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Vampire---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : GEO517+1 : TPTP v9.3.1. Released v7.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM

% Computer : n001.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 09:52:50 AM UTC 2026

% Result   : Theorem 7.47s 2.05s
% Output   : Refutation 8.84s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   20
%            Number of leaves      :   20
% Syntax   : Number of formulae    :  124 (  28 unt;   9 def)
%            Number of atoms       :  442 (  58 equ)
%            Maximal formula atoms :   11 (   3 avg)
%            Number of connectives :  588 ( 270   ~; 294   |;  16   &)
%                                         (   8 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   20 (   6 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   16 (  14 usr;   9 prp; 0-4 aty)
%            Number of functors    :   10 (  10 usr;   9 con; 0-2 aty)
%            Number of variables   :  199 (   0 sgn 191   !;   8   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f62,axiom,
    ! [X0,X1,X2,X3] :
      ( le(X0,X1,X2,X3)
      | le(X2,X3,X0,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz5_10) ).

fof(f93,axiom,
    ! [X0,X1,X2] :
      ( ~ s_m(X0,X1,X2)
      | s_m(X2,X1,X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz7_2) ).

fof(f95,axiom,
    ! [X0,X1] :
      ( s_m(X0,X1,X0)
      | X1 != X0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz7_3b) ).

fof(f98,axiom,
    ! [X0,X1,X2] :
      ( ~ s_m(X0,X1,X2)
      | X2 = s(X1,X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz7_6) ).

fof(f99,axiom,
    ! [X0,X1] : s(X0,s(X0,X1)) = X1,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz7_7) ).

fof(f102,axiom,
    ! [X0,X1] :
      ( s(X0,X1) != X1
      | X1 = X0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz7_10a) ).

fof(f159,axiom,
    ! [X0,X1,X2,X3] :
      ( ~ opposite(X0,X1,X2,X3)
      | opposite(X3,X1,X2,X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz9_2) ).

fof(f163,axiom,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( ~ opposite(X0,X1,X2,X3)
      | X1 = X2
      | ~ s_col(X1,X2,X4)
      | ~ s_col(X1,X2,X5)
      | ~ perp(X1,X2,X0,X5)
      | ~ perp(X1,X2,X3,X4)
      | ~ s_m(X5,X6,X4)
      | ~ sameside(X7,X5,X0)
      | ~ le(X4,X3,X5,X0)
      | X5 = X4
      | sameside(s(X6,X7),X4,X3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz9_4a) ).

fof(f164,axiom,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( ~ opposite(X0,X1,X2,X3)
      | X1 = X2
      | ~ s_col(X1,X2,X4)
      | ~ s_col(X1,X2,X5)
      | ~ perp(X1,X2,X0,X5)
      | ~ perp(X1,X2,X3,X4)
      | ~ s_m(X5,X6,X4)
      | sameside(X7,X5,X0)
      | ~ le(X4,X3,X5,X0)
      | X5 = X4
      | ~ sameside(s(X6,X7),X4,X3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz9_4a2) ).

fof(f165,axiom,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( ~ opposite(X0,X1,X2,X3)
      | X1 = X2
      | ~ s_col(X1,X2,X4)
      | ~ s_col(X1,X2,X5)
      | ~ perp(X1,X2,X0,X5)
      | ~ perp(X1,X2,X3,X4)
      | ~ s_m(X5,X6,X4)
      | ~ sameside(X7,X5,X0)
      | X5 != X4
      | sameside(s(X6,X7),X4,X3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz9_4b) ).

fof(f166,conjecture,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( ~ opposite(X0,X1,X2,X3)
      | X1 = X2
      | ~ s_col(X1,X2,X4)
      | ~ s_col(X1,X2,X5)
      | ~ perp(X1,X2,X0,X5)
      | ~ perp(X1,X2,X3,X4)
      | ~ s_m(X5,X6,X4)
      | ~ sameside(X7,X5,X0)
      | sameside(s(X6,X7),X4,X3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz9_4) ).

fof(f167,negated_conjecture,
    ~ ! [X0,X1,X2,X3,X4,X5,X6,X7] :
        ( ~ opposite(X0,X1,X2,X3)
        | X1 = X2
        | ~ s_col(X1,X2,X4)
        | ~ s_col(X1,X2,X5)
        | ~ perp(X1,X2,X0,X5)
        | ~ perp(X1,X2,X3,X4)
        | ~ s_m(X5,X6,X4)
        | ~ sameside(X7,X5,X0)
        | sameside(s(X6,X7),X4,X3) ),
    inference(negated_conjecture,[status(cth)],[f166]) ).

fof(f183,plain,
    ? [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( opposite(X0,X1,X2,X3)
      & X1 != X2
      & s_col(X1,X2,X4)
      & s_col(X1,X2,X5)
      & perp(X1,X2,X0,X5)
      & perp(X1,X2,X3,X4)
      & s_m(X5,X6,X4)
      & sameside(X7,X5,X0)
      & ~ sameside(s(X6,X7),X4,X3) ),
    inference(ennf_transformation,[],[f167]) ).

fof(f184,plain,
    ( opposite(sK0,sK1,sK2,sK3)
    & sK1 != sK2
    & s_col(sK1,sK2,sK4)
    & s_col(sK1,sK2,sK5)
    & perp(sK1,sK2,sK0,sK5)
    & perp(sK1,sK2,sK3,sK4)
    & s_m(sK5,sK6,sK4)
    & sameside(sK7,sK5,sK0)
    & ~ sameside(s(sK6,sK7),sK4,sK3) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4,sK5,sK6,sK7]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2),skolemize(X3,sK3),skolemize(X4,sK4),skolemize(X5,sK5),skolemize(X6,sK6),skolemize(X7,sK7)],[f183]) ).

