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Vampire---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : NUN086+1 : TPTP v9.3.1. Released v7.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM

% Computer : n007.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 12:26:47 PM UTC 2026

% Result   : Theorem 15.60s 3.11s
% Output   : Refutation 0.17s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   26
%            Number of leaves      :   16
% Syntax   : Number of formulae    :  107 (  28 unt;   3 def)
%            Number of atoms       :  275 (   0 equ)
%            Maximal formula atoms :    7 (   2 avg)
%            Number of connectives :  312 ( 144   ~; 119   |;  46   &)
%                                         (   3 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   12 (   5 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    9 (   8 usr;   4 prp; 0-3 aty)
%            Number of functors    :   12 (  12 usr;   1 con; 0-2 aty)
%            Number of variables   :  214 (   0 sgn 192   !;  22   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    ? [X0] :
    ! [X1] :
      ( ( id(X1,X0)
        & r1(X1) )
      | ( ~ r1(X1)
        & ~ id(X1,X0) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_1) ).

fof(f3,axiom,
    ! [X0,X1] :
    ? [X2] :
    ! [X3] :
      ( ( id(X3,X2)
        & r3(X0,X1,X3) )
      | ( ~ r3(X0,X1,X3)
        & ~ id(X3,X2) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_3) ).

fof(f4,axiom,
    ! [X0,X1] :
    ? [X2] :
    ! [X3] :
      ( ( id(X3,X2)
        & r4(X0,X1,X3) )
      | ( ~ r4(X0,X1,X3)
        & ~ id(X3,X2) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_4) ).

fof(f5,axiom,
    ! [X0] : id(X0,X0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_5) ).

fof(f6,axiom,
    ! [X0,X1] :
      ( ~ id(X0,X1)
      | id(X1,X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_6) ).

fof(f7,axiom,
    ! [X0,X1,X2] :
      ( ~ id(X0,X1)
      | id(X0,X2)
      | ~ id(X1,X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_7) ).

fof(f8,axiom,
    ! [X0,X1] :
      ( ~ id(X0,X1)
      | ( ~ r1(X0)
        & ~ r1(X1) )
      | ( r1(X0)
        & r1(X1) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_8) ).

fof(f10,axiom,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ id(X0,X3)
      | ~ id(X1,X4)
      | ~ id(X2,X5)
      | ( ~ r3(X0,X1,X2)
        & ~ r3(X3,X4,X5) )
      | ( r3(X0,X1,X2)
        & r3(X3,X4,X5) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_10) ).

fof(f11,axiom,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ id(X0,X3)
      | ~ id(X1,X4)
      | ~ id(X2,X5)
      | ( ~ r4(X0,X1,X2)
        & ~ r4(X3,X4,X5) )
      | ( r4(X0,X1,X2)
        & r4(X3,X4,X5) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_11) ).

fof(f13,axiom,
    ! [X0,X1] :
    ? [X2] :
      ( ? [X3] :
          ( id(X3,X2)
          & ? [X4] :
              ( r2(X1,X4)
              & r4(X0,X4,X3) ) )
      & ? [X5] :
          ( r3(X5,X0,X2)
          & r4(X0,X1,X5) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_2a) ).

fof(f15,axiom,
    ! [X0] :
    ? [X1] :
      ( id(X1,X0)
      & ? [X2] :
          ( r1(X2)
          & r3(X0,X2,X1) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_4a) ).

fof(f16,axiom,
    ! [X0] :
    ? [X1] :
      ( ? [X2] :
          ( r1(X2)
          & r4(X0,X2,X1) )
      & ? [X3] :
          ( id(X1,X3)
          & r1(X3) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_5a) ).

fof(f19,conjecture,
    ? [X0] :
      ( ? [X1] :
          ( ? [X2] :
              ( r1(X2)
              & r2(X2,X1) )
          & ? [X3] :
              ( r1(X3)
              & r4(X3,X1,X0) ) )
      & ? [X4] :
          ( id(X0,X4)
          & r1(X4) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',zerotimesoneidzero) ).

fof(f20,negated_conjecture,
    ~ ? [X0] :
        ( ? [X1] :
            ( ? [X2] :
                ( r1(X2)
                & r2(X2,X1) )
            & ? [X3] :
                ( r1(X3)
                & r4(X3,X1,X0) ) )
        & ? [X4] :
            ( id(X0,X4)
            & r1(X4) ) ),
    inference(negated_conjecture,[status(cth)],[f19]) ).

fof(f21,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( ~ r1(X2)
              | ~ r2(X2,X1) )
          | ! [X3] :
              ( ~ r1(X3)
              | ~ r4(X3,X1,X0) ) )
      | ! [X4] :
          ( ~ id(X0,X4)
          | ~ r1(X4) ) ),
    inference(ennf_transformation,[],[f20]) ).

fof(f24,plain,
    ! [X1] :
      ( ( id(X1,sK4)
        & r1(X1) )
      | ( ~ r1(X1)
        & ~ id(X1,sK4) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK4]),skolemize(X0,sK4)],[f1]) ).

