TSTP Solution File: GEO481+1 by Vampire---4.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.9
% Problem  : GEO481+1 : TPTP v8.2.0. Released v7.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire %s %d THM

% Computer : n001.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Mon Jun 24 06:27:32 EDT 2024

% Result   : Theorem 16.65s 3.66s
% Output   : Refutation 16.65s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :   10
% Syntax   : Number of formulae    :   51 (   7 unt;   0 def)
%            Number of atoms       :  117 (  76 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :  107 (  41   ~;  43   |;   0   &)
%                                         (  15 <=>;   7  =>;   0  <=;   1 <~>)
%            Maximal formula depth :   12 (   5 avg)
%            Maximal term depth    :   15 (   2 avg)
%            Number of predicates  :    6 (   4 usr;   5 prp; 0-2 aty)
%            Number of functors    :   14 (  14 usr;   8 con; 0-4 aty)
%            Number of variables   :  122 ( 116   !;   6   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f8353,plain,
    $false,
    inference(avatar_sat_refutation,[],[f6292,f6297,f6302,f6835,f8352]) ).

fof(f8352,plain,
    ( ~ spl1152_1
    | spl1152_2 ),
    inference(avatar_contradiction_clause,[],[f8351]) ).

fof(f8351,plain,
    ( $false
    | ~ spl1152_1
    | spl1152_2 ),
    inference(subsumption_resolution,[],[f8213,f7566]) ).

fof(f7566,plain,
    ( s(sK0,i(s(fun(sK1,sK0),sK2),s(sK1,sK87(sK0,sK1,sK2)))) = s(sK0,i(s(fun(sK1,sK0),sK2),s(sK1,sK88(sK0,sK1,sK2))))
    | spl1152_2 ),
    inference(unit_resulting_resolution,[],[f7203,f4797]) ).

fof(f4797,plain,
    ! [X2,X0,X1,X5] :
      ( s(X1,X5) = s(X1,i(s(fun(X0,X1),i(s(fun(fun(X1,X0),fun(X0,X1)),inverse),s(fun(X1,X0),X2))),s(X0,i(s(fun(X1,X0),X2),s(X1,X5)))))
      | s(X0,i(s(fun(X1,X0),X2),s(X1,sK87(X0,X1,X2)))) = s(X0,i(s(fun(X1,X0),X2),s(X1,sK88(X0,X1,X2)))) ),
    inference(cnf_transformation,[],[f4208]) ).

fof(f4208,plain,
    ! [X0,X1,X2] :
      ( ! [X3,X4] :
          ( s(X1,X3) = s(X1,X4)
          | s(X0,i(s(fun(X1,X0),X2),s(X1,X3))) != s(X0,i(s(fun(X1,X0),X2),s(X1,X4))) )
    <=> ! [X5] : s(X1,X5) = s(X1,i(s(fun(X0,X1),i(s(fun(fun(X1,X0),fun(X0,X1)),inverse),s(fun(X1,X0),X2))),s(X0,i(s(fun(X1,X0),X2),s(X1,X5))))) ),
    inference(ennf_transformation,[],[f3704]) ).

fof(f3704,plain,
    ! [X0,X1,X2] :
      ( ! [X3,X4] :
          ( s(X0,i(s(fun(X1,X0),X2),s(X1,X3))) = s(X0,i(s(fun(X1,X0),X2),s(X1,X4)))
         => s(X1,X3) = s(X1,X4) )
    <=> ! [X5] : s(X1,X5) = s(X1,i(s(fun(X0,X1),i(s(fun(fun(X1,X0),fun(X0,X1)),inverse),s(fun(X1,X0),X2))),s(X0,i(s(fun(X1,X0),X2),s(X1,X5))))) ),
    inference(rectify,[],[f3642]) ).

fof(f3642,axiom,
    ! [X1542,X1543,X10] :
      ( ! [X0,X1] :
          ( s(X1542,i(s(fun(X1543,X1542),X10),s(X1543,X0))) = s(X1542,i(s(fun(X1543,X1542),X10),s(X1543,X1)))
         => s(X1543,X0) = s(X1543,X1) )
    <=> ! [X0] : s(X1543,X0) = s(X1543,i(s(fun(X1542,X1543),i(s(fun(fun(X1543,X1542),fun(X1542,X1543)),inverse),s(fun(X1543,X1542),X10))),s(X1542,i(s(fun(X1543,X1542),X10),s(X1543,X0))))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

fof(f7203,plain,
    ( s(sK1,sK5(sK1,sK1,i1,i(s(fun(fun(sK1,sK0),fun(sK1,sK1)),i(s(fun(fun(sK0,sK1),fun(fun(sK1,sK0),fun(sK1,sK1))),o),s(fun(sK0,sK1),i(s(fun(fun(sK1,sK0),fun(sK0,sK1)),inverse),s(fun(sK1,sK0),sK2))))),s(fun(sK1,sK0),sK2)))) != s(sK1,i(s(fun(sK0,sK1),i(s(fun(fun(sK1,sK0),fun(sK0,sK1)),inverse),s(fun(sK1,sK0),sK2))),s(sK0,i(s(fun(sK1,sK0),sK2),s(sK1,sK5(sK1,sK1,i1,i(s(fun(fun(sK1,sK0),fun(sK1,sK1)),i(s(fun(fun(sK0,sK1),fun(fun(sK1,sK0),fun(sK1,sK1))),o),s(fun(sK0,sK1),i(s(fun(fun(sK1,sK0),fun(sK0,sK1)),inverse),s(fun(sK1,sK0),sK2))))),s(fun(sK1,sK0),sK2))))))))
    | spl1152_2 ),
    inference(forward_demodulation,[],[f7202,f4791]) ).

fof(f4791,plain,
    ! [X0,X1] : s(X0,X1) = s(X0,i(s(fun(X0,X0),i1),s(X0,X1))),
    inference(cnf_transformation,[],[f3698]) ).

fof(f3698,plain,
    ! [X0,X1] : s(X0,X1) = s(X0,i(s(fun(X0,X0),i1),s(X0,X1))),
    inference(rectify,[],[f134]) ).

fof(f134,axiom,
    ! [X3,X0] : s(X3,X0) = s(X3,i(s(fun(X3,X3),i1),s(X3,X0))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

fof(f7202,plain,
    ( s(sK1,i(s(fun(sK1,sK1),i1),s(sK1,sK5(sK1,sK1,i1,i(s(fun(fun(sK1,sK0),fun(sK1,sK1)),i(s(fun(fun(sK0,sK1),fun(fun(sK1,sK0),fun(sK1,sK1))),o),s(fun(sK0,sK1),i(s(fun(fun(sK1,sK0),fun(sK0,sK1)),inverse),s(fun(sK1,sK0),sK2))))),s(fun(sK1,sK0),sK2)))))) != s(sK1,i(s(fun(sK0,sK1),i(s(fun(fun(sK1,sK0),fun(sK0,sK1)),inverse),s(fun(sK1,sK0),sK2))),s(sK0,i(s(fun(sK1,sK0),sK2),s(sK1,sK5(sK1,sK1,i1,i(s(fun(fun(sK1,sK0),fun(sK1,sK1)),i(s(fun(fun(sK0,sK1),fun(fun(sK1,sK0),fun(sK1,sK1))),o),s(fun(sK0,sK1),i(s(fun(fun(sK1,sK0),fun(sK0,sK1)),inverse),s(fun(sK1,sK0),sK2))))),s(fun(sK1,sK0),sK2))))))))
    | spl1152_2 ),
    inference(forward_demodulation,[],[f7107,f4666]) ).