fof(f254,plain,
    ! [X2,X3,X0,X1] :
      ( le(X0,X1,X2,X3)
      | le(X2,X3,X0,X1) ),
    inference(cnf_transformation,[],[f62]) ).

fof(f291,plain,
    ! [X2,X0,X1] :
      ( ~ s_m(X0,X1,X2)
      | s_m(X2,X1,X0) ),
    inference(cnf_transformation,[],[f93]) ).

fof(f293,plain,
    ! [X0,X1] :
      ( s_m(X0,X1,X0)
      | X0 != X1 ),
    inference(cnf_transformation,[],[f95]) ).

fof(f296,plain,
    ! [X2,X0,X1] :
      ( ~ s_m(X0,X1,X2)
      | s(X1,X0) = X2 ),
    inference(cnf_transformation,[],[f98]) ).

fof(f297,plain,
    ! [X0,X1] : s(X0,s(X0,X1)) = X1,
    inference(cnf_transformation,[],[f99]) ).

fof(f300,plain,
    ! [X0,X1] :
      ( s(X0,X1) != X1
      | X0 = X1 ),
    inference(cnf_transformation,[],[f102]) ).

fof(f371,plain,
    ! [X2,X3,X0,X1] :
      ( ~ opposite(X0,X1,X2,X3)
      | opposite(X3,X1,X2,X0) ),
    inference(cnf_transformation,[],[f159]) ).

fof(f375,plain,
    ! [X2,X3,X0,X1,X6,X7,X4,X5] :
      ( ~ opposite(X0,X1,X2,X3)
      | X1 = X2
      | ~ s_col(X1,X2,X4)
      | ~ s_col(X1,X2,X5)
      | ~ perp(X1,X2,X0,X5)
      | ~ perp(X1,X2,X3,X4)
      | ~ s_m(X5,X6,X4)
      | ~ sameside(X7,X5,X0)
      | ~ le(X4,X3,X5,X0)
      | X4 = X5
      | sameside(s(X6,X7),X4,X3) ),
    inference(cnf_transformation,[],[f163]) ).

fof(f376,plain,
    ! [X2,X3,X0,X1,X6,X7,X4,X5] :
      ( ~ sameside(s(X6,X7),X4,X3)
      | X1 = X2
      | ~ s_col(X1,X2,X4)
      | ~ s_col(X1,X2,X5)
      | ~ perp(X1,X2,X0,X5)
      | ~ perp(X1,X2,X3,X4)
      | ~ s_m(X5,X6,X4)
      | sameside(X7,X5,X0)
      | ~ le(X4,X3,X5,X0)
      | X4 = X5
      | ~ opposite(X0,X1,X2,X3) ),
    inference(cnf_transformation,[],[f164]) ).

fof(f377,plain,
    ! [X2,X3,X0,X1,X6,X7,X4,X5] :
      ( ~ opposite(X0,X1,X2,X3)
      | X1 = X2
      | ~ s_col(X1,X2,X4)
      | ~ s_col(X1,X2,X5)
      | ~ perp(X1,X2,X0,X5)
      | ~ perp(X1,X2,X3,X4)
      | ~ s_m(X5,X6,X4)
      | ~ sameside(X7,X5,X0)
      | X4 != X5
      | sameside(s(X6,X7),X4,X3) ),
    inference(cnf_transformation,[],[f165]) ).

fof(f378,plain,
    ~ sameside(s(sK6,sK7),sK4,sK3),
    inference(cnf_transformation,[],[f184]) ).

fof(f379,plain,
    sameside(sK7,sK5,sK0),
    inference(cnf_transformation,[],[f184]) ).

fof(f380,plain,
    s_m(sK5,sK6,sK4),
    inference(cnf_transformation,[],[f184]) ).

fof(f381,plain,
    perp(sK1,sK2,sK3,sK4),
    inference(cnf_transformation,[],[f184]) ).

fof(f382,plain,
    perp(sK1,sK2,sK0,sK5),
    inference(cnf_transformation,[],[f184]) ).

fof(f383,plain,
    s_col(sK1,sK2,sK5),
    inference(cnf_transformation,[],[f184]) ).

fof(f384,plain,
    s_col(sK1,sK2,sK4),
    inference(cnf_transformation,[],[f184]) ).

fof(f385,plain,
    sK1 != sK2,
    inference(cnf_transformation,[],[f184]) ).

fof(f386,plain,
    opposite(sK0,sK1,sK2,sK3),
    inference(cnf_transformation,[],[f184]) ).

fof(f472,plain,
    ! [X1] : s_m(X1,X1,X1),
    inference(equality_resolution,[],[f293]) ).

fof(f480,plain,
    ! [X2,X3,X0,X1,X6,X7,X5] :
      ( ~ opposite(X0,X1,X2,X3)
      | X1 = X2
      | ~ s_col(X1,X2,X5)
      | ~ s_col(X1,X2,X5)
      | ~ perp(X1,X2,X0,X5)
      | ~ perp(X1,X2,X3,X5)
      | ~ s_m(X5,X6,X5)
      | ~ sameside(X7,X5,X0)
      | sameside(s(X6,X7),X5,X3) ),
    inference(equality_resolution,[],[f377]) ).

fof(f486,definition,
    sF8 = s(sK6,sK7),
    introduced(definition,[new_symbols(definition,[sF8])],[function_definition]) ).

fof(f487,plain,
    s(sK6,sK7) = sF8,
    inference(reorient_equations,[],[f486]) ).

fof(f488,plain,
    ~ sameside(sF8,sK4,sK3),
    inference(definition_folding,[],[f378,f487]) ).