fof(f25,plain,
    ! [X0] :
      ( r1(sK6(X0))
      & r4(X0,sK6(X0),sK5(X0))
      & id(sK5(X0),sK7(X0))
      & r1(sK7(X0)) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK5,sK6,sK7]),skolemize(X1,sK5(X0)),skolemize(X2,sK6(X0)),skolemize(X3,sK7(X0))],[f16]) ).

fof(f26,plain,
    ! [X0] :
      ( id(sK8(X0),X0)
      & r1(sK9(X0))
      & r3(X0,sK9(X0),sK8(X0)) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK8,sK9]),skolemize(X1,sK8(X0)),skolemize(X2,sK9(X0))],[f15]) ).

fof(f27,plain,
    ! [X0,X1] :
      ( id(sK11(X0,X1),sK10(X0,X1))
      & r2(X1,sK12(X0,X1))
      & r4(X0,sK12(X0,X1),sK11(X0,X1))
      & r3(sK13(X0,X1),X0,sK10(X0,X1))
      & r4(X0,X1,sK13(X0,X1)) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK10,sK11,sK12,sK13]),skolemize(X2,sK10(X0,X1)),skolemize(X3,sK11(X0,X1)),skolemize(X4,sK12(X0,X1)),skolemize(X5,sK13(X0,X1))],[f13]) ).

fof(f29,plain,
    ! [X0,X1,X3] :
      ( ( id(X3,sK18(X0,X1))
        & r4(X0,X1,X3) )
      | ( ~ r4(X0,X1,X3)
        & ~ id(X3,sK18(X0,X1)) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK18]),skolemize(X2,sK18(X0,X1))],[f4]) ).

fof(f30,plain,
    ! [X0,X1,X3] :
      ( ( id(X3,sK19(X0,X1))
        & r3(X0,X1,X3) )
      | ( ~ r3(X0,X1,X3)
        & ~ id(X3,sK19(X0,X1)) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK19]),skolemize(X2,sK19(X0,X1))],[f3]) ).

fof(f31,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ r4(X3,X1,X0)
      | ~ r2(X2,X1)
      | ~ r1(X3)
      | ~ r1(X2)
      | ~ id(X0,X4)
      | ~ r1(X4) ),
    inference(cnf_transformation,[],[f21]) ).

fof(f43,plain,
    ! [X0,X1] :
      ( ~ id(X0,X1)
      | ~ r1(X1)
      | r1(X0) ),
    inference(cnf_transformation,[],[f8]) ).

fof(f44,plain,
    ! [X0,X1] :
      ( ~ id(X0,X1)
      | ~ r1(X0)
      | r1(X1) ),
    inference(cnf_transformation,[],[f8]) ).

fof(f46,plain,
    ! [X2,X0,X1] :
      ( ~ id(X1,X2)
      | id(X0,X2)
      | ~ id(X0,X1) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f47,plain,
    ! [X0,X1] :
      ( ~ id(X0,X1)
      | id(X1,X0) ),
    inference(cnf_transformation,[],[f6]) ).

fof(f48,plain,
    ! [X0] : id(X0,X0),
    inference(cnf_transformation,[],[f5]) ).

fof(f53,plain,
    ! [X1] :
      ( ~ id(X1,sK4)
      | r1(X1) ),
    inference(cnf_transformation,[],[f24]) ).

fof(f56,plain,
    ! [X1] :
      ( id(X1,sK4)
      | ~ r1(X1) ),
    inference(cnf_transformation,[],[f24]) ).

fof(f57,plain,
    ! [X0] : r1(sK7(X0)),
    inference(cnf_transformation,[],[f25]) ).

fof(f58,plain,
    ! [X0] : id(sK5(X0),sK7(X0)),
    inference(cnf_transformation,[],[f25]) ).

fof(f59,plain,
    ! [X0] : r4(X0,sK6(X0),sK5(X0)),
    inference(cnf_transformation,[],[f25]) ).

fof(f60,plain,
    ! [X0] : r1(sK6(X0)),
    inference(cnf_transformation,[],[f25]) ).

fof(f61,plain,
    ! [X0] : r3(X0,sK9(X0),sK8(X0)),
    inference(cnf_transformation,[],[f26]) ).

fof(f62,plain,
    ! [X0] : r1(sK9(X0)),
    inference(cnf_transformation,[],[f26]) ).

fof(f63,plain,
    ! [X0] : id(sK8(X0),X0),
    inference(cnf_transformation,[],[f26]) ).

fof(f64,plain,
    ! [X0,X1] : r4(X0,X1,sK13(X0,X1)),
    inference(cnf_transformation,[],[f27]) ).

fof(f65,plain,
    ! [X0,X1] : r3(sK13(X0,X1),X0,sK10(X0,X1)),
    inference(cnf_transformation,[],[f27]) ).

fof(f66,plain,
    ! [X0,X1] : r4(X0,sK12(X0,X1),sK11(X0,X1)),
    inference(cnf_transformation,[],[f27]) ).

fof(f67,plain,
    ! [X0,X1] : r2(X1,sK12(X0,X1)),
    inference(cnf_transformation,[],[f27]) ).