fof(f4666,plain,
    ! [X2,X3,X0,X1,X4,X5] : s(X0,i(s(fun(X2,X0),i(s(fun(fun(X2,X1),fun(X2,X0)),i(s(fun(fun(X1,X0),fun(fun(X2,X1),fun(X2,X0))),o),s(fun(X1,X0),X3))),s(fun(X2,X1),X4))),s(X2,X5))) = s(X0,i(s(fun(X1,X0),X3),s(X1,i(s(fun(X2,X1),X4),s(X2,X5))))),
    inference(cnf_transformation,[],[f3665]) ).

fof(f3665,plain,
    ! [X0,X1,X2,X3,X4,X5] : s(X0,i(s(fun(X2,X0),i(s(fun(fun(X2,X1),fun(X2,X0)),i(s(fun(fun(X1,X0),fun(fun(X2,X1),fun(X2,X0))),o),s(fun(X1,X0),X3))),s(fun(X2,X1),X4))),s(X2,X5))) = s(X0,i(s(fun(X1,X0),X3),s(X1,i(s(fun(X2,X1),X4),s(X2,X5))))),
    inference(rectify,[],[f132]) ).

fof(f132,axiom,
    ! [X21,X9,X3,X10,X17,X0] : s(X21,i(s(fun(X3,X21),i(s(fun(fun(X3,X9),fun(X3,X21)),i(s(fun(fun(X9,X21),fun(fun(X3,X9),fun(X3,X21))),o),s(fun(X9,X21),X10))),s(fun(X3,X9),X17))),s(X3,X0))) = s(X21,i(s(fun(X9,X21),X10),s(X9,i(s(fun(X3,X9),X17),s(X3,X0))))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

fof(f7107,plain,
    ( s(sK1,i(s(fun(sK1,sK1),i1),s(sK1,sK5(sK1,sK1,i1,i(s(fun(fun(sK1,sK0),fun(sK1,sK1)),i(s(fun(fun(sK0,sK1),fun(fun(sK1,sK0),fun(sK1,sK1))),o),s(fun(sK0,sK1),i(s(fun(fun(sK1,sK0),fun(sK0,sK1)),inverse),s(fun(sK1,sK0),sK2))))),s(fun(sK1,sK0),sK2)))))) != s(sK1,i(s(fun(sK1,sK1),i(s(fun(fun(sK1,sK0),fun(sK1,sK1)),i(s(fun(fun(sK0,sK1),fun(fun(sK1,sK0),fun(sK1,sK1))),o),s(fun(sK0,sK1),i(s(fun(fun(sK1,sK0),fun(sK0,sK1)),inverse),s(fun(sK1,sK0),sK2))))),s(fun(sK1,sK0),sK2))),s(sK1,sK5(sK1,sK1,i1,i(s(fun(fun(sK1,sK0),fun(sK1,sK1)),i(s(fun(fun(sK0,sK1),fun(fun(sK1,sK0),fun(sK1,sK1))),o),s(fun(sK0,sK1),i(s(fun(fun(sK1,sK0),fun(sK0,sK1)),inverse),s(fun(sK1,sK0),sK2))))),s(fun(sK1,sK0),sK2))))))
    | spl1152_2 ),
    inference(unit_resulting_resolution,[],[f6290,f4622]) ).

fof(f4622,plain,
    ! [X2,X3,X0,X1] :
      ( s(X0,i(s(fun(X1,X0),X2),s(X1,sK5(X0,X1,X2,X3)))) != s(X0,i(s(fun(X1,X0),X3),s(X1,sK5(X0,X1,X2,X3))))
      | s(fun(X1,X0),X2) = s(fun(X1,X0),X3) ),
    inference(cnf_transformation,[],[f3646]) ).

fof(f3646,plain,
    ! [X0,X1,X2,X3] :
      ( s(fun(X1,X0),X2) = s(fun(X1,X0),X3)
    <=> ! [X4] : s(X0,i(s(fun(X1,X0),X2),s(X1,X4))) = s(X0,i(s(fun(X1,X0),X3),s(X1,X4))) ),
    inference(rectify,[],[f91]) ).

fof(f91,axiom,
    ! [X9,X3,X10,X17] :
      ( s(fun(X3,X9),X10) = s(fun(X3,X9),X17)
    <=> ! [X0] : s(X9,i(s(fun(X3,X9),X10),s(X3,X0))) = s(X9,i(s(fun(X3,X9),X17),s(X3,X0))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

fof(f6290,plain,
    ( s(fun(sK1,sK1),i(s(fun(fun(sK1,sK0),fun(sK1,sK1)),i(s(fun(fun(sK0,sK1),fun(fun(sK1,sK0),fun(sK1,sK1))),o),s(fun(sK0,sK1),i(s(fun(fun(sK1,sK0),fun(sK0,sK1)),inverse),s(fun(sK1,sK0),sK2))))),s(fun(sK1,sK0),sK2))) != s(fun(sK1,sK1),i1)
    | spl1152_2 ),
    inference(avatar_component_clause,[],[f6289]) ).

fof(f6289,plain,
    ( spl1152_2
  <=> s(fun(sK1,sK1),i(s(fun(fun(sK1,sK0),fun(sK1,sK1)),i(s(fun(fun(sK0,sK1),fun(fun(sK1,sK0),fun(sK1,sK1))),o),s(fun(sK0,sK1),i(s(fun(fun(sK1,sK0),fun(sK0,sK1)),inverse),s(fun(sK1,sK0),sK2))))),s(fun(sK1,sK0),sK2))) = s(fun(sK1,sK1),i1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1152_2])]) ).

fof(f8213,plain,
    ( s(sK0,i(s(fun(sK1,sK0),sK2),s(sK1,sK87(sK0,sK1,sK2)))) != s(sK0,i(s(fun(sK1,sK0),sK2),s(sK1,sK88(sK0,sK1,sK2))))
    | ~ spl1152_1
    | spl1152_2 ),
    inference(unit_resulting_resolution,[],[f7567,f6287]) ).

fof(f6287,plain,
    ( ! [X3,X4] :
        ( s(sK0,i(s(fun(sK1,sK0),sK2),s(sK1,X3))) != s(sK0,i(s(fun(sK1,sK0),sK2),s(sK1,X4)))
        | s(sK1,X3) = s(sK1,X4) )
    | ~ spl1152_1 ),
    inference(avatar_component_clause,[],[f6286]) ).

fof(f6286,plain,
    ( spl1152_1
  <=> ! [X4,X3] :
        ( s(sK0,i(s(fun(sK1,sK0),sK2),s(sK1,X3))) != s(sK0,i(s(fun(sK1,sK0),sK2),s(sK1,X4)))
        | s(sK1,X3) = s(sK1,X4) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1152_1])]) ).