fof(f489,plain,
    ! [X2,X3,X0,X1,X6,X7,X5] :
      ( ~ opposite(X0,X1,X2,X3)
      | X1 = X2
      | ~ s_col(X1,X2,X5)
      | ~ perp(X1,X2,X0,X5)
      | ~ perp(X1,X2,X3,X5)
      | ~ s_m(X5,X6,X5)
      | ~ sameside(X7,X5,X0)
      | sameside(s(X6,X7),X5,X3) ),
    inference(duplicate_literal_removal,[],[f480]) ).

fof(f517,plain,
    sK4 = s(sK6,sK5),
    inference(resolution,[],[f296,f380]) ).

fof(f578,plain,
    ! [X0,X1] :
      ( s(X1,X0) != X0
      | s(X1,X0) = X1 ),
    inference(superposition,[],[f300,f297]) ).

fof(f597,plain,
    ! [X2,X3,X0,X1,X6,X7,X4,X5] :
      ( ~ opposite(X7,X4,X5,X3)
      | X4 = X5
      | ~ s_col(X4,X5,X2)
      | ~ s_col(X4,X5,X6)
      | ~ perp(X4,X5,X7,X6)
      | ~ perp(X4,X5,X3,X2)
      | ~ s_m(X6,X1,X2)
      | sameside(s(X1,X0),X6,X7)
      | ~ le(X2,X3,X6,X7)
      | X2 = X6
      | ~ sameside(X0,X2,X3) ),
    inference(superposition,[],[f376,f297]) ).

fof(f598,plain,
    s_m(sK4,sK6,sK5),
    inference(resolution,[],[f291,f380]) ).

fof(f617,plain,
    opposite(sK3,sK1,sK2,sK0),
    inference(resolution,[],[f371,f386]) ).

fof(f649,plain,
    ( sK4 != sK5
    | sK4 = sK6 ),
    inference(superposition,[],[f578,f517]) ).

fof(f660,definition,
    ( spl9_15
  <=> sK4 = sK6 ),
    introduced(definition,[new_symbols(definition,[spl9_15])],[avatar_definition]) ).

fof(f662,plain,
    ( sK4 = sK6
    | ~ spl9_15 ),
    inference(avatar_component_clause,[],[f660]) ).

fof(f664,definition,
    ( spl9_16
  <=> sK4 = sK5 ),
    introduced(definition,[new_symbols(definition,[spl9_16])],[avatar_definition]) ).

fof(f665,plain,
    ( sK4 = sK5
    | ~ spl9_16 ),
    inference(avatar_component_clause,[],[f664]) ).

fof(f666,plain,
    ( sK4 != sK5
    | spl9_16 ),
    inference(avatar_component_clause,[],[f664]) ).

fof(f667,plain,
    ( spl9_15
    | ~ spl9_16 ),
    inference(avatar_split_clause,[],[f649,f664,f660]) ).

fof(f683,plain,
    ! [X2,X3,X0,X1] :
      ( sK1 = sK2
      | ~ s_col(sK1,sK2,X0)
      | ~ s_col(sK1,sK2,X1)
      | ~ perp(sK1,sK2,sK0,X1)
      | ~ perp(sK1,sK2,sK3,X0)
      | ~ s_m(X1,X2,X0)
      | ~ sameside(X3,X1,sK0)
      | ~ le(X0,sK3,X1,sK0)
      | X0 = X1
      | sameside(s(X2,X3),X0,sK3) ),
    inference(resolution,[],[f375,f386]) ).

fof(f684,plain,
    ! [X2,X3,X0,X1] :
      ( ~ perp(sK1,sK2,sK3,X0)
      | ~ s_col(sK1,sK2,X1)
      | ~ perp(sK1,sK2,sK0,X1)
      | ~ s_col(sK1,sK2,X0)
      | ~ s_m(X1,X2,X0)
      | ~ sameside(X3,X1,sK0)
      | ~ le(X0,sK3,X1,sK0)
      | X0 = X1
      | sameside(s(X2,X3),X0,sK3) ),
    inference(forward_subsumption_resolution,[],[f683,f385]) ).

fof(f685,plain,
    ! [X2,X0,X1] :
      ( ~ s_col(sK1,sK2,X0)
      | ~ perp(sK1,sK2,sK0,X0)
      | ~ s_col(sK1,sK2,sK4)
      | ~ s_m(X0,X1,sK4)
      | ~ sameside(X2,X0,sK0)
      | ~ le(sK4,sK3,X0,sK0)
      | sK4 = X0
      | sameside(s(X1,X2),sK4,sK3) ),
    inference(resolution,[],[f684,f381]) ).

fof(f686,plain,
    ! [X2,X0,X1] :
      ( ~ perp(sK1,sK2,sK0,X0)
      | ~ s_col(sK1,sK2,X0)
      | ~ s_m(X0,X1,sK4)
      | ~ sameside(X2,X0,sK0)
      | ~ le(sK4,sK3,X0,sK0)
      | sK4 = X0
      | sameside(s(X1,X2),sK4,sK3) ),
    inference(forward_subsumption_resolution,[],[f685,f384]) ).

fof(f687,plain,
    ! [X0,X1] :
      ( ~ s_col(sK1,sK2,sK5)
      | ~ s_m(sK5,X0,sK4)
      | ~ sameside(X1,sK5,sK0)
      | ~ le(sK4,sK3,sK5,sK0)
      | sK4 = sK5
      | sameside(s(X0,X1),sK4,sK3) ),
    inference(resolution,[],[f686,f382]) ).

fof(f688,plain,
    ! [X0,X1] :
      ( ~ s_m(sK5,X0,sK4)
      | ~ sameside(X1,sK5,sK0)
      | ~ le(sK4,sK3,sK5,sK0)
      | sK4 = sK5
      | sameside(s(X0,X1),sK4,sK3) ),
    inference(forward_subsumption_resolution,[],[f687,f383]) ).