fof(f68,plain,
    ! [X0,X1] : id(sK11(X0,X1),sK10(X0,X1)),
    inference(cnf_transformation,[],[f27]) ).

fof(f76,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( ~ r4(X0,X1,X2)
      | ~ id(X1,X4)
      | ~ id(X2,X5)
      | ~ id(X0,X3)
      | r4(X3,X4,X5) ),
    inference(cnf_transformation,[],[f11]) ).

fof(f78,plain,
    ! [X3,X0,X1] :
      ( ~ id(X3,sK18(X0,X1))
      | r4(X0,X1,X3) ),
    inference(cnf_transformation,[],[f29]) ).

fof(f81,plain,
    ! [X3,X0,X1] :
      ( id(X3,sK18(X0,X1))
      | ~ r4(X0,X1,X3) ),
    inference(cnf_transformation,[],[f29]) ).

fof(f84,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( ~ r3(X0,X1,X2)
      | ~ id(X1,X4)
      | ~ id(X2,X5)
      | ~ id(X0,X3)
      | r3(X3,X4,X5) ),
    inference(cnf_transformation,[],[f10]) ).

fof(f89,plain,
    ! [X3,X0,X1] :
      ( id(X3,sK19(X0,X1))
      | ~ r3(X0,X1,X3) ),
    inference(cnf_transformation,[],[f30]) ).

fof(f90,plain,
    r1(sK4),
    inference(resolution,[],[f48,f53]) ).

fof(f105,plain,
    ! [X2,X3,X0,X1] :
      ( ~ r2(X0,sK12(X1,X2))
      | ~ r1(X1)
      | ~ r1(X0)
      | ~ id(sK11(X1,X2),X3)
      | ~ r1(X3) ),
    inference(resolution,[],[f66,f31]) ).

fof(f125,plain,
    ! [X2,X0,X1] :
      ( ~ id(sK11(X0,X1),X2)
      | ~ r1(X1)
      | ~ r1(X0)
      | ~ r1(X2) ),
    inference(resolution,[],[f105,f67]) ).

fof(f129,plain,
    ! [X0,X1] :
      ( ~ r1(sK10(X1,X0))
      | ~ r1(X1)
      | ~ r1(X0) ),
    inference(resolution,[],[f125,f68]) ).

fof(f136,plain,
    ! [X0] :
      ( ~ r1(sK7(X0))
      | r1(sK5(X0)) ),
    inference(resolution,[],[f58,f43]) ).

fof(f138,plain,
    ! [X0] : r1(sK5(X0)),
    inference(forward_subsumption_resolution,[],[f136,f57]) ).

fof(f145,plain,
    ! [X2,X0,X1] :
      ( id(sK18(X0,X1),X2)
      | ~ r4(X0,X1,X2) ),
    inference(resolution,[],[f81,f47]) ).

fof(f158,plain,
    ! [X2,X0,X1] :
      ( ~ r3(X0,X1,X2)
      | ~ r1(sK19(X0,X1))
      | r1(X2) ),
    inference(resolution,[],[f89,f43]) ).

fof(f159,plain,
    ! [X2,X0,X1] :
      ( ~ r3(X0,X1,X2)
      | ~ r1(X2)
      | r1(sK19(X0,X1)) ),
    inference(resolution,[],[f89,f44]) ).

fof(f176,plain,
    ! [X2,X3,X0,X1] :
      ( ~ id(sK6(X0),X1)
      | ~ id(sK5(X0),X2)
      | ~ id(X0,X3)
      | r4(X3,X1,X2) ),
    inference(resolution,[],[f76,f59]) ).

fof(f194,plain,
    ! [X2,X0,X1] :
      ( ~ id(sK5(X0),X1)
      | ~ id(X0,X2)
      | r4(X2,sK4,X1)
      | ~ r1(sK6(X0)) ),
    inference(resolution,[],[f176,f56]) ).

fof(f198,plain,
    ! [X2,X0,X1] :
      ( ~ id(sK5(X0),X1)
      | ~ id(X0,X2)
      | r4(X2,sK4,X1) ),
    inference(forward_subsumption_resolution,[],[f194,f60]) ).

fof(f201,plain,
    ! [X0,X1] :
      ( ~ id(X0,X1)
      | r4(X1,sK4,sK4)
      | ~ r1(sK5(X0)) ),
    inference(resolution,[],[f198,f56]) ).

fof(f206,plain,
    ! [X0,X1] :
      ( ~ id(X0,X1)
      | r4(X1,sK4,sK4) ),
    inference(forward_subsumption_resolution,[],[f201,f138]) ).

fof(f242,plain,
    ! [X0] : r4(X0,sK4,sK4),
    inference(resolution,[],[f206,f63]) ).

fof(f253,definition,
    ( spl20_3
  <=> ! [X0] : ~ r1(X0) ),
    introduced(definition,[new_symbols(definition,[spl20_3])],[avatar_definition]) ).

fof(f254,plain,
    ( ! [X0] : ~ r1(X0)
    | ~ spl20_3 ),
    inference(avatar_component_clause,[],[f253]) ).