fof(f7567,plain,
    ( s(sK1,sK87(sK0,sK1,sK2)) != s(sK1,sK88(sK0,sK1,sK2))
    | spl1152_2 ),
    inference(unit_resulting_resolution,[],[f7203,f4798]) ).

fof(f4798,plain,
    ! [X2,X0,X1,X5] :
      ( s(X1,sK87(X0,X1,X2)) != s(X1,sK88(X0,X1,X2))
      | s(X1,X5) = s(X1,i(s(fun(X0,X1),i(s(fun(fun(X1,X0),fun(X0,X1)),inverse),s(fun(X1,X0),X2))),s(X0,i(s(fun(X1,X0),X2),s(X1,X5))))) ),
    inference(cnf_transformation,[],[f4208]) ).

fof(f6835,plain,
    ( ~ spl1152_2
    | spl1152_3
    | ~ spl1152_4 ),
    inference(avatar_contradiction_clause,[],[f6834]) ).

fof(f6834,plain,
    ( $false
    | ~ spl1152_2
    | spl1152_3
    | ~ spl1152_4 ),
    inference(subsumption_resolution,[],[f6833,f6296]) ).

fof(f6296,plain,
    ( s(sK1,sK3) != s(sK1,sK4)
    | spl1152_3 ),
    inference(avatar_component_clause,[],[f6294]) ).

fof(f6294,plain,
    ( spl1152_3
  <=> s(sK1,sK3) = s(sK1,sK4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1152_3])]) ).

fof(f6833,plain,
    ( s(sK1,sK3) = s(sK1,sK4)
    | ~ spl1152_2
    | ~ spl1152_4 ),
    inference(forward_demodulation,[],[f6832,f4791]) ).

fof(f6832,plain,
    ( s(sK1,sK4) = s(sK1,i(s(fun(sK1,sK1),i1),s(sK1,sK3)))
    | ~ spl1152_2
    | ~ spl1152_4 ),
    inference(forward_demodulation,[],[f6738,f4791]) ).

fof(f6738,plain,
    ( s(sK1,i(s(fun(sK1,sK1),i1),s(sK1,sK3))) = s(sK1,i(s(fun(sK1,sK1),i1),s(sK1,sK4)))
    | ~ spl1152_2
    | ~ spl1152_4 ),
    inference(unit_resulting_resolution,[],[f6301,f6291,f4670]) ).

fof(f4670,plain,
    ! [X2,X3,X0,X1,X6,X7,X4,X5] :
      ( s(fun(X1,X0),X3) != s(fun(X1,X0),i(s(fun(fun(X1,X2),fun(X1,X0)),i(s(fun(fun(X2,X0),fun(fun(X1,X2),fun(X1,X0))),o),s(fun(X2,X0),X7))),s(fun(X1,X2),X4)))
      | s(X2,i(s(fun(X1,X2),X4),s(X1,X6))) != s(X2,i(s(fun(X1,X2),X4),s(X1,X5)))
      | s(X0,i(s(fun(X1,X0),X3),s(X1,X5))) = s(X0,i(s(fun(X1,X0),X3),s(X1,X6))) ),
    inference(cnf_transformation,[],[f4162]) ).

fof(f4162,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ! [X5,X6] :
          ( s(X0,i(s(fun(X1,X0),X3),s(X1,X5))) = s(X0,i(s(fun(X1,X0),X3),s(X1,X6)))
          | s(X2,i(s(fun(X1,X2),X4),s(X1,X6))) != s(X2,i(s(fun(X1,X2),X4),s(X1,X5))) )
    <=> ? [X7] : s(fun(X1,X0),X3) = s(fun(X1,X0),i(s(fun(fun(X1,X2),fun(X1,X0)),i(s(fun(fun(X2,X0),fun(fun(X1,X2),fun(X1,X0))),o),s(fun(X2,X0),X7))),s(fun(X1,X2),X4))) ),
    inference(ennf_transformation,[],[f3667]) ).

fof(f3667,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ! [X5,X6] :
          ( s(X2,i(s(fun(X1,X2),X4),s(X1,X6))) = s(X2,i(s(fun(X1,X2),X4),s(X1,X5)))
         => s(X0,i(s(fun(X1,X0),X3),s(X1,X5))) = s(X0,i(s(fun(X1,X0),X3),s(X1,X6))) )
    <=> ? [X7] : s(fun(X1,X0),X3) = s(fun(X1,X0),i(s(fun(fun(X1,X2),fun(X1,X0)),i(s(fun(fun(X2,X0),fun(fun(X1,X2),fun(X1,X0))),o),s(fun(X2,X0),X7))),s(fun(X1,X2),X4))) ),
    inference(rectify,[],[f1880]) ).

fof(f1880,axiom,
    ! [X448,X449,X450,X10,X17] :
      ( ! [X0,X7] :
          ( s(X450,i(s(fun(X449,X450),X17),s(X449,X0))) = s(X450,i(s(fun(X449,X450),X17),s(X449,X7)))
         => s(X448,i(s(fun(X449,X448),X10),s(X449,X0))) = s(X448,i(s(fun(X449,X448),X10),s(X449,X7))) )
    <=> ? [X23] : s(fun(X449,X448),X10) = s(fun(X449,X448),i(s(fun(fun(X449,X450),fun(X449,X448)),i(s(fun(fun(X450,X448),fun(fun(X449,X450),fun(X449,X448))),o),s(fun(X450,X448),X23))),s(fun(X449,X450),X17))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

fof(f6291,plain,
    ( s(fun(sK1,sK1),i(s(fun(fun(sK1,sK0),fun(sK1,sK1)),i(s(fun(fun(sK0,sK1),fun(fun(sK1,sK0),fun(sK1,sK1))),o),s(fun(sK0,sK1),i(s(fun(fun(sK1,sK0),fun(sK0,sK1)),inverse),s(fun(sK1,sK0),sK2))))),s(fun(sK1,sK0),sK2))) = s(fun(sK1,sK1),i1)
    | ~ spl1152_2 ),
    inference(avatar_component_clause,[],[f6289]) ).

fof(f6301,plain,
    ( s(sK0,i(s(fun(sK1,sK0),sK2),s(sK1,sK3))) = s(sK0,i(s(fun(sK1,sK0),sK2),s(sK1,sK4)))
    | ~ spl1152_4 ),
    inference(avatar_component_clause,[],[f6299]) ).

fof(f6299,plain,
    ( spl1152_4
  <=> s(sK0,i(s(fun(sK1,sK0),sK2),s(sK1,sK3))) = s(sK0,i(s(fun(sK1,sK0),sK2),s(sK1,sK4))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1152_4])]) ).

fof(f6302,plain,
    ( spl1152_4
    | ~ spl1152_2 ),
    inference(avatar_split_clause,[],[f4619,f6289,f6299]) ).