fof(f689,plain,
    ( ! [X0,X1] :
        ( ~ s_m(sK5,X0,sK4)
        | ~ sameside(X1,sK5,sK0)
        | ~ le(sK4,sK3,sK5,sK0)
        | sameside(s(X0,X1),sK4,sK3) )
    | spl9_16 ),
    inference(forward_subsumption_resolution,[],[f688,f666]) ).

fof(f691,definition,
    ( spl9_20
  <=> le(sK4,sK3,sK5,sK0) ),
    introduced(definition,[new_symbols(definition,[spl9_20])],[avatar_definition]) ).

fof(f693,plain,
    ( ~ le(sK4,sK3,sK5,sK0)
    | spl9_20 ),
    inference(avatar_component_clause,[],[f691]) ).

fof(f695,definition,
    ( spl9_21
  <=> ! [X0,X1] :
        ( ~ s_m(sK5,X0,sK4)
        | sameside(s(X0,X1),sK4,sK3)
        | ~ sameside(X1,sK5,sK0) ) ),
    introduced(definition,[new_symbols(definition,[spl9_21])],[avatar_definition]) ).

fof(f696,plain,
    ( ! [X0,X1] :
        ( sameside(s(X0,X1),sK4,sK3)
        | ~ s_m(sK5,X0,sK4)
        | ~ sameside(X1,sK5,sK0) )
    | ~ spl9_21 ),
    inference(avatar_component_clause,[],[f695]) ).

fof(f697,plain,
    ( ~ spl9_20
    | spl9_21
    | spl9_16 ),
    inference(avatar_split_clause,[],[f689,f664,f695,f691]) ).

fof(f731,plain,
    ! [X2,X0,X1] :
      ( sK1 = sK2
      | ~ s_col(sK1,sK2,X0)
      | ~ perp(sK1,sK2,sK0,X0)
      | ~ perp(sK1,sK2,sK3,X0)
      | ~ s_m(X0,X1,X0)
      | ~ sameside(X2,X0,sK0)
      | sameside(s(X1,X2),X0,sK3) ),
    inference(resolution,[],[f489,f386]) ).

fof(f732,plain,
    ! [X2,X0,X1] :
      ( ~ perp(sK1,sK2,sK3,X0)
      | ~ perp(sK1,sK2,sK0,X0)
      | ~ s_col(sK1,sK2,X0)
      | ~ s_m(X0,X1,X0)
      | ~ sameside(X2,X0,sK0)
      | sameside(s(X1,X2),X0,sK3) ),
    inference(forward_subsumption_resolution,[],[f731,f385]) ).

fof(f733,plain,
    ! [X0,X1] :
      ( ~ perp(sK1,sK2,sK0,sK4)
      | ~ s_col(sK1,sK2,sK4)
      | ~ s_m(sK4,X0,sK4)
      | ~ sameside(X1,sK4,sK0)
      | sameside(s(X0,X1),sK4,sK3) ),
    inference(resolution,[],[f732,f381]) ).

fof(f734,plain,
    ! [X0,X1] :
      ( ~ perp(sK1,sK2,sK0,sK4)
      | ~ s_m(sK4,X0,sK4)
      | ~ sameside(X1,sK4,sK0)
      | sameside(s(X0,X1),sK4,sK3) ),
    inference(forward_subsumption_resolution,[],[f733,f384]) ).

fof(f736,definition,
    ( spl9_22
  <=> ! [X0,X1] :
        ( ~ s_m(sK4,X0,sK4)
        | sameside(s(X0,X1),sK4,sK3)
        | ~ sameside(X1,sK4,sK0) ) ),
    introduced(definition,[new_symbols(definition,[spl9_22])],[avatar_definition]) ).

fof(f737,plain,
    ( ! [X0,X1] :
        ( sameside(s(X0,X1),sK4,sK3)
        | ~ s_m(sK4,X0,sK4)
        | ~ sameside(X1,sK4,sK0) )
    | ~ spl9_22 ),
    inference(avatar_component_clause,[],[f736]) ).

fof(f739,definition,
    ( spl9_23
  <=> perp(sK1,sK2,sK0,sK4) ),
    introduced(definition,[new_symbols(definition,[spl9_23])],[avatar_definition]) ).

fof(f741,plain,
    ( ~ perp(sK1,sK2,sK0,sK4)
    | spl9_23 ),
    inference(avatar_component_clause,[],[f739]) ).

fof(f742,plain,
    ( spl9_22
    | ~ spl9_23 ),
    inference(avatar_split_clause,[],[f734,f739,f736]) ).

fof(f808,plain,
    ! [X2,X3,X0,X1] :
      ( sK1 = sK2
      | ~ s_col(sK1,sK2,X0)
      | ~ s_col(sK1,sK2,X1)
      | ~ perp(sK1,sK2,sK3,X1)
      | ~ perp(sK1,sK2,sK0,X0)
      | ~ s_m(X1,X2,X0)
      | sameside(s(X2,X3),X1,sK3)
      | ~ le(X0,sK0,X1,sK3)
      | X0 = X1
      | ~ sameside(X3,X0,sK0) ),
    inference(resolution,[],[f617,f597]) ).

fof(f812,plain,
    ! [X2,X3,X0,X1] :
      ( ~ perp(sK1,sK2,sK3,X1)
      | ~ s_col(sK1,sK2,X1)
      | ~ s_col(sK1,sK2,X0)
      | ~ perp(sK1,sK2,sK0,X0)
      | ~ s_m(X1,X2,X0)
      | sameside(s(X2,X3),X1,sK3)
      | ~ le(X0,sK0,X1,sK3)
      | X0 = X1
      | ~ sameside(X3,X0,sK0) ),
    inference(forward_subsumption_resolution,[],[f808,f385]) ).

