccxcomp(X1) )
        | ~ cc(X0) )
      & ( ( ? [X1] :
              ( rf(X0,X1)
              & ccxcomp(X1) )
          & cc(X0) )
        | ~ cd(X0) ) ),
    inference(flattening,[],[f90]) ).

fof(f92,plain,
    ! [X0] :
      ( ( cd(X0)
        | ! [X1] :
            ( ~ rf(X0,X1)
            | ~ ccxcomp(X1) )
        | ~ cc(X0) )
      & ( ( ? [X2] :
              ( rf(X0,X2)
              & ccxcomp(X2) )
          & cc(X0) )
        | ~ cd(X0) ) ),
    inference(rectify,[],[f91]) ).

fof(f93,plain,
    ! [X0] :
      ( ( cd(X0)
        | ! [X1] :
            ( ~ rf(X0,X1)
            | ~ ccxcomp(X1) )
        | ~ cc(X0) )
      & ( ( rf(X0,sK4(X0))
          & ccxcomp(sK4(X0))
          & cc(X0) )
        | ~ cd(X0) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK4]),skolemize(X2,sK4(X0))],[f92]) ).

fof(f94,plain,
    ! [X0] :
      ( ( ca_Vx3(X0)
        | ! [X1] :
            ( ~ rinvF(X0,X1)
            | ~ cd(X1) ) )
      & ( ? [X1] :
            ( rinvF(X0,X1)
            & cd(X1) )
        | ~ ca_Vx3(X0) ) ),
    inference(nnf_transformation,[],[f26]) ).

fof(f95,plain,
    ! [X0] :
      ( ( ca_Vx3(X0)
        | ! [X1] :
            ( ~ rinvF(X0,X1)
            | ~ cd(X1) ) )
      & ( ? [X2] :
            ( rinvF(X0,X2)
            & cd(X2) )
        | ~ ca_Vx3(X0) ) ),
    inference(rectify,[],[f94]) ).

fof(f96,plain,
    ! [X0] :
      ( ( ca_Vx3(X0)
        | ! [X1] :
            ( ~ rinvF(X0,X1)
            | ~ cd(X1) ) )
      & ( ( rinvF(X0,sK5(X0))
          & cd(sK5(X0)) )
        | ~ ca_Vx3(X0) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK5]),skolemize(X2,sK5(X0))],[f95]) ).

fof(f97,plain,
    ! [X0,X1] :
      ( ( rinvF(X0,X1)
        | ~ rf(X1,X0) )
      & ( rf(X1,X0)
        | ~ rinvF(X0,X1) ) ),
    inference(nnf_transformation,[],[f28]) ).

fof(f98,plain,
    ! [X0,X1] :
      ( ( rinvR(X0,X1)
        | ~ rr(X1,X0) )
      & ( rr(X1,X0)
        | ~ rinvR(X0,X1) ) ),
    inference(nnf_transformation,[],[f29]) ).

fof(f119,plain,
    ! [X0] : cowlThing(X0),
    inference(cnf_transformation,[],[f20]) ).

fof(f122,plain,
    ! [X0] :
      ( cd(sK1(X0))
      | ~ cUnsatisfiable(X0) ),
    inference(cnf_transformation,[],[f83]) ).

fof(f123,plain,
    ! [X0] :
      ( rinvF(X0,sK1(X0))
      | ~ cUnsatisfiable(X0) ),
    inference(cnf_transformation,[],[f83]) ).

fof(f124,plain,
    ! [X3,X0] :
      ( ca_Vx3(X3)
      | ~ rinvR(X0,X3)
      | ~ cUnsatisfiable(X0) ),
    inference(cnf_transformation,[],[f83]) ).

fof(f128,plain,
    ! [X2,X0] :
      ( ~ cc(X0)
      | ~ ra_Px1(X0,X2) ),
    inference(cnf_transformation,[],[f86]) ).

fof(f130,plain,
    ! [X0] :
      ( ra_Px1(X0,sK3(X0))
      | ~ ccxcomp(X0) ),
    inference(cnf_transformation,[],[f89]) ).

fof(f132,plain,
    ! [X0] :
      ( ~ cd(X0)
      | cc(X0) ),
    inference(cnf_transformation,[],[f93]) ).