fof(f275,plain,
    ! [X0,X1] :
      ( ~ id(X0,X1)
      | id(X0,sK4)
      | ~ r1(X1) ),
    inference(resolution,[],[f46,f56]) ).

fof(f280,plain,
    ! [X2,X3,X0,X1] :
      ( ~ r4(X1,X2,X3)
      | ~ id(X0,X3)
      | id(X0,sK18(X1,X2)) ),
    inference(resolution,[],[f46,f81]) ).

fof(f299,plain,
    ! [X0] :
      ( id(sK5(X0),sK4)
      | ~ r1(sK7(X0)) ),
    inference(resolution,[],[f275,f58]) ).

fof(f306,plain,
    ! [X0] : id(sK5(X0),sK4),
    inference(forward_subsumption_resolution,[],[f299,f57]) ).

fof(f338,plain,
    ! [X0,X1] :
      ( id(X0,sK18(X1,sK4))
      | ~ id(X0,sK4) ),
    inference(resolution,[],[f280,f242]) ).

fof(f452,plain,
    ! [X0,X1] :
      ( ~ id(X0,sK4)
      | ~ r1(X0)
      | r1(sK18(X1,sK4)) ),
    inference(resolution,[],[f338,f44]) ).

fof(f458,plain,
    ! [X2,X0,X1] :
      ( ~ id(sK5(X0),sK4)
      | ~ id(X0,X1)
      | r4(X1,sK4,sK18(X2,sK4)) ),
    inference(resolution,[],[f338,f198]) ).

fof(f478,plain,
    ! [X2,X0,X1] :
      ( ~ id(X0,X1)
      | r4(X1,sK4,sK18(X2,sK4)) ),
    inference(forward_subsumption_resolution,[],[f458,f306]) ).

fof(f479,plain,
    ! [X0,X1] :
      ( ~ id(X0,sK4)
      | r1(sK18(X1,sK4)) ),
    inference(forward_subsumption_resolution,[],[f452,f53]) ).

fof(f481,definition,
    ( spl20_8
  <=> ! [X1] : r1(sK18(X1,sK4)) ),
    introduced(definition,[new_symbols(definition,[spl20_8])],[avatar_definition]) ).

fof(f482,plain,
    ( ! [X1] : r1(sK18(X1,sK4))
    | ~ spl20_8 ),
    inference(avatar_component_clause,[],[f481]) ).

fof(f484,definition,
    ( spl20_9
  <=> ! [X0] : ~ id(X0,sK4) ),
    introduced(definition,[new_symbols(definition,[spl20_9])],[avatar_definition]) ).

fof(f485,plain,
    ( ! [X0] : ~ id(X0,sK4)
    | ~ spl20_9 ),
    inference(avatar_component_clause,[],[f484]) ).

fof(f486,plain,
    ( spl20_8
    | spl20_9 ),
    inference(avatar_split_clause,[],[f479,f484,f481]) ).

fof(f532,plain,
    ! [X0] : r4(sK4,sK4,sK18(X0,sK4)),
    inference(resolution,[],[f478,f306]) ).

fof(f544,plain,
    ( ! [X0] : ~ r1(X0)
    | ~ spl20_9 ),
    inference(resolution,[],[f485,f56]) ).

fof(f557,plain,
    ( spl20_3
    | ~ spl20_9 ),
    inference(avatar_split_clause,[],[f544,f484,f253]) ).

fof(f643,plain,
    ! [X0,X1] :
      ( ~ id(X0,sK18(X1,sK4))
      | id(X0,sK18(sK4,sK4)) ),
    inference(resolution,[],[f532,f280]) ).

fof(f648,plain,
    ! [X0,X1] :
      ( ~ r4(X1,sK4,X0)
      | id(X0,sK18(sK4,sK4)) ),
    inference(resolution,[],[f643,f81]) ).

fof(f660,plain,
    ! [X0] : id(sK13(X0,sK4),sK18(sK4,sK4)),
    inference(resolution,[],[f648,f64]) ).

fof(f688,plain,
    ! [X0] : r4(sK4,sK4,sK13(X0,sK4)),
    inference(resolution,[],[f660,f78]) ).

fof(f1607,plain,
    ( $false
    | ~ spl20_3 ),
    inference(resolution,[],[f254,f90]) ).

fof(f1621,plain,
    ~ spl20_3,
    inference(avatar_contradiction_clause,[],[f1607]) ).

fof(f1754,plain,
    ! [X2,X3,X0,X1] :
      ( ~ id(sK9(X0),X1)
      | ~ id(sK8(X0),X2)
      | ~ id(X0,X3)
      | r3(X3,X1,X2) ),
    inference(resolution,[],[f84,f61]) ).

fof(f1783,plain,
    ! [X2,X0,X1] :
      ( ~ id(sK8(X0),X1)
      | ~ id(X0,X2)
      | r3(X2,sK4,X1)
      | ~ r1(sK9(X0)) ),
    inference(resolution,[],[f1754,f56]) ).

fof(f1790,plain,
    ! [X2,X0,X1] :
      ( ~ id(sK8(X0),X1)
      | ~ id(X0,X2)
      | r3(X2,sK4,X1) ),
    inference(forward_subsumption_resolution,[],[f1783,f62]) ).