fof(f815,plain,
    ! [X2,X0,X1] :
      ( ~ s_col(sK1,sK2,sK4)
      | ~ s_col(sK1,sK2,X0)
      | ~ perp(sK1,sK2,sK0,X0)
      | ~ s_m(sK4,X1,X0)
      | sameside(s(X1,X2),sK4,sK3)
      | ~ le(X0,sK0,sK4,sK3)
      | sK4 = X0
      | ~ sameside(X2,X0,sK0) ),
    inference(resolution,[],[f812,f381]) ).

fof(f816,plain,
    ! [X2,X0,X1] :
      ( ~ perp(sK1,sK2,sK0,X0)
      | ~ s_col(sK1,sK2,X0)
      | ~ s_m(sK4,X1,X0)
      | sameside(s(X1,X2),sK4,sK3)
      | ~ le(X0,sK0,sK4,sK3)
      | sK4 = X0
      | ~ sameside(X2,X0,sK0) ),
    inference(forward_subsumption_resolution,[],[f815,f384]) ).

fof(f817,plain,
    ! [X0,X1] :
      ( ~ s_col(sK1,sK2,sK5)
      | ~ s_m(sK4,X0,sK5)
      | sameside(s(X0,X1),sK4,sK3)
      | ~ le(sK5,sK0,sK4,sK3)
      | sK4 = sK5
      | ~ sameside(X1,sK5,sK0) ),
    inference(resolution,[],[f816,f382]) ).

fof(f818,plain,
    ! [X0,X1] :
      ( ~ s_m(sK4,X0,sK5)
      | sameside(s(X0,X1),sK4,sK3)
      | ~ le(sK5,sK0,sK4,sK3)
      | sK4 = sK5
      | ~ sameside(X1,sK5,sK0) ),
    inference(forward_subsumption_resolution,[],[f817,f383]) ).

fof(f819,plain,
    ( ! [X0,X1] :
        ( ~ s_m(sK4,X0,sK5)
        | sameside(s(X0,X1),sK4,sK3)
        | ~ le(sK5,sK0,sK4,sK3)
        | ~ sameside(X1,sK5,sK0) )
    | spl9_16 ),
    inference(forward_subsumption_resolution,[],[f818,f666]) ).

fof(f821,definition,
    ( spl9_30
  <=> le(sK5,sK0,sK4,sK3) ),
    introduced(definition,[new_symbols(definition,[spl9_30])],[avatar_definition]) ).

fof(f823,plain,
    ( ~ le(sK5,sK0,sK4,sK3)
    | spl9_30 ),
    inference(avatar_component_clause,[],[f821]) ).

fof(f825,definition,
    ( spl9_31
  <=> ! [X0,X1] :
        ( ~ s_m(sK4,X0,sK5)
        | ~ sameside(X1,sK5,sK0)
        | sameside(s(X0,X1),sK4,sK3) ) ),
    introduced(definition,[new_symbols(definition,[spl9_31])],[avatar_definition]) ).

fof(f826,plain,
    ( ! [X0,X1] :
        ( sameside(s(X0,X1),sK4,sK3)
        | ~ sameside(X1,sK5,sK0)
        | ~ s_m(sK4,X0,sK5) )
    | ~ spl9_31 ),
    inference(avatar_component_clause,[],[f825]) ).

fof(f827,plain,
    ( ~ spl9_30
    | spl9_31
    | spl9_16 ),
    inference(avatar_split_clause,[],[f819,f664,f825,f821]) ).

fof(f1311,plain,
    ( le(sK4,sK3,sK5,sK0)
    | spl9_30 ),
    inference(resolution,[],[f254,f823]) ).

fof(f1313,plain,
    ( $false
    | spl9_20
    | spl9_30 ),
    inference(forward_subsumption_resolution,[],[f1311,f693]) ).

fof(f1314,plain,
    ( spl9_20
    | spl9_30 ),
    inference(avatar_contradiction_clause,[],[f1313]) ).

fof(f1322,plain,
    ( sameside(sF8,sK4,sK3)
    | ~ s_m(sK5,sK6,sK4)
    | ~ sameside(sK7,sK5,sK0)
    | ~ spl9_21 ),
    inference(superposition,[],[f696,f487]) ).

fof(f1328,plain,
    ( ~ s_m(sK5,sK6,sK4)
    | ~ sameside(sK7,sK5,sK0)
    | ~ spl9_21 ),
    inference(forward_subsumption_resolution,[],[f1322,f488]) ).

fof(f1330,plain,
    ( ~ sameside(sK7,sK5,sK0)
    | ~ spl9_21 ),
    inference(forward_subsumption_resolution,[],[f1328,f380]) ).

fof(f1331,plain,
    ( $false
    | ~ spl9_21 ),
    inference(forward_subsumption_resolution,[],[f1330,f379]) ).

fof(f1332,plain,
    ~ spl9_21,
    inference(avatar_contradiction_clause,[],[f1331]) ).

fof(f1334,plain,
    ( sameside(sK7,sK4,sK0)
    | ~ spl9_16 ),
    inference(superposition,[],[f379,f665]) ).

fof(f1336,plain,
    ( perp(sK1,sK2,sK0,sK4)
    | ~ spl9_16 ),
    inference(superposition,[],[f382,f665]) ).

fof(f1364,plain,
    ( $false
    | ~ spl9_16
    | spl9_23 ),
    inference(forward_subsumption_resolution,[],[f1336,f741]) ).

fof(f1365,plain,
    ( ~ spl9_16
    | spl9_23 ),
    inference(avatar_contradiction_clause,[],[f1364]) ).

fof(f1372,plain,
    ( sameside(sF8,sK4,sK3)
    | ~ s_m(sK4,sK6,sK4)
    | ~ sameside(sK7,sK4,sK0)
    | ~ spl9_22 ),
    inference(superposition,[],[f737,f487]) ).