fof(f133,plain,
    ! [X0] :
      ( ccxcomp(sK4(X0))
      | ~ cd(X0) ),
    inference(cnf_transformation,[],[f93]) ).

fof(f134,plain,
    ! [X0] :
      ( rf(X0,sK4(X0))
      | ~ cd(X0) ),
    inference(cnf_transformation,[],[f93]) ).

fof(f136,plain,
    ! [X0] :
      ( ~ ca_Vx3(X0)
      | cd(sK5(X0)) ),
    inference(cnf_transformation,[],[f96]) ).

fof(f137,plain,
    ! [X0] :
      ( rinvF(X0,sK5(X0))
      | ~ ca_Vx3(X0) ),
    inference(cnf_transformation,[],[f96]) ).

fof(f139,plain,
    ! [X2,X0,X1] :
      ( X1 = X2
      | ~ rf(X0,X1)
      | ~ rf(X0,X2)
      | ~ cowlThing(X0) ),
    inference(cnf_transformation,[],[f75]) ).

fof(f140,plain,
    ! [X0,X1] :
      ( rf(X1,X0)
      | ~ rinvF(X0,X1) ),
    inference(cnf_transformation,[],[f97]) ).

fof(f143,plain,
    ! [X0,X1] :
      ( rinvR(X0,X1)
      | ~ rr(X1,X0) ),
    inference(cnf_transformation,[],[f98]) ).

fof(f145,plain,
    cUnsatisfiable(i2003_11_14_17_21_37349),
    inference(cnf_transformation,[],[f31]) ).

fof(f146,plain,
    ! [X0,X1] :
      ( rr(X0,X1)
      | ~ rf(X0,X1) ),
    inference(cnf_transformation,[],[f78]) ).

fof(f166,plain,
    ! [X0] :
      ( cc(sK1(X0))
      | ~ cUnsatisfiable(X0) ),
    inference(resolution,[],[f122,f132]) ).

fof(f167,plain,
    ! [X0,X1] :
      ( ~ cUnsatisfiable(X0)
      | ~ ra_Px1(sK1(X0),X1) ),
    inference(resolution,[],[f166,f128]) ).

fof(f169,plain,
    ! [X0] : ~ ra_Px1(sK1(i2003_11_14_17_21_37349),X0),
    inference(resolution,[],[f167,f145]) ).

fof(f172,plain,
    ~ ccxcomp(sK1(i2003_11_14_17_21_37349)),
    inference(resolution,[],[f169,f130]) ).

fof(f177,definition,
    ( spl6_1
  <=> cd(sK1(i2003_11_14_17_21_37349)) ),
    introduced(definition,[new_symbols(definition,[spl6_1])],[avatar_definition]) ).

fof(f178,plain,
    ( ~ cd(sK1(i2003_11_14_17_21_37349))
    | spl6_1 ),
    inference(avatar_component_clause,[],[f177]) ).

fof(f179,plain,
    ( cd(sK1(i2003_11_14_17_21_37349))
    | ~ spl6_1 ),
    inference(avatar_component_clause,[],[f177]) ).

fof(f186,plain,
    ! [X2,X0,X1] :
      ( ~ rf(X0,X1)
      | X1 = X2
      | ~ rf(X0,X2) ),
    inference(forward_subsumption_resolution,[],[f139,f119]) ).

fof(f187,plain,
    ! [X0,X1] :
      ( ~ rf(X0,X1)
      | sK4(X0) = X1
      | ~ cd(X0) ),
    inference(resolution,[],[f186,f134]) ).

fof(f195,plain,
    ( ~ cUnsatisfiable(i2003_11_14_17_21_37349)
    | spl6_1 ),
    inference(resolution,[],[f178,f122]) ).

fof(f196,plain,
    ( $false
    | spl6_1 ),
    inference(forward_subsumption_resolution,[],[f195,f145]) ).

fof(f197,plain,
    spl6_1,
    inference(avatar_contradiction_clause,[],[f196]) ).

fof(f208,plain,
    ! [X0,X1] :
      ( ~ rinvF(X1,X0)
      | ~ cd(X0)
      | sK4(X0) = X1 ),
    inference(resolution,[],[f187,f140]) ).

fof(f218,plain,
    ! [X0] :
      ( ~ cd(sK1(X0))
      | sK4(sK1(X0)) = X0
      | ~ cUnsatisfiable(X0) ),
    inference(resolution,[],[f208,f123]) ).