fof(f4619,plain,
    ( s(fun(sK1,sK1),i(s(fun(fun(sK1,sK0),fun(sK1,sK1)),i(s(fun(fun(sK0,sK1),fun(fun(sK1,sK0),fun(sK1,sK1))),o),s(fun(sK0,sK1),i(s(fun(fun(sK1,sK0),fun(sK0,sK1)),inverse),s(fun(sK1,sK0),sK2))))),s(fun(sK1,sK0),sK2))) != s(fun(sK1,sK1),i1)
    | s(sK0,i(s(fun(sK1,sK0),sK2),s(sK1,sK3))) = s(sK0,i(s(fun(sK1,sK0),sK2),s(sK1,sK4))) ),
    inference(cnf_transformation,[],[f4146]) ).

fof(f4146,plain,
    ? [X0,X1,X2] :
      ( ! [X3,X4] :
          ( s(X1,X3) = s(X1,X4)
          | s(X0,i(s(fun(X1,X0),X2),s(X1,X3))) != s(X0,i(s(fun(X1,X0),X2),s(X1,X4))) )
    <~> s(fun(X1,X1),i(s(fun(fun(X1,X0),fun(X1,X1)),i(s(fun(fun(X0,X1),fun(fun(X1,X0),fun(X1,X1))),o),s(fun(X0,X1),i(s(fun(fun(X1,X0),fun(X0,X1)),inverse),s(fun(X1,X0),X2))))),s(fun(X1,X0),X2))) = s(fun(X1,X1),i1) ),
    inference(ennf_transformation,[],[f3645]) ).

fof(f3645,plain,
    ~ ! [X0,X1,X2] :
        ( ! [X3,X4] :
            ( s(X0,i(s(fun(X1,X0),X2),s(X1,X3))) = s(X0,i(s(fun(X1,X0),X2),s(X1,X4)))
           => s(X1,X3) = s(X1,X4) )
      <=> s(fun(X1,X1),i(s(fun(fun(X1,X0),fun(X1,X1)),i(s(fun(fun(X0,X1),fun(fun(X1,X0),fun(X1,X1))),o),s(fun(X0,X1),i(s(fun(fun(X1,X0),fun(X0,X1)),inverse),s(fun(X1,X0),X2))))),s(fun(X1,X0),X2))) = s(fun(X1,X1),i1) ),
    inference(rectify,[],[f3644]) ).

fof(f3644,negated_conjecture,
    ~ ! [X1544,X1545,X10] :
        ( ! [X0,X1] :
            ( s(X1544,i(s(fun(X1545,X1544),X10),s(X1545,X0))) = s(X1544,i(s(fun(X1545,X1544),X10),s(X1545,X1)))
           => s(X1545,X0) = s(X1545,X1) )
      <=> s(fun(X1545,X1545),i(s(fun(fun(X1545,X1544),fun(X1545,X1545)),i(s(fun(fun(X1544,X1545),fun(fun(X1545,X1544),fun(X1545,X1545))),o),s(fun(X1544,X1545),i(s(fun(fun(X1545,X1544),fun(X1544,X1545)),inverse),s(fun(X1545,X1544),X10))))),s(fun(X1545,X1544),X10))) = s(fun(X1545,X1545),i1) ),
    inference(negated_conjecture,[],[f3643]) ).

fof(f3643,conjecture,
    ! [X1544,X1545,X10] :
      ( ! [X0,X1] :
          ( s(X1544,i(s(fun(X1545,X1544),X10),s(X1545,X0))) = s(X1544,i(s(fun(X1545,X1544),X10),s(X1545,X1)))
         => s(X1545,X0) = s(X1545,X1) )
    <=> s(fun(X1545,X1545),i(s(fun(fun(X1545,X1544),fun(X1545,X1545)),i(s(fun(fun(X1544,X1545),fun(fun(X1545,X1544),fun(X1545,X1545))),o),s(fun(X1544,X1545),i(s(fun(fun(X1545,X1544),fun(X1544,X1545)),inverse),s(fun(X1545,X1544),X10))))),s(fun(X1545,X1544),X10))) = s(fun(X1545,X1545),i1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

fof(f6297,plain,
    ( ~ spl1152_3
    | ~ spl1152_2 ),
    inference(avatar_split_clause,[],[f4620,f6289,f6294]) ).

fof(f4620,plain,
    ( s(fun(sK1,sK1),i(s(fun(fun(sK1,sK0),fun(sK1,sK1)),i(s(fun(fun(sK0,sK1),fun(fun(sK1,sK0),fun(sK1,sK1))),o),s(fun(sK0,sK1),i(s(fun(fun(sK1,sK0),fun(sK0,sK1)),inverse),s(fun(sK1,sK0),sK2))))),s(fun(sK1,sK0),sK2))) != s(fun(sK1,sK1),i1)
    | s(sK1,sK3) != s(sK1,sK4) ),
    inference(cnf_transformation,[],[f4146]) ).

fof(f6292,plain,
    ( spl1152_1
    | spl1152_2 ),
    inference(avatar_split_clause,[],[f4621,f6289,f6286]) ).