fof(f1379,plain,
    ( ~ s_m(sK4,sK6,sK4)
    | ~ sameside(sK7,sK4,sK0)
    | ~ spl9_22 ),
    inference(forward_subsumption_resolution,[],[f1372,f488]) ).

fof(f1382,plain,
    ( ~ s_m(sK4,sK6,sK4)
    | ~ spl9_16
    | ~ spl9_22 ),
    inference(forward_subsumption_resolution,[],[f1379,f1334]) ).

fof(f1385,plain,
    ( ~ s_m(sK4,sK4,sK4)
    | ~ spl9_15
    | ~ spl9_16
    | ~ spl9_22 ),
    inference(forward_demodulation,[],[f1382,f662]) ).

fof(f1387,plain,
    ( $false
    | ~ spl9_15
    | ~ spl9_16
    | ~ spl9_22 ),
    inference(forward_subsumption_resolution,[],[f1385,f472]) ).

fof(f1388,plain,
    ( ~ spl9_15
    | ~ spl9_16
    | ~ spl9_22 ),
    inference(avatar_contradiction_clause,[],[f1387]) ).

fof(f1401,plain,
    ( sameside(sF8,sK4,sK3)
    | ~ sameside(sK7,sK5,sK0)
    | ~ s_m(sK4,sK6,sK5)
    | ~ spl9_31 ),
    inference(superposition,[],[f826,f487]) ).

fof(f1406,plain,
    ( ~ sameside(sK7,sK5,sK0)
    | ~ s_m(sK4,sK6,sK5)
    | ~ spl9_31 ),
    inference(forward_subsumption_resolution,[],[f1401,f488]) ).

fof(f1407,plain,
    ( ~ s_m(sK4,sK6,sK5)
    | ~ spl9_31 ),
    inference(forward_subsumption_resolution,[],[f1406,f379]) ).

fof(f1408,plain,
    ( $false
    | ~ spl9_31 ),
    inference(forward_subsumption_resolution,[],[f1407,f598]) ).

fof(f1409,plain,
    ~ spl9_31,
    inference(avatar_contradiction_clause,[],[f1408]) ).

cnf(s6,plain,
    ( spl9_15
    | ~ spl9_16 ),
    inference(sat_conversion,[],[f667]) ).

cnf(s9,plain,
    ( spl9_16
    | ~ spl9_20
    | spl9_21 ),
    inference(sat_conversion,[],[f697]) ).

cnf(s10,plain,
    ( spl9_22
    | ~ spl9_23 ),
    inference(sat_conversion,[],[f742]) ).

cnf(s13,plain,
    ( spl9_16
    | ~ spl9_30
    | spl9_31 ),
    inference(sat_conversion,[],[f827]) ).

cnf(s40,plain,
    ( spl9_20
    | spl9_30 ),
    inference(sat_conversion,[],[f1314]) ).

cnf(s42,plain,
    ~ spl9_21,
    inference(sat_conversion,[],[f1332]) ).

cnf(s43,plain,
    ( ~ spl9_16
    | spl9_23 ),
    inference(sat_conversion,[],[f1365]) ).

cnf(s44,plain,
    ( ~ spl9_15
    | ~ spl9_16
    | ~ spl9_22 ),
    inference(sat_conversion,[],[f1388]) ).

cnf(s46,plain,
    ~ spl9_31,
    inference(sat_conversion,[],[f1409]) ).

cnf(s47,plain,
    ( spl9_16
    | ~ spl9_30 ),
    inference(rat,[],[s13,s46]) ).

cnf(s48,plain,
    ( spl9_16
    | ~ spl9_20 ),
    inference(rat,[],[s9,s42]) ).

cnf(s49,plain,
    spl9_16,
    inference(rat,[],[s40,s48,s47]) ).

cnf(s50,plain,
    spl9_23,
    inference(rat,[],[s43,s49]) ).

cnf(s52,plain,
    spl9_15,
    inference(rat,[],[s6,s49]) ).

cnf(s53,plain,
    spl9_22,
    inference(rat,[],[s10,s50]) ).

cnf(s54,plain,
    $false,
    inference(rat,[],[s44,s49,s52,s53]) ).