fof(f219,plain,
    ! [X0] :
      ( ~ cd(sK5(X0))
      | sK4(sK5(X0)) = X0
      | ~ ca_Vx3(X0) ),
    inference(resolution,[],[f208,f137]) ).

fof(f221,plain,
    ! [X0] :
      ( sK4(sK5(X0)) = X0
      | ~ ca_Vx3(X0) ),
    inference(forward_subsumption_resolution,[],[f219,f136]) ).

fof(f222,plain,
    ! [X0] :
      ( ~ cUnsatisfiable(X0)
      | sK4(sK1(X0)) = X0 ),
    inference(forward_subsumption_resolution,[],[f218,f122]) ).

fof(f241,plain,
    ! [X0] :
      ( ccxcomp(X0)
      | ~ cd(sK5(X0))
      | ~ ca_Vx3(X0) ),
    inference(superposition,[],[f133,f221]) ).

fof(f242,plain,
    ! [X0] :
      ( ccxcomp(X0)
      | ~ ca_Vx3(X0) ),
    inference(forward_subsumption_resolution,[],[f241,f136]) ).

fof(f244,plain,
    ~ ca_Vx3(sK1(i2003_11_14_17_21_37349)),
    inference(resolution,[],[f242,f172]) ).

fof(f246,plain,
    i2003_11_14_17_21_37349 = sK4(sK1(i2003_11_14_17_21_37349)),
    inference(resolution,[],[f222,f145]) ).

fof(f247,plain,
    ! [X0] :
      ( ~ rinvR(X0,sK1(i2003_11_14_17_21_37349))
      | ~ cUnsatisfiable(X0) ),
    inference(resolution,[],[f244,f124]) ).

fof(f253,plain,
    ( rf(sK1(i2003_11_14_17_21_37349),i2003_11_14_17_21_37349)
    | ~ cd(sK1(i2003_11_14_17_21_37349)) ),
    inference(superposition,[],[f134,f246]) ).

fof(f256,plain,
    ( rf(sK1(i2003_11_14_17_21_37349),i2003_11_14_17_21_37349)
    | ~ spl6_1 ),
    inference(forward_subsumption_resolution,[],[f253,f179]) ).

fof(f279,plain,
    ! [X0] :
      ( ~ cUnsatisfiable(X0)
      | ~ rr(sK1(i2003_11_14_17_21_37349),X0) ),
    inference(resolution,[],[f247,f143]) ).

fof(f330,plain,
    ~ rr(sK1(i2003_11_14_17_21_37349),i2003_11_14_17_21_37349),
    inference(resolution,[],[f279,f145]) ).

fof(f333,plain,
    ~ rf(sK1(i2003_11_14_17_21_37349),i2003_11_14_17_21_37349),
    inference(resolution,[],[f330,f146]) ).

fof(f335,plain,
    ( $false
    | ~ spl6_1 ),
    inference(forward_subsumption_resolution,[],[f333,f256]) ).

fof(f336,plain,
    ~ spl6_1,
    inference(avatar_contradiction_clause,[],[f335]) ).

cnf(s3,plain,
    spl6_1,
    inference(sat_conversion,[],[f197]) ).

cnf(s4,plain,
    ~ spl6_1,
    inference(sat_conversion,[],[f336]) ).

cnf(s5,plain,
    $false,
    inference(rat,[],[s3,s4]) ).