fof(f4621,plain,
    ! [X3,X4] :
      ( s(fun(sK1,sK1),i(s(fun(fun(sK1,sK0),fun(sK1,sK1)),i(s(fun(fun(sK0,sK1),fun(fun(sK1,sK0),fun(sK1,sK1))),o),s(fun(sK0,sK1),i(s(fun(fun(sK1,sK0),fun(sK0,sK1)),inverse),s(fun(sK1,sK0),sK2))))),s(fun(sK1,sK0),sK2))) = s(fun(sK1,sK1),i1)
      | s(sK0,i(s(fun(sK1,sK0),sK2),s(sK1,X3))) != s(sK0,i(s(fun(sK1,sK0),sK2),s(sK1,X4)))
      | s(sK1,X3) = s(sK1,X4) ),
    inference(cnf_transformation,[],[f4146]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10  % Problem    : GEO481+1 : TPTP v8.2.0. Released v7.0.0.
% 0.00/0.10  % Command    : run_vampire %s %d THM
% 0.10/0.31  % Computer : n001.cluster.edu
% 0.10/0.31  % Model    : x86_64 x86_64
% 0.10/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31  % Memory   : 8042.1875MB
% 0.10/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31  % CPULimit   : 300
% 0.10/0.31  % WCLimit    : 300
% 0.10/0.31  % DateTime   : Fri Jun 21 06:13:09 EDT 2024
% 0.10/0.31  % CPUTime    : 
% 0.16/0.32  This is a FOF_THM_RFO_SEQ problem
% 0.17/0.32  Running first-order theorem proving
% 0.17/0.32  Running /export/starexec/sandbox2/solver/bin/vampire --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.22/1.46  % (6273)Running in auto input_syntax mode. Trying TPTP
% 1.22/1.46  % (6280)lrs+1002_1:1_to=lpo:sil=2000:sp=frequency:sos=on:st=3.0:i=282:sd=2:ss=axioms_0 on theBenchmark for (2999ds/282Mi)
% 1.22/1.46  % (6273)Running in auto input_syntax mode. Trying TPTP
% 1.22/1.46  % (6276)lrs+11_1:12_to=lpo:sil=128000:sp=const_min:i=103397:ss=included:sgt=16:av=off:fsd=on:nm=16_0 on theBenchmark for (2999ds/103397Mi)
% 1.25/1.47  % (6273)Running in auto input_syntax mode. Trying TPTP
% 1.25/1.47  % (6277)dis+2_1:50_sil=256000:flr=on:sac=on:i=218245:fsr=off:uhcvi=on_0 on theBenchmark for (2999ds/218245Mi)
% 1.25/1.47  % (6273)Running in auto input_syntax mode. Trying TPTP
% 1.25/1.47  % (6275)lrs+2_3:1_to=lpo:sil=256000:irw=on:fde=unused:sp=unary_first:bce=on:nwc=6.0:s2agt=30:newcnf=on:s2a=on:i=140573:nm=2_0 on theBenchmark for (2999ds/140573Mi)
% 1.25/1.47  % (6273)Running in auto input_syntax mode. Trying TPTP
% 1.25/1.47  % (6278)lrs-1010_1:1_sil=2000:i=250:sd=1:ss=axioms:sgt=32:sos=on_0 on theBenchmark for (2999ds/250Mi)
% 1.25/1.47  % (6273)Running in auto input_syntax mode. Trying TPTP
% 1.25/1.47  % (6274)lrs+10_1:628_anc=all_dependent:bsr=unit_only:sil=256000:sp=frequency:i=136310:newcnf=on_0 on theBenchmark for (2999ds/136310Mi)
% 1.25/1.47  % (6273)Running in auto input_syntax mode. Trying TPTP
% 1.25/1.47  % (6279)lrs-1011_8:1_sil=16000:sos=all:i=346:sd=1:ep=R:ss=axioms_0 on theBenchmark for (2999ds/346Mi)
% 1.25/1.58  % (6280)Instruction limit reached!
% 1.25/1.58  % (6280)------------------------------
% 1.25/1.58  % (6280)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.25/1.58  % (6280)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.25/1.58  % (6280)Termination reason: Time limit
% 1.25/1.58  % (6280)Termination phase: Preprocessing 3
% 1.25/1.58  
% 1.25/1.58  % (6280)Memory used [KB]: 12561
% 1.25/1.58  % (6280)Time elapsed: 0.116 s
% 1.25/1.58  % (6280)Instructions burned: 283 (million)
% 1.25/1.58  % (6278)Instruction limit reached!
% 1.25/1.58  % (6278)------------------------------
% 1.25/1.58  % (6278)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.25/1.58  % (6278)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.25/1.58  % (6278)Termination reason: Time limit
% 1.25/1.58  % (6278)Termination phase: Saturation
% 1.25/1.58  
% 1.25/1.58  % (6278)Memory used [KB]: 10840
% 1.25/1.58  % (6278)Time elapsed: 0.118 s
% 1.25/1.58  % (6278)Instructions burned: 252 (million)
% 1.58/1.63  % (6273)Running in auto input_syntax mode. Trying TPTP
% 1.58/1.63  % (6281)lrs+1010_1:1_sil=8000:sp=occurrence:urr=on:br=off:st=1.2:i=125:sd=7:ss=axioms:sgt=16_0 on theBenchmark for (2998ds/125Mi)
% 1.58/1.63  % (6279)Instruction limit reached!
% 1.58/1.63  % (6279)------------------------------
% 1.58/1.63  % (6279)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.58/1.63  % (6279)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.58/1.63  % (6279)Termination reason: Time limit
% 1.58/1.63  % (6279)Termination phase: Saturation
% 1.58/1.63  
% 1.58/1.63  % (6279)Memory used [KB]: 10383
% 1.58/1.63  % (6279)Time elapsed: 0.164 s
% 1.58/1.63  % (6279)Instructions burned: 346 (million)
% 1.58/1.65  % (6273)Running in auto input_syntax mode. Trying TPTP
% 1.58/1.65  % (6282)lrs+1010_1:1_to=lpo:sil=2000:sos=on:fd=off:i=402:bd=off_0 on theBenchmark for (2998ds/402Mi)
% 1.58/1.68  % (6281)Instruction limit reached!
% 1.58/1.68  % (6281)------------------------------
% 1.58/1.68  % (6281)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.58/1.68  % (6281)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.58/1.68  % (6281)Termination reason: Time limit
% 1.58/1.68  % (6281)Termination phase: SInE selection
% 1.58/1.68  
% 1.58/1.68  % (6281)Memory used [KB]: 8085
% 1.58/1.68  % (6281)Time elapsed: 0.054 s
% 1.58/1.68  % (6281)Instructions burned: 125 (million)
% 3.09/1.70  % (6273)Running in auto input_syntax mode. Trying TPTP
% 3.09/1.70  % (6283)lrs+2_5:1_sil=2000:sos=on:acc=on:urr=on:alpa=false:i=325:sd=1:bd=off:nm=32:ss=axioms:br=off:sup=off:bs=on_0 on theBenchmark for (2997ds/325Mi)
% 3.09/1.73  % (6273)Running in auto input_syntax mode. Trying TPTP
% 3.09/1.73  % (6284)lrs+1011_1:1_to=lpo:drc=encompass:sil=4000:plsq=on:plsqr=32,1:sp=occurrence:sos=on:erd=off:urr=on:lsd=100:i=267:sd=1:nm=2:ss=axioms:flr=on:sup=off_0 on theBenchmark for (2997ds/267Mi)
% 3.87/1.84  % (6282)Instruction limit reached!
% 3.87/1.84  % (6282)------------------------------
% 3.87/1.84  % (6282)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 3.87/1.84  % (6282)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 3.87/1.84  % (6282)Termination reason: Time limit
% 3.87/1.84  % (6282)Termination phase: Preprocessing 3
% 3.87/1.84  
% 3.87/1.84  % (6282)Memory used [KB]: 18484
% 3.87/1.84  % (6282)Time elapsed: 0.187 s