fof(f1410,plain,
    $false,
    inference(avatar_sat_refutation,[],[s54]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : GEO517+1 : TPTP v9.3.1. Released v7.0.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.37  % Computer : n001.cluster.edu
% 0.10/0.37  % Model    : x86_64 x86_64
% 0.10/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37  % Memory   : 8046.5625MB
% 0.10/0.37  % OS       : Linux 6.8.0-71-generic
% 0.10/0.37  % CPULimit : 300
% 0.10/0.37  % WCLimit  : 300
% 0.10/0.37  % DateTime : Sun Sep 27 08:30:45 UTC 2026
% 0.10/0.37  % CPUTime  : 
% 0.10/0.37  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.41  Running first-order theorem proving
% 0.10/0.41  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
% 7.47/2.05  % (3245670)Detected formulas, will run a generic FOF schedule.
% 7.47/2.05  % (3245679)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2666658339:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 7.47/2.05  % (3245678)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1861734918:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 7.47/2.05  % (3245676)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=313073695:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 7.47/2.05  % (3245675)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=316103238:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 7.47/2.05  % (3245677)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=3862755893:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 7.47/2.05  % (3245680)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=402361106:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 7.47/2.05  % (3245679)Instruction limit reached! 
% 7.47/2.05  % (3245679)------------------------------
% 7.47/2.05  % (3245679)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.47/2.05  % (3245679)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.47/2.05  % (3245679)CaDiCaL version: 2.1.3
% 7.47/2.05  % (3245681)dis-21_1_sil=8000:lcm=predicate:random_seed=3864803542: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)
% 7.47/2.05  % (3245679)Termination reason: Instruction limit
% 7.47/2.05  % (3245679)Termination phase: Saturation
% 7.47/2.05  % (3245679)Time elapsed: 0.038 s
% 7.47/2.05  % (3245679)Peak memory usage: 88 MB
% 7.47/2.05  % (3245679)Instructions burned: 120 (million)
% 7.47/2.05  % (3245680)Instruction limit reached! 
% 7.47/2.05  % (3245680)------------------------------
% 7.47/2.05  % (3245680)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.47/2.05  % (3245680)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.47/2.05  % (3245680)CaDiCaL version: 2.1.3
% 7.47/2.05  % (3245680)Termination reason: Instruction limit
% 7.47/2.05  % (3245680)Termination phase: Saturation
% 7.47/2.05  % (3245680)Time elapsed: 0.060 s
% 7.47/2.05  % (3245680)Peak memory usage: 90 MB
% 7.47/2.05  % (3245680)Instructions burned: 140 (million)
% 7.47/2.05  % (3245678)Instruction limit reached! 
% 7.47/2.05  % (3245678)------------------------------
% 7.47/2.05  % (3245678)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.47/2.05  % (3245678)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.47/2.05  % (3245678)CaDiCaL version: 2.1.3
% 7.47/2.05  % (3245678)Termination reason: Instruction limit
% 7.47/2.05  % (3245678)Termination phase: Saturation
% 7.47/2.05  % (3245678)Time elapsed: 0.073 s
% 7.47/2.05  % (3245678)Peak memory usage: 90 MB
% 7.47/2.05  % (3245678)Instructions burned: 110 (million)
% 7.47/2.05  % (3245681)Instruction limit reached! 
% 7.47/2.05  % (3245681)------------------------------
% 7.47/2.05  % (3245681)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.47/2.05  % (3245681)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.47/2.05  % (3245681)CaDiCaL version: 2.1.3
% 7.47/2.05  % (3245681)Termination reason: Instruction limit
% 7.47/2.05  % (3245681)Termination phase: Saturation
% 7.47/2.05  % (3245681)Time elapsed: 0.075 s
% 7.47/2.05  % (3245681)Peak memory usage: 89 MB
% 7.47/2.05  % (3245681)Instructions burned: 130 (million)
% 7.47/2.05  % (3245689)lrs+10_1_sil=8000:sp=occurrence:random_seed=47482621:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 7.47/2.05  % (3245690)lrs+10_1_sil=32000:urr=on:br=off:random_seed=4135938448:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 7.47/2.05  % (3245691)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3295183516:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 7.47/2.05  % (3245690)Instruction limit reached! 
% 7.47/2.05  % (3245690)------------------------------
% 7.47/2.05  % (3245690)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.47/2.05  % (3245690)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.47/2.05  % (3245690)CaDiCaL version: 2.1.3
% 7.47/2.05  % (3245690)Termination reason: Instruction limit
% 7.47/2.05  % (3245690)Termination phase: Saturation
% 7.47/2.05  % (3245690)Time elapsed: 0.042 s
% 7.47/2.05  % (3245690)Peak memory usage: 89 MB
% 7.47/2.05  % (3245690)Instructions burned: 158 (million)
% 7.47/2.05  % (3245692)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=1999630620:s2a=on:i=248:s2at=1.23:gtg=position_2997 on theBenchmark for (2997ds/248Mi)
% 7.47/2.05  % (3245689)Instruction limit reached! 
% 7.47/2.05  % (3245689)------------------------------
% 7.47/2.05  % (3245689)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.47/2.05  % (3245689)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.47/2.05  % (3245689)CaDiCaL version: 2.1.3
% 7.47/2.05  % (3245689)Termination reason: Instruction limit
% 7.47/2.05  % (3245689)Termination phase: Saturation
% 7.47/2.05  % (3245689)Time elapsed: 0.178 s
% 7.47/2.05  % (3245689)Peak memory usage: 91 MB
% 7.47/2.05  % (3245689)Instructions burned: 286 (million)
% 7.47/2.05  % (3245696)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=1388517681:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2996 on theBenchmark for (2996ds/294Mi)
% 7.47/2.05  % (3245692)Instruction limit reached! 
% 7.47/2.05  % (3245692)------------------------------
% 7.47/2.05  % (3245692)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.47/2.05  % (3245692)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.47/2.05  % (3245692)CaDiCaL version: 2.1.3
% 7.47/2.05  % (3245692)Termination reason: Instruction limit
% 7.47/2.05  % (3245692)Termination phase: Saturation
% 7.47/2.05  % (3245692)Time elapsed: 0.125 s
% 7.47/2.05  % (3245692)Peak memory usage: 90 MB
% 7.47/2.05  % (3245692)Instructions burned: 248 (million)