fof(f1792,plain,
    ! [X0,X1] :
      ( r3(X1,sK4,X0)
      | ~ id(X0,X1) ),
    inference(resolution,[],[f1790,f63]) ).

fof(f2224,plain,
    ! [X0,X1] :
      ( ~ r1(sK19(sK13(X0,X1),X0))
      | r1(sK10(X0,X1)) ),
    inference(resolution,[],[f158,f65]) ).

fof(f2306,plain,
    ! [X0,X1] :
      ( ~ id(X0,X1)
      | r1(sK19(X1,sK4))
      | ~ r1(X0) ),
    inference(resolution,[],[f159,f1792]) ).

fof(f2317,plain,
    ! [X2,X0,X1] :
      ( ~ r4(X1,X2,X0)
      | ~ r1(sK18(X1,X2))
      | r1(sK19(X0,sK4)) ),
    inference(resolution,[],[f2306,f145]) ).

fof(f3666,plain,
    ! [X0] :
      ( ~ r1(sK18(sK4,sK4))
      | r1(sK19(sK13(X0,sK4),sK4)) ),
    inference(resolution,[],[f2317,f688]) ).

fof(f3681,plain,
    ( ! [X0] : r1(sK19(sK13(X0,sK4),sK4))
    | ~ spl20_8 ),
    inference(forward_subsumption_resolution,[],[f3666,f482]) ).

fof(f5864,plain,
    ( r1(sK10(sK4,sK4))
    | ~ spl20_8 ),
    inference(resolution,[],[f2224,f3681]) ).

fof(f5870,plain,
    ( ~ r1(sK4)
    | ~ r1(sK4)
    | ~ spl20_8 ),
    inference(resolution,[],[f5864,f129]) ).

fof(f5872,plain,
    ( ~ r1(sK4)
    | ~ spl20_8 ),
    inference(duplicate_literal_removal,[],[f5870]) ).

fof(f5873,plain,
    ( $false
    | ~ spl20_8 ),
    inference(forward_subsumption_resolution,[],[f5872,f90]) ).

fof(f5874,plain,
    ~ spl20_8,
    inference(avatar_contradiction_clause,[],[f5873]) ).

cnf(s6,plain,
    ( spl20_8
    | spl20_9 ),
    inference(sat_conversion,[],[f486]) ).

cnf(s14,plain,
    ( spl20_3
    | ~ spl20_9 ),
    inference(sat_conversion,[],[f557]) ).

cnf(s38,plain,
    ~ spl20_3,
    inference(sat_conversion,[],[f1621]) ).

cnf(s195,plain,
    ~ spl20_8,
    inference(sat_conversion,[],[f5874]) ).

cnf(s203,plain,
    ~ spl20_9,
    inference(rat,[],[s14,s38]) ).

cnf(s227,plain,
    $false,
    inference(rat,[],[s6,s203,s195]) ).