% 3.87/1.84  % (6282)Instructions burned: 403 (million)
% 3.87/1.84  % (6283)Instruction limit reached!
% 3.87/1.84  % (6283)------------------------------
% 3.87/1.84  % (6283)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 3.87/1.84  % (6283)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 3.87/1.84  % (6283)Termination reason: Time limit
% 3.87/1.84  % (6283)Termination phase: Saturation
% 3.87/1.84  
% 3.87/1.84  % (6283)Memory used [KB]: 10112
% 3.87/1.84  % (6283)Time elapsed: 0.147 s
% 3.87/1.84  % (6283)Instructions burned: 326 (million)
% 3.87/1.85  % (6284)Instruction limit reached!
% 3.87/1.85  % (6284)------------------------------
% 3.87/1.85  % (6284)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 3.87/1.85  % (6284)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 3.87/1.85  % (6284)Termination reason: Time limit
% 3.87/1.85  % (6284)Termination phase: Saturation
% 3.87/1.85  
% 3.87/1.85  % (6284)Memory used [KB]: 10791
% 3.87/1.85  % (6284)Time elapsed: 0.118 s
% 3.87/1.85  % (6284)Instructions burned: 267 (million)
% 3.87/1.90  % (6273)Running in auto input_syntax mode. Trying TPTP
% 3.87/1.90  % (6287)dis-1010_1:4_sil=2000:tgt=ground:fd=off:i=203:sd=1:nm=4:av=off:ss=axioms:sgt=64:newcnf=on_0 on theBenchmark for (2995ds/203Mi)
% 3.87/1.90  % (6273)Running in auto input_syntax mode. Trying TPTP
% 3.87/1.90  % (6285)lrs+33_1:1_sil=4000:sp=reverse_frequency:sos=all:i=156:sd=2:bd=off:nm=2:av=off:fsr=off:ss=axioms:sgt=10:rawr=on:sup=off:to=lpo:fs=off_0 on theBenchmark for (2995ds/156Mi)
% 3.87/1.90  % (6273)Running in auto input_syntax mode. Trying TPTP
% 3.87/1.90  % (6286)dis+1011_1:1_to=lpo:sil=4000:sp=const_max:sos=all:spb=goal:st=1.5:i=200:av=off:ss=axioms:sfv=off:bd=off:sd=2:fd=off_0 on theBenchmark for (2995ds/200Mi)
% 4.47/1.97  % (6285)Instruction limit reached!
% 4.47/1.97  % (6285)------------------------------
% 4.47/1.97  % (6285)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 4.47/1.97  % (6285)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 4.47/1.97  % (6285)Termination reason: Time limit
% 4.47/1.97  % (6285)Termination phase: Preprocessing 3
% 4.47/1.97  
% 4.47/1.97  % (6285)Memory used [KB]: 10724
% 4.47/1.97  % (6285)Time elapsed: 0.075 s
% 4.47/1.97  % (6285)Instructions burned: 158 (million)
% 4.47/1.98  % (6287)Instruction limit reached!
% 4.47/1.98  % (6287)------------------------------
% 4.47/1.98  % (6287)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 4.47/1.98  % (6287)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 4.47/1.98  % (6287)Termination reason: Time limit
% 4.47/1.98  % (6287)Termination phase: Twee Goal Transformation
% 4.47/1.98  
% 4.47/1.98  % (6287)Memory used [KB]: 9563
% 4.47/1.98  % (6287)Time elapsed: 0.081 s
% 4.47/1.98  % (6287)Instructions burned: 203 (million)
% 4.47/1.99  % (6286)Instruction limit reached!
% 4.47/1.99  % (6286)------------------------------
% 4.47/1.99  % (6286)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 4.47/1.99  % (6286)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 4.47/1.99  % (6286)Termination reason: Time limit
% 4.47/1.99  % (6286)Termination phase: Preprocessing 3
% 4.47/1.99  
% 4.47/1.99  % (6286)Memory used [KB]: 10490
% 4.47/1.99  % (6286)Time elapsed: 0.093 s
% 4.47/1.99  % (6286)Instructions burned: 200 (million)
% 5.20/2.03  % (6273)Running in auto input_syntax mode. Trying TPTP
% 5.20/2.03  % (6289)ott+10_107421:1048576_to=lpo:drc=off:sil=4000:fde=none:sos=on:lma=on:spb=intro:gs=on:nwc=24.2524:gsem=off:i=316:sd=3:afp=40000:awrs=decay:awrsf=1166:nm=6:afq=1.99252:uhcvi=on:ss=axioms:rawr=on:sp=const_max:add=off_0 on theBenchmark for (2994ds/316Mi)
% 5.20/2.03  % (6273)Running in auto input_syntax mode. Trying TPTP
% 5.20/2.03  % (6288)lrs+1002_1:8_sil=4000:sos=on:nicw=on:st=2.5:i=1027:ss=included:sd=7:ep=RS:erd=off_0 on theBenchmark for (2994ds/1027Mi)
% 5.20/2.05  % (6273)Running in auto input_syntax mode. Trying TPTP
% 5.20/2.05  % (6290)lrs+10_8:1_bsr=unit_only:sil=4000:urr=on:lcm=reverse:rp=on:i=426:sd=1:nm=6:av=off:ss=included:sup=off:sos=on_0 on theBenchmark for (2994ds/426Mi)
% 5.72/2.16  % (6289)Instruction limit reached!
% 5.72/2.16  % (6289)------------------------------
% 5.72/2.16  % (6289)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 5.72/2.16  % (6289)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 5.72/2.16  % (6289)Termination reason: Time limit
% 5.72/2.16  % (6289)Termination phase: Preprocessing 3
% 5.72/2.16  
% 5.72/2.16  % (6289)Memory used [KB]: 14206
% 5.72/2.16  % (6289)Time elapsed: 0.134 s
% 5.72/2.16  % (6289)Instructions burned: 316 (million)
% 5.72/2.18  % (6290)Refutation not found, incomplete strategy% (6290)------------------------------
% 5.72/2.18  % (6290)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 5.72/2.18  % (6290)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 5.72/2.18  % (6290)Termination reason: Refutation not found, incomplete strategy
% 5.72/2.18  
% 5.72/2.18  % (6290)Memory used [KB]: 11407
% 5.72/2.18  % (6290)Time elapsed: 0.127 s
% 5.72/2.18  % (6290)Instructions burned: 260 (million)
% 5.72/2.18  % (6290)------------------------------
% 5.72/2.18  % (6290)------------------------------
% 5.72/2.21  % (6273)Running in auto input_syntax mode. Trying TPTP
% 5.72/2.21  % (6291)dis+1011_1:1_sil=16000:nwc=7.0:s2agt=64:s2a=on:i=260:ss=axioms:sgt=8:lsd=50:sd=7_0 on theBenchmark for (2992ds/260Mi)
% 6.45/2.25  % (6273)Running in auto input_syntax mode. Trying TPTP
% 6.45/2.25  % (6292)lrs+2_1:1_drc=encompass:sil=2000:urr=on:nwc=10.0:i=160:sd=3:fsr=off:ss=axioms:fd=preordered:bd=off:sup=off_0 on theBenchmark for (2992ds/160Mi)
% 7.42/2.33  % (6292)Instruction limit reached!
% 7.42/2.33  % (6292)------------------------------
% 7.42/2.33  % (6292)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 7.42/2.33  % (6292)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 7.42/2.33  % (6292)Termination reason: Time limit