% 7.47/2.05  % (3245696)Instruction limit reached! 
% 7.47/2.05  % (3245696)------------------------------
% 7.47/2.05  % (3245696)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.47/2.05  % (3245696)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.47/2.05  % (3245696)CaDiCaL version: 2.1.3
% 7.47/2.05  % (3245696)Termination reason: Instruction limit
% 7.47/2.05  % (3245696)Termination phase: Saturation
% 7.47/2.05  % (3245696)Time elapsed: 0.085 s
% 7.47/2.05  % (3245696)Peak memory usage: 89 MB
% 7.47/2.05  % (3245696)Instructions burned: 295 (million)
% 7.47/2.05  % (3245691)Instruction limit reached! 
% 7.47/2.05  % (3245691)------------------------------
% 7.47/2.05  % (3245691)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.47/2.05  % (3245691)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.47/2.05  % (3245691)CaDiCaL version: 2.1.3
% 7.47/2.05  % (3245691)Termination reason: Instruction limit
% 7.47/2.05  % (3245691)Termination phase: Saturation
% 7.47/2.05  % (3245691)Time elapsed: 0.209 s
% 7.47/2.05  % (3245691)Peak memory usage: 92 MB
% 7.47/2.05  % (3245691)Instructions burned: 326 (million)
% 7.47/2.05  % (3245699)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=4158841147:i=2350_2995 on theBenchmark for (2995ds/2350Mi)
% 7.47/2.05  % (3245700)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=705096478:cts=off:i=113:fsr=off:ss=included:sgt=4_2994 on theBenchmark for (2994ds/113Mi)
% 7.47/2.05  % (3245701)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=2781548562:i=127:av=off:fsr=off:sup=off_2994 on theBenchmark for (2994ds/127Mi)
% 7.47/2.05  % (3245702)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=2547689066:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2994 on theBenchmark for (2994ds/114Mi)
% 7.47/2.05  % (3245700)Instruction limit reached! 
% 7.47/2.05  % (3245700)------------------------------
% 7.47/2.05  % (3245700)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.47/2.05  % (3245700)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.47/2.05  % (3245700)CaDiCaL version: 2.1.3
% 7.47/2.05  % (3245700)Termination reason: Instruction limit
% 7.47/2.05  % (3245700)Termination phase: Saturation
% 7.47/2.05  % (3245700)Time elapsed: 0.066 s
% 7.47/2.05  % (3245700)Peak memory usage: 90 MB
% 7.47/2.05  % (3245700)Instructions burned: 113 (million)
% 7.47/2.05  % (3245701)Instruction limit reached! 
% 7.47/2.05  % (3245701)------------------------------
% 7.47/2.05  % (3245701)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.47/2.05  % (3245701)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.47/2.05  % (3245701)CaDiCaL version: 2.1.3
% 7.47/2.05  % (3245701)Termination reason: Instruction limit
% 7.47/2.05  % (3245701)Termination phase: Saturation
% 7.47/2.05  % (3245701)Time elapsed: 0.036 s
% 7.47/2.05  % (3245701)Peak memory usage: 89 MB
% 7.47/2.05  % (3245701)Instructions burned: 129 (million)
% 7.47/2.05  % (3245702)Instruction limit reached! 
% 7.47/2.05  % (3245702)------------------------------
% 7.47/2.05  % (3245702)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.47/2.05  % (3245702)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.47/2.05  % (3245702)CaDiCaL version: 2.1.3
% 7.47/2.05  % (3245702)Termination reason: Instruction limit
% 7.47/2.05  % (3245702)Termination phase: Saturation
% 7.47/2.05  % (3245702)Time elapsed: 0.058 s
% 7.47/2.05  % (3245702)Peak memory usage: 89 MB
% 7.47/2.05  % (3245702)Instructions burned: 114 (million)
% 7.47/2.05  % (3245708)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=2323629201:i=437:sd=1:aac=none:ss=included_2992 on theBenchmark for (2992ds/437Mi)
% 7.47/2.05  % (3245707)lrs+10_1_sil=8000:sp=occurrence:random_seed=2948537107:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2993 on theBenchmark for (2993ds/907Mi)
% 7.47/2.05  % (3245709)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=3055866587:i=5202:ss=axioms:sgt=16_2992 on theBenchmark for (2992ds/5202Mi)
% 7.47/2.05  % (3245675)First to succeed.
% 7.47/2.05  % (3245675)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3245670"
% 7.47/2.05  % (3245708)Instruction limit reached! 
% 7.47/2.05  % (3245708)------------------------------
% 7.47/2.05  % (3245708)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.47/2.05  % (3245708)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.47/2.05  % (3245708)CaDiCaL version: 2.1.3
% 7.47/2.05  % (3245708)Termination reason: Instruction limit
% 7.47/2.05  % (3245708)Termination phase: Saturation
% 7.47/2.05  % (3245708)Time elapsed: 0.143 s
% 7.47/2.05  % (3245708)Peak memory usage: 92 MB
% 7.47/2.05  % (3245708)Instructions burned: 443 (million)
% 7.47/2.05  % (3245713)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=3533782585:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2990 on theBenchmark for (2990ds/134Mi)
% 7.47/2.05  % (3245713)Instruction limit reached! 
% 7.47/2.05  % (3245713)------------------------------
% 7.47/2.05  % (3245713)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.47/2.05  % (3245713)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.47/2.05  % (3245713)CaDiCaL version: 2.1.3
% 7.47/2.05  % (3245713)Termination reason: Instruction limit
% 7.47/2.05  % (3245713)Termination phase: Saturation
% 7.47/2.05  % (3245713)Time elapsed: 0.040 s
% 7.47/2.05  % (3245713)Peak memory usage: 90 MB
% 7.47/2.05  % (3245713)Instructions burned: 134 (million)
% 7.47/2.05  % (3245715)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=176408768:st=8:i=592:sd=3:ep=RST:ss=axioms_2989 on theBenchmark for (2989ds/592Mi)
% 7.47/2.05  % (3245675)Refutation found. Thanks to Tanya!
% 7.47/2.05  % SZS status Theorem for theBenchmark
% 7.47/2.05  % SZS output start Proof for theBenchmark
% See solution above
% 8.84/2.15  % (3245675)------------------------------
% 8.84/2.15  % (3245675)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.84/2.15  % (3245675)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.84/2.15  % (3245675)CaDiCaL version: 2.1.3
% 8.84/2.15  % (3245675)Termination reason: Refutation
% 8.84/2.15  % (3245675)Time elapsed: 0.776 s
% 8.84/2.15  % (3245675)Peak memory usage: 134 MB
% 8.84/2.15  % (3245675)Instructions burned: 1166 (million)
% 8.84/2.15  % (3245675)------------------------------
% 8.84/2.15  % (3245675)------------------------------
% 8.84/2.15  % (3245670)Success in time 1.185 s
% 8.84/2.15  % Vampire exiting
%------------------------------------------------------------------------------