fof(f5875,plain,
    $false,
    inference(avatar_sat_refutation,[],[s227]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : NUN086+1 : TPTP v9.3.1. Released v7.3.0.
% 0.00/0.06  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.40  % Computer : n007.cluster.edu
% 0.11/0.40  % Model    : x86_64 x86_64
% 0.11/0.40  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.40  % Memory   : 8046.5625MB
% 0.11/0.40  % OS       : Linux 6.8.0-71-generic
% 0.11/0.40  % CPULimit : 300
% 0.11/0.40  % WCLimit  : 300
% 0.11/0.40  % DateTime : Sun Sep 27 21:57:25 UTC 2026
% 0.11/0.40  % CPUTime  : 
% 0.11/0.40  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.44  Running first-order theorem proving
% 0.11/0.44  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
% 12.60/2.73  % (1815535)Detected formulas, will run a generic FOF schedule.
% 12.60/2.73  % (1815545)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1761770368:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 12.60/2.73  % (1815546)dis-21_1_sil=8000:lcm=predicate:random_seed=3352683245: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)
% 12.60/2.73  % (1815540)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=3993242387:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 12.60/2.73  % (1815543)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2740817662:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 12.60/2.73  % (1815541)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=3310512912:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 12.60/2.73  % (1815542)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=3626207423:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 12.60/2.73  % (1815545)Instruction limit reached! 
% 12.60/2.73  % (1815545)------------------------------
% 12.60/2.73  % (1815545)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.60/2.73  % (1815545)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.60/2.73  % (1815545)CaDiCaL version: 2.1.3
% 12.60/2.73  % (1815545)Termination reason: Instruction limit
% 12.60/2.73  % (1815545)Termination phase: Saturation
% 12.60/2.73  % (1815545)Time elapsed: 0.049 s
% 12.60/2.73  % (1815545)Peak memory usage: 89 MB
% 12.60/2.73  % (1815545)Instructions burned: 140 (million)
% 12.60/2.73  % (1815544)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=637781451:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 12.60/2.73  % (1815543)Instruction limit reached! 
% 12.60/2.73  % (1815543)------------------------------
% 12.60/2.73  % (1815543)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.60/2.73  % (1815543)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.60/2.73  % (1815543)CaDiCaL version: 2.1.3
% 12.60/2.73  % (1815543)Termination reason: Instruction limit
% 12.60/2.73  % (1815543)Termination phase: Saturation
% 12.60/2.73  % (1815543)Time elapsed: 0.062 s
% 12.60/2.73  % (1815543)Peak memory usage: 88 MB
% 12.60/2.73  % (1815543)Instructions burned: 109 (million)
% 12.60/2.73  % (1815546)Instruction limit reached! 
% 12.60/2.73  % (1815546)------------------------------
% 12.60/2.73  % (1815546)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.60/2.73  % (1815546)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.60/2.73  % (1815546)CaDiCaL version: 2.1.3
% 12.60/2.73  % (1815546)Termination reason: Instruction limit
% 12.60/2.73  % (1815546)Termination phase: Saturation
% 12.60/2.73  % (1815546)Time elapsed: 0.081 s
% 12.60/2.73  % (1815546)Peak memory usage: 89 MB
% 12.60/2.73  % (1815546)Instructions burned: 131 (million)
% 12.60/2.73  % (1815544)Instruction limit reached! 
% 12.60/2.73  % (1815544)------------------------------
% 12.60/2.73  % (1815544)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.60/2.73  % (1815544)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.60/2.73  % (1815544)CaDiCaL version: 2.1.3
% 12.60/2.73  % (1815544)Termination reason: Instruction limit
% 12.60/2.73  % (1815544)Termination phase: Saturation
% 12.60/2.73  % (1815544)Time elapsed: 0.072 s
% 12.60/2.73  % (1815544)Peak memory usage: 88 MB
% 12.60/2.73  % (1815544)Instructions burned: 119 (million)
% 12.60/2.73  % (1815554)lrs+10_1_sil=8000:sp=occurrence:random_seed=3660502552:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 12.60/2.73  % (1815555)lrs+10_1_sil=32000:urr=on:br=off:random_seed=30424529:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 12.60/2.73  % (1815554)Instruction limit reached! 
% 12.60/2.73  % (1815554)------------------------------
% 12.60/2.73  % (1815554)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.60/2.73  % (1815554)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.60/2.73  % (1815554)CaDiCaL version: 2.1.3
% 12.60/2.73  % (1815554)Termination reason: Instruction limit
% 12.60/2.73  % (1815554)Termination phase: Saturation
% 15.60/3.11  % (1815554)Time elapsed: 0.094 s
% 15.60/3.11  % (1815554)Peak memory usage: 91 MB
% 15.60/3.11  % (1815554)Instructions burned: 287 (million)
% 15.60/3.11  % (1815557)dis+10_5:1_slsqr=1,4:sil=8000:fde=unused:erd=off:urr=full:fd=off:s2agt=8:br=off:slsq=on:random_seed=2909350554:s2a=on:i=248:s2at=1.23:gtg=position_2997 on theBenchmark for (2997ds/248Mi)
% 15.60/3.11  % (1815556)lrs+1011_1_sil=32000:sp=occurrence:random_seed=1507169774:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 15.60/3.11  % (1815555)Instruction limit reached! 
% 15.60/3.11  % (1815555)------------------------------
% 15.60/3.11  % (1815555)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.60/3.11  % (1815555)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.60/3.11  % (1815555)CaDiCaL version: 2.1.3