% 7.42/2.33  % (6292)Termination phase: Naming
% 7.42/2.33  % (6291)Instruction limit reached!
% 7.42/2.33  % (6291)------------------------------
% 7.42/2.33  % (6291)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 7.42/2.33  
% 7.42/2.33  % (6292)Memory used [KB]: 10696
% 7.42/2.33  % (6292)Time elapsed: 0.083 s
% 7.42/2.33  % (6292)Instructions burned: 161 (million)
% 7.42/2.33  % (6291)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 7.42/2.33  % (6291)Termination reason: Time limit
% 7.42/2.33  % (6291)Termination phase: Preprocessing 1
% 7.42/2.33  
% 7.42/2.33  % (6291)Memory used [KB]: 8249
% 7.42/2.33  % (6291)Time elapsed: 0.119 s
% 7.42/2.33  % (6291)Instructions burned: 261 (million)
% 7.42/2.39  % (6273)Running in auto input_syntax mode. Trying TPTP
% 7.42/2.39  % (6293)dis+11_5603931:1048576_bsr=on:sfv=off:slsqr=176855,1048576:sil=2000:plsq=on:plsqr=4348351,262144:sp=occurrence:spb=units:lcm=predicate:fd=off:nwc=1.37809:s2agt=10:slsq=on:s2a=on:i=462:bs=unit_only:sd=3:kws=arity_squared:slsql=off:bd=off:nm=26:av=off:ss=axioms:sgt=15:fsr=off_0 on theBenchmark for (2990ds/462Mi)
% 7.42/2.39  % (6273)Running in auto input_syntax mode. Trying TPTP
% 7.42/2.39  % (6294)dis+1010_3:2_sil=4000:plsq=on:s2agt=100:sac=on:s2a=on:i=2185:s2at=2.0:ep=RS:tgt=full_0 on theBenchmark for (2990ds/2185Mi)
% 7.96/2.49  % (6288)Instruction limit reached!
% 7.96/2.49  % (6288)------------------------------
% 7.96/2.49  % (6288)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 7.96/2.49  % (6288)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 7.96/2.49  % (6288)Termination reason: Time limit
% 7.96/2.49  % (6288)Termination phase: Property scanning
% 7.96/2.49  
% 7.96/2.49  % (6288)Memory used [KB]: 28630
% 7.96/2.49  % (6288)Time elapsed: 0.462 s
% 7.96/2.49  % (6288)Instructions burned: 1029 (million)
% 8.47/2.56  % (6273)Running in auto input_syntax mode. Trying TPTP
% 8.47/2.56  % (6295)dis+1002_1:2_to=lpo:sil=2000:sos=on:abs=on:newcnf=on:i=308:sd=1:bd=off:ss=included:rawr=on:sp=const_frequency:fsr=off:fs=off_0 on theBenchmark for (2988ds/308Mi)
% 8.47/2.59  % (6293)Instruction limit reached!
% 8.47/2.59  % (6293)------------------------------
% 8.47/2.59  % (6293)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 8.47/2.59  % (6293)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 8.47/2.59  % (6293)Termination reason: Time limit
% 8.47/2.59  % (6293)Termination phase: Preprocessing 3
% 8.47/2.59  
% 8.47/2.59  % (6293)Memory used [KB]: 14735
% 8.47/2.59  % (6293)Time elapsed: 0.205 s
% 8.47/2.59  % (6293)Instructions burned: 462 (million)
% 9.10/2.65  % (6273)Running in auto input_syntax mode. Trying TPTP
% 9.10/2.65  % (6296)dis+1010_1:1_to=lpo:sil=2000:plsq=on:plsqr=32,1:sos=on:spb=goal:rp=on:i=336:bd=off:ins=4:ss=axioms:sgt=32:acc=on:fde=none_0 on theBenchmark for (2987ds/336Mi)
% 9.53/2.70  % (6295)Instruction limit reached!
% 9.53/2.70  % (6295)------------------------------
% 9.53/2.70  % (6295)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 9.53/2.70  % (6295)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 9.53/2.70  % (6295)Termination reason: Time limit
% 9.53/2.70  % (6295)Termination phase: Saturation
% 9.53/2.70  
% 9.53/2.70  % (6295)Memory used [KB]: 10793
% 9.53/2.70  % (6295)Time elapsed: 0.143 s
% 9.53/2.70  % (6295)Instructions burned: 308 (million)
% 9.53/2.77  % (6273)Running in auto input_syntax mode. Trying TPTP
% 9.53/2.77  % (6297)dis+1010_16550053:1048576_to=lpo:ccuc=small_ones:sil=4000:fde=none:plsq=on:avsql=on:plsqr=34063,1048576:sp=const_min:sos=on:acc=model:plsql=on:nwc=10.3787:avsq=on:i=349:sd=1:avsqr=1084175,1048576:nm=0:amm=off:ss=axioms:bce=on:rawr=on:sup=off:bd=off_0 on theBenchmark for (2986ds/349Mi)
% 9.53/2.79  % (6296)Instruction limit reached!
% 9.53/2.79  % (6296)------------------------------
% 9.53/2.79  % (6296)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 9.53/2.79  % (6296)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 9.53/2.79  % (6296)Termination reason: Time limit
% 9.53/2.79  % (6296)Termination phase: Naming
% 9.53/2.79  
% 9.53/2.79  % (6296)Memory used [KB]: 14589
% 9.53/2.79  % (6296)Time elapsed: 0.143 s
% 9.53/2.79  % (6296)Instructions burned: 338 (million)
% 10.33/2.83  % (6273)Running in auto input_syntax mode. Trying TPTP
% 10.33/2.83  % (6298)lrs+2_1:1_sil=2000:sos=all:st=5.0:i=193:bd=off:av=off:ss=axioms:sd=2:sup=off_0 on theBenchmark for (2985ds/193Mi)
% 10.33/2.84  % (6297)Refutation not found, incomplete strategy% (6297)------------------------------
% 10.33/2.84  % (6297)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 10.33/2.84  % (6297)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 10.33/2.84  % (6297)Termination reason: Refutation not found, incomplete strategy
% 10.33/2.84  
% 10.33/2.84  % (6297)Memory used [KB]: 8487
% 10.33/2.84  % (6297)Time elapsed: 0.076 s
% 10.33/2.84  % (6297)Instructions burned: 157 (million)
% 10.33/2.84  % (6297)------------------------------
% 10.33/2.84  % (6297)------------------------------
% 10.33/2.91  % (6273)Running in auto input_syntax mode. Trying TPTP
% 10.33/2.91  % (6299)lrs+1002_1:1_sil=64000:sos=on:urr=ec_only:flr=on:st=3.0:i=632:sd=1:ep=RS:nm=16:ss=axioms_0 on theBenchmark for (2985ds/632Mi)
% 11.63/2.92  % (6298)Instruction limit reached!
% 11.63/2.92  % (6298)------------------------------
% 11.63/2.92  % (6298)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 11.63/2.92  % (6298)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 11.63/2.92  % (6298)Termination reason: Time limit
% 11.63/2.92  % (6298)Termination phase: Preprocessing 1
% 11.63/2.92  
% 11.63/2.92  % (6298)Memory used [KB]: 10176
% 11.63/2.92  % (6298)Time elapsed: 0.083 s
% 11.63/2.92  % (6298)Instructions burned: 193 (million)
% 11.63/2.97  % (6273)Running in auto input_syntax mode. Trying TPTP