fof(f337,plain,
    $false,
    inference(avatar_sat_refutation,[],[s5]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : KRS117+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.13/0.39  % Computer : n008.cluster.edu
% 0.13/0.39  % Model    : x86_64 x86_64
% 0.13/0.39  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.39  % Memory   : 8046.5625MB
% 0.13/0.39  % OS       : Linux 6.8.0-71-generic
% 0.13/0.39  % CPULimit : 300
% 0.13/0.39  % WCLimit  : 300
% 0.13/0.39  % DateTime : Sun Sep 27 13:26:10 UTC 2026
% 0.13/0.39  % CPUTime  : 
% 0.13/0.39  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.13/0.42  Running first-order theorem proving
% 0.13/0.42  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
% 2.65/1.26  % (1224504)Detected formulas, will run a generic FOF schedule.
% 2.65/1.26  % (1224515)dis-21_1_sil=8000:lcm=predicate:random_seed=2801474791: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)
% 2.65/1.26  % (1224513)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1208024874:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 2.65/1.26  % (1224509)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=2584155380:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 2.65/1.26  % (1224511)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=1428732248:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 2.65/1.26  % (1224510)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=1167264731:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 2.65/1.26  % (1224514)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2052047577:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 2.65/1.26  % (1224513)Refutation not found, incomplete strategy
% 2.65/1.26  % (1224513)------------------------------
% 2.65/1.26  % (1224513)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.65/1.26  % (1224513)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.65/1.26  % (1224513)CaDiCaL version: 2.1.3
% 2.65/1.26  % (1224513)Termination reason: Refutation not found, incomplete strategy
% 2.65/1.26  % (1224513)Time elapsed: 0.0000 s
% 2.65/1.26  % (1224513)Peak memory usage: 86 MB
% 2.65/1.26  % (1224512)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1201131001:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 2.65/1.26  % (1224512)Refutation not found, incomplete strategy
% 2.65/1.26  % (1224512)------------------------------
% 2.65/1.26  % (1224512)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.65/1.26  % (1224512)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.65/1.26  % (1224512)CaDiCaL version: 2.1.3
% 2.65/1.26  % (1224512)Termination reason: Refutation not found, incomplete strategy
% 2.65/1.26  % (1224512)Time elapsed: 0.0000 s
% 2.65/1.26  % (1224512)Peak memory usage: 86 MB
% 2.65/1.26  % (1224514)First to succeed.
% 2.65/1.26  % (1224514)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1224504"
% 2.65/1.26  % (1224515)Instruction limit reached! 
% 2.65/1.26  % (1224515)------------------------------
% 2.65/1.26  % (1224515)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.65/1.26  % (1224515)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.65/1.26  % (1224515)CaDiCaL version: 2.1.3
% 2.65/1.26  % (1224515)Termination reason: Instruction limit
% 2.65/1.26  % (1224515)Termination phase: Saturation
% 2.65/1.26  % (1224515)Time elapsed: 0.038 s
% 2.65/1.26  % (1224515)Peak memory usage: 89 MB
% 2.65/1.26  % (1224515)Instructions burned: 132 (million)
% 2.65/1.26  % (1224523)lrs+10_1_sil=8000:sp=occurrence:random_seed=3491907215:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 2.65/1.26  % (1224523)Refutation not found, incomplete strategy
% 2.65/1.26  % (1224523)------------------------------
% 2.65/1.26  % (1224523)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.65/1.26  % (1224523)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.65/1.26  % (1224523)CaDiCaL version: 2.1.3
% 2.65/1.26  % (1224523)Termination reason: Refutation not found, incomplete strategy
% 2.65/1.26  % (1224523)Time elapsed: 0.0000 s
% 2.65/1.26  % (1224523)Peak memory usage: 86 MB
% 2.65/1.26  % (1224513)------------------------------
% 2.65/1.26  % (1224513)------------------------------
% 2.65/1.26  % (1224512)------------------------------
% 2.65/1.26  % (1224512)------------------------------
% 2.65/1.26  % (1224523)------------------------------
% 2.65/1.26  % (1224523)------------------------------
% 2.65/1.26  % (1224514)Refutation found. Thanks to Tanya!
% 2.65/1.26  % SZS status Unsatisfiable for theBenchmark
% 2.65/1.26  % SZS output start Proof for theBenchmark
% See solution above
% 3.45/1.45  % (1224514)------------------------------
% 3.45/1.45  % (1224514)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.45/1.45  % (1224514)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.45/1.45  % (1224514)CaDiCaL version: 2.1.3
% 3.45/1.45  % (1224514)Termination reason: Refutation
% 3.45/1.45  % (1224514)Time elapsed: 0.009 s
% 3.45/1.45  % (1224514)Peak memory usage: 89 MB
% 3.45/1.45  % (1224514)Instructions burned: 10 (million)
% 3.45/1.45  % (1224514)------------------------------
% 3.45/1.45  % (1224514)------------------------------
% 3.45/1.45  % (1224504)Success in time 0.4 s
% 3.45/1.45  % Vampire exiting
%------------------------------------------------------------------------------