% 15.60/3.11  % (1815555)Termination reason: Instruction limit
% 15.60/3.11  % (1815555)Termination phase: Saturation
% 15.60/3.11  % (1815555)Time elapsed: 0.090 s
% 15.60/3.11  % (1815555)Peak memory usage: 90 MB
% 15.60/3.11  % (1815555)Instructions burned: 158 (million)
% 15.60/3.11  % (1815560)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=2144493783:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2996 on theBenchmark for (2996ds/294Mi)
% 15.60/3.11  % (1815557)Instruction limit reached! 
% 15.60/3.11  % (1815557)------------------------------
% 15.60/3.11  % (1815557)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.60/3.11  % (1815557)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.60/3.11  % (1815557)CaDiCaL version: 2.1.3
% 15.60/3.11  % (1815557)Termination reason: Instruction limit
% 15.60/3.11  % (1815557)Termination phase: Saturation
% 15.60/3.11  % (1815557)Time elapsed: 0.130 s
% 15.60/3.11  % (1815557)Peak memory usage: 91 MB
% 15.60/3.11  % (1815557)Instructions burned: 250 (million)
% 15.60/3.11  % (1815560)Instruction limit reached! 
% 15.60/3.11  % (1815560)------------------------------
% 15.60/3.11  % (1815560)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.60/3.11  % (1815560)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.60/3.11  % (1815560)CaDiCaL version: 2.1.3
% 15.60/3.11  % (1815560)Termination reason: Instruction limit
% 15.60/3.11  % (1815560)Termination phase: Saturation
% 15.60/3.11  % (1815560)Time elapsed: 0.081 s
% 15.60/3.11  % (1815560)Peak memory usage: 88 MB
% 15.60/3.11  % (1815560)Instructions burned: 298 (million)
% 15.60/3.11  % (1815556)Instruction limit reached! 
% 15.60/3.11  % (1815556)------------------------------
% 15.60/3.11  % (1815556)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.60/3.11  % (1815556)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.60/3.11  % (1815556)CaDiCaL version: 2.1.3
% 15.60/3.11  % (1815556)Termination reason: Instruction limit
% 15.60/3.11  % (1815556)Termination phase: Saturation
% 15.60/3.11  % (1815556)Time elapsed: 0.215 s
% 15.60/3.11  % (1815556)Peak memory usage: 92 MB
% 15.60/3.11  % (1815556)Instructions burned: 326 (million)
% 15.60/3.11  % (1815563)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=2337896733:i=2350_2995 on theBenchmark for (2995ds/2350Mi)
% 15.60/3.11  % (1815565)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=2314209606:cts=off:i=113:fsr=off:ss=included:sgt=4_2994 on theBenchmark for (2994ds/113Mi)
% 15.60/3.11  % (1815566)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=3287806664:i=127:av=off:fsr=off:sup=off_2994 on theBenchmark for (2994ds/127Mi)
% 15.60/3.11  % (1815566)Instruction limit reached! 
% 15.60/3.11  % (1815566)------------------------------
% 15.60/3.11  % (1815566)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.60/3.11  % (1815566)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.60/3.11  % (1815566)CaDiCaL version: 2.1.3
% 15.60/3.11  % (1815566)Termination reason: Instruction limit
% 15.60/3.11  % (1815566)Termination phase: Saturation
% 15.60/3.11  % (1815566)Time elapsed: 0.037 s
% 15.60/3.11  % (1815566)Peak memory usage: 89 MB
% 15.60/3.11  % (1815566)Instructions burned: 130 (million)
% 15.60/3.11  % (1815565)Instruction limit reached! 
% 15.60/3.11  % (1815565)------------------------------
% 15.60/3.11  % (1815565)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.60/3.11  % (1815565)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.60/3.11  % (1815565)CaDiCaL version: 2.1.3
% 15.60/3.11  % (1815565)Termination reason: Instruction limit
% 15.60/3.11  % (1815565)Termination phase: Saturation
% 15.60/3.11  % (1815565)Time elapsed: 0.060 s
% 15.60/3.11  % (1815565)Peak memory usage: 88 MB
% 15.60/3.11  % (1815565)Instructions burned: 113 (million)
% 15.60/3.11  % (1815567)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=3013771622:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2993 on theBenchmark for (2993ds/114Mi)
% 15.60/3.11  % (1815567)Instruction limit reached! 
% 15.60/3.11  % (1815567)------------------------------
% 15.60/3.11  % (1815567)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.60/3.11  % (1815567)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.60/3.11  % (1815567)CaDiCaL version: 2.1.3
% 15.60/3.11  % (1815567)Termination reason: Instruction limit
% 15.60/3.11  % (1815567)Termination phase: Saturation
% 15.60/3.11  % (1815567)Time elapsed: 0.070 s
% 15.60/3.11  % (1815567)Peak memory usage: 89 MB
% 15.60/3.11  % (1815567)Instructions burned: 116 (million)
% 15.60/3.11  % (1815571)lrs+10_1_sil=8000:sp=occurrence:random_seed=3698083724:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2992 on theBenchmark for (2992ds/907Mi)
% 15.60/3.11  % (1815572)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=1997096846:i=437:sd=1:aac=none:ss=included_2992 on theBenchmark for (2992ds/437Mi)
% 15.60/3.11  % (1815575)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=3661320655:i=5202:ss=axioms:sgt=16_2991 on theBenchmark for (2991ds/5202Mi)
% 15.60/3.11  % (1815571)Instruction limit reached! 
% 15.60/3.11  % (1815571)------------------------------
% 15.60/3.11  % (1815571)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.60/3.11  % (1815571)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.60/3.11  % (1815571)CaDiCaL version: 2.1.3
% 15.60/3.11  % (1815571)Termination reason: Instruction limit
% 15.60/3.11  % (1815571)Termination phase: Saturation