% 11.63/2.97  % (6300)lrs+1011_4801913:1048576_sfv=off:sil=2000:plsqc=1:plsq=on:plsqr=98277,1048576:etr=on:sp=const_max:lma=on:erape=on:urr=full:rp=on:nwc=23.4614:lwlo=on:st=2.5:i=440:add=large:bs=unit_only:sd=2:kws=inv_arity_squared:awrs=converge:awrsf=951:nm=17:amm=sco:ss=axioms:er=filter:sgt=50:rawr=on:anc=none_0 on theBenchmark for (2984ds/440Mi)
% 12.79/3.14  % (6300)Instruction limit reached!
% 12.79/3.14  % (6300)------------------------------
% 12.79/3.14  % (6300)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 12.79/3.14  % (6300)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 12.79/3.14  % (6300)Termination reason: Time limit
% 12.79/3.14  % (6300)Termination phase: Preprocessing 3
% 12.79/3.14  
% 12.79/3.14  % (6300)Memory used [KB]: 15909
% 12.79/3.14  % (6300)Time elapsed: 0.177 s
% 12.79/3.14  % (6300)Instructions burned: 440 (million)
% 12.79/3.18  % (6299)Instruction limit reached!
% 12.79/3.18  % (6299)------------------------------
% 12.79/3.18  % (6299)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 12.79/3.18  % (6299)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 12.79/3.18  % (6299)Termination reason: Time limit
% 12.79/3.18  % (6299)Termination phase: Saturation
% 12.79/3.18  
% 12.79/3.18  % (6299)Memory used [KB]: 11767
% 12.79/3.18  % (6299)Time elapsed: 0.273 s
% 12.79/3.18  % (6299)Instructions burned: 632 (million)
% 13.55/3.20  % (6273)Running in auto input_syntax mode. Trying TPTP
% 13.55/3.20  % (6301)lrs-1011_4:1_bsr=unit_only:sil=4000:sp=occurrence:lsd=20:newcnf=on:i=730:kws=inv_arity_squared:awrs=converge:rawr=on:rp=on:alpa=false:nwc=3.0_0 on theBenchmark for (2982ds/730Mi)
% 13.55/3.23  % (6294)Instruction limit reached!
% 13.55/3.23  % (6294)------------------------------
% 13.55/3.23  % (6294)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 13.55/3.23  % (6294)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 13.55/3.23  % (6294)Termination reason: Time limit
% 13.55/3.23  % (6294)Termination phase: Twee Goal Transformation
% 13.55/3.23  
% 13.55/3.23  % (6294)Memory used [KB]: 29537
% 13.55/3.23  % (6294)Time elapsed: 0.850 s
% 13.55/3.23  % (6294)Instructions burned: 2186 (million)
% 13.55/3.25  % (6273)Running in auto input_syntax mode. Trying TPTP
% 13.55/3.25  % (6302)lrs+1002_8:1_sil=16000:plsq=on:sos=on:urr=on:plsql=on:st=1.2:i=228:sd=2:ss=axioms_0 on theBenchmark for (2982ds/228Mi)
% 14.06/3.30  % (6273)Running in auto input_syntax mode. Trying TPTP
% 14.06/3.30  % (6303)lrs+10_8:1_to=lpo:drc=encompass:sil=4000:sos=on:urr=on:newcnf=on:i=1008:sd=2:nm=2:ss=axioms:sgt=32:sup=off:bd=off_0 on theBenchmark for (2981ds/1008Mi)
% 14.11/3.35  % (6302)Instruction limit reached!
% 14.11/3.35  % (6302)------------------------------
% 14.11/3.35  % (6302)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 14.11/3.35  % (6302)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 14.11/3.35  % (6302)Termination reason: Time limit
% 14.11/3.35  % (6302)Termination phase: Preprocessing 3
% 14.11/3.35  
% 14.11/3.35  % (6302)Memory used [KB]: 11109
% 14.11/3.35  % (6302)Time elapsed: 0.107 s
% 14.11/3.35  % (6302)Instructions burned: 230 (million)
% 14.62/3.42  % (6273)Running in auto input_syntax mode. Trying TPTP
% 14.62/3.42  % (6304)dis-1002_1:64_sil=2000:sos=on:nwc=10.0:i=231:nm=2:ss=axioms:ep=RST:sd=1_0 on theBenchmark for (2980ds/231Mi)
% 14.97/3.49  % (6301)Instruction limit reached!
% 14.97/3.49  % (6301)------------------------------
% 14.97/3.49  % (6301)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 14.97/3.49  % (6301)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 14.97/3.49  % (6301)Termination reason: Time limit
% 14.97/3.49  % (6301)Termination phase: Property scanning
% 14.97/3.49  
% 14.97/3.49  % (6301)Memory used [KB]: 24128
% 14.97/3.49  % (6301)Time elapsed: 0.292 s
% 14.97/3.49  % (6301)Instructions burned: 732 (million)
% 14.97/3.53  % (6304)Instruction limit reached!
% 14.97/3.53  % (6304)------------------------------
% 14.97/3.53  % (6304)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 14.97/3.53  % (6304)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 14.97/3.53  % (6304)Termination reason: Time limit
% 14.97/3.53  % (6304)Termination phase: Saturation
% 14.97/3.53  
% 14.97/3.53  % (6304)Memory used [KB]: 10109
% 14.97/3.53  % (6304)Time elapsed: 0.115 s
% 14.97/3.53  % (6304)Instructions burned: 232 (million)
% 14.97/3.56  % (6273)Running in auto input_syntax mode. Trying TPTP
% 14.97/3.56  % (6305)lrs-1010_1:1_to=lpo:sil=2000:sp=reverse_arity:sos=on:urr=ec_only:i=501:sd=2:bd=off:ss=axioms:sgt=16_0 on theBenchmark for (2979ds/501Mi)
% 14.97/3.60  % (6273)Running in auto input_syntax mode. Trying TPTP
% 14.97/3.60  WARNING Broken Constraint: if inline_let(on) has been set then newcnf(off) is equal to on
% 16.45/3.60  % (6306)dis-1011_100103:1048576_bsr=on:drc=encompass:sil=2000:tgt=full:bsd=on:ile=on:sp=const_min:rnwc=on:nwc=23.5528:s2agt=30:avsqc=2:avsq=on:s2a=on:i=411:s2at=6:avsqr=111405,262144:bsdmm=3:nm=40:uhcvi=on:afr=on:ss=axioms:sgt=5:rawr=on:add=large_0 on theBenchmark for (2978ds/411Mi)
% 16.65/3.66  % (6303)First to succeed.
% 16.65/3.66  % (6303)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-6273"
% 16.65/3.66  % (6273)Running in auto input_syntax mode. Trying TPTP
% 16.65/3.66  % (6303)Refutation found. Thanks to Tanya!
% 16.65/3.66  % SZS status Theorem for theBenchmark
% 16.65/3.66  % SZS output start Proof for theBenchmark
% See solution above
% 16.65/3.66  % (6303)------------------------------
% 16.65/3.66  % (6303)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 16.65/3.66  % (6303)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 16.65/3.66  % (6303)Termination reason: Refutation
% 16.65/3.66  
% 16.65/3.66  % (6303)Memory used [KB]: 14447
% 16.65/3.66  % (6303)Time elapsed: 0.360 s
% 16.65/3.66  % (6303)Instructions burned: 836 (million)
% 16.65/3.66  % (6303)------------------------------
% 16.65/3.66  % (6303)------------------------------
% 16.65/3.66  % (6273)Success in time 2.266 s
%------------------------------------------------------------------------------