% 15.60/3.11  % (1815571)Time elapsed: 0.282 s
% 15.60/3.11  % (1815571)Peak memory usage: 94 MB
% 15.60/3.11  % (1815571)Instructions burned: 910 (million)
% 15.60/3.11  % (1815572)Instruction limit reached! 
% 15.60/3.11  % (1815572)------------------------------
% 15.60/3.11  % (1815572)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.60/3.11  % (1815572)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.60/3.11  % (1815572)CaDiCaL version: 2.1.3
% 15.60/3.11  % (1815572)Termination reason: Instruction limit
% 15.60/3.11  % (1815572)Termination phase: Saturation
% 15.60/3.11  % (1815572)Time elapsed: 0.258 s
% 15.60/3.11  % (1815572)Peak memory usage: 90 MB
% 15.60/3.11  % (1815572)Instructions burned: 438 (million)
% 15.60/3.11  % (1815578)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=149753734:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2988 on theBenchmark for (2988ds/134Mi)
% 15.60/3.11  % (1815578)Instruction limit reached! 
% 15.60/3.11  % (1815578)------------------------------
% 15.60/3.11  % (1815578)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.60/3.11  % (1815578)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.60/3.11  % (1815578)CaDiCaL version: 2.1.3
% 15.60/3.11  % (1815578)Termination reason: Instruction limit
% 15.60/3.11  % (1815578)Termination phase: Saturation
% 15.60/3.11  % (1815578)Time elapsed: 0.038 s
% 15.60/3.11  % (1815578)Peak memory usage: 90 MB
% 15.60/3.11  % (1815578)Instructions burned: 138 (million)
% 15.60/3.11  % (1815579)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=79065992:st=8:i=592:sd=3:ep=RST:ss=axioms_2988 on theBenchmark for (2988ds/592Mi)
% 15.60/3.11  % (1815581)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=677279418:st=3:i=13193:sd=3:ss=axioms_2986 on theBenchmark for (2986ds/13193Mi)
% 15.60/3.11  % (1815579)Instruction limit reached! 
% 15.60/3.11  % (1815579)------------------------------
% 15.60/3.11  % (1815579)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.60/3.11  % (1815579)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.60/3.11  % (1815579)CaDiCaL version: 2.1.3
% 15.60/3.11  % (1815579)Termination reason: Instruction limit
% 15.60/3.11  % (1815579)Termination phase: Saturation
% 15.60/3.11  % (1815579)Time elapsed: 0.332 s
% 15.60/3.11  % (1815579)Peak memory usage: 92 MB
% 15.60/3.11  % (1815579)Instructions burned: 592 (million)
% 15.60/3.11  % (1815584)lrs+1666_7_slsqr=4,1:sil=8000:plsq=on:plsqc=1:sos=on:urr=on:plsql=on:rp=on:alpa=false:sac=on:slsq=on:random_seed=110609515:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2983 on theBenchmark for (2983ds/125Mi)
% 15.60/3.11  % (1815584)Instruction limit reached! 
% 15.60/3.11  % (1815584)------------------------------
% 15.60/3.11  % (1815584)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.60/3.11  % (1815584)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.60/3.11  % (1815584)CaDiCaL version: 2.1.3
% 15.60/3.11  % (1815584)Termination reason: Instruction limit
% 15.60/3.11  % (1815584)Termination phase: Saturation
% 15.60/3.11  % (1815584)Time elapsed: 0.075 s
% 15.60/3.11  % (1815584)Peak memory usage: 90 MB
% 15.60/3.11  % (1815584)Instructions burned: 126 (million)
% 15.60/3.11  % (1815581)First to succeed.
% 15.60/3.11  % (1815581)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1815535"
% 15.60/3.11  % (1815586)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=1115561825:i=134:gtgl=5:slsql=off:gtg=exists_sym_2980 on theBenchmark for (2980ds/134Mi)
% 15.60/3.11  % (1815586)Instruction limit reached! 
% 15.60/3.11  % (1815586)------------------------------
% 15.60/3.11  % (1815586)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.60/3.11  % (1815586)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.60/3.11  % (1815586)CaDiCaL version: 2.1.3
% 15.60/3.11  % (1815586)Termination reason: Instruction limit
% 15.60/3.11  % (1815586)Termination phase: Saturation
% 15.60/3.11  % (1815586)Time elapsed: 0.081 s
% 15.60/3.11  % (1815586)Peak memory usage: 89 MB
% 15.60/3.11  % (1815586)Instructions burned: 134 (million)
% 15.60/3.11  % (1815563)Instruction limit reached! 
% 15.60/3.11  % (1815563)------------------------------
% 15.60/3.11  % (1815563)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.60/3.11  % (1815563)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.60/3.11  % (1815563)CaDiCaL version: 2.1.3
% 15.60/3.11  % (1815563)Termination reason: Instruction limit
% 15.60/3.11  % (1815563)Termination phase: Saturation
% 15.60/3.11  % (1815563)Time elapsed: 1.574 s
% 15.60/3.11  % (1815563)Peak memory usage: 140 MB
% 15.60/3.11  % (1815563)Instructions burned: 2351 (million)
% 15.60/3.11  % (1815581)Refutation found. Thanks to Tanya!
% 15.60/3.11  % SZS status Theorem for theBenchmark
% 15.60/3.11  % SZS output start Proof for theBenchmark
% See solution above
% 0.17/3.31  % (1815581)------------------------------
% 0.17/3.31  % (1815581)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.17/3.31  % (1815581)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.17/3.31  % (1815581)CaDiCaL version: 2.1.3
% 0.17/3.31  % (1815581)Termination reason: Refutation
% 0.17/3.31  % (1815581)Time elapsed: 0.634 s
% 0.17/3.31  % (1815581)Peak memory usage: 136 MB
% 0.17/3.31  % (1815581)Instructions burned: 1760 (million)
% 0.17/3.31  % (1815581)------------------------------
% 0.17/3.31  % (1815581)------------------------------
% 0.17/3.31  % (1815535)Success in time 2.227 s
% 0.17/3.31  % Vampire exiting
%------------------------------------------------------------------------------