↑ Up

Vampire---5.0.1.UNS-Ref.s

View TPTP
Problem
Process solution in
SystemOnTSTP
Download .tgz
%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : KRS071+1 : TPTP v9.3.1. Released v3.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM

% Computer : n011.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Tue Sep 29 11:41:35 AM UTC 2026

% Result   : Unsatisfiable 2.82s 1.26s
% Output   : Refutation 3.41s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   19
%            Number of leaves      :   11
% Syntax   : Number of formulae    :   88 (  11 unt;   7 def)
%            Number of atoms       :  386 (  78 equ)
%            Maximal formula atoms :   26 (   4 avg)
%            Number of connectives :  485 ( 187   ~; 194   |;  88   &)
%                                         (  12 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   13 (   5 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :   16 (  14 usr;   7 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   1 con; 0-1 aty)
%            Number of variables   :  122 (   0 sgn  89   !;  33   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f17,axiom,
    ! [X0] :
      ( cUnsatisfiable(X0)
    <=> ( ? [X1] :
            ( rr(X0,X1)
            & cp1(X1) )
        & ? [X1] :
            ( rr(X0,X1)
            & cp2(X1) )
        & ? [X1] :
            ( rr(X0,X1)
            & cp3(X1) )
        & ! [X2,X3,X4] :
            ( ( rr(X0,X2)
              & rr(X0,X3)
              & rr(X0,X4) )
           => ( X2 = X3
              | X2 = X4
              | X3 = X4 ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_2) ).

fof(f18,axiom,
    ! [X0] :
      ( cp1(X0)
     => ~ ( cp4(X0)
          | cp2(X0)
          | cp3(X0)
          | cp5(X0) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_3) ).

fof(f19,axiom,
    ! [X0] :
      ( cp2(X0)
     => ~ ( cp4(X0)
          | cp3(X0)
          | cp5(X0) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_4) ).

fof(f23,axiom,
    cUnsatisfiable(i2003_11_14_17_18_39380),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_8) ).

fof(f24,plain,
    ! [X0] :
      ( cUnsatisfiable(X0)
    <=> ( ? [X1] :
            ( rr(X0,X1)
            & cp1(X1) )
        & ? [X2] :
            ( rr(X0,X2)
            & cp2(X2) )
        & ? [X3] :
            ( rr(X0,X3)
            & cp3(X3) )
        & ! [X4,X5,X6] :
            ( ( rr(X0,X4)
              & rr(X0,X5)
              & rr(X0,X6) )
           => ( X4 = X5
              | X4 = X6
              | X5 = X6 ) ) ) ),
    inference(rectify,[],[f17]) ).

fof(f53,plain,
    ! [X0] :
      ( cUnsatisfiable(X0)
    <=> ( ? [X1] :
            ( rr(X0,X1)
            & cp1(X1) )
        & ? [X2] :
            ( rr(X0,X2)
            & cp2(X2) )
        & ? [X3] :
            ( rr(X0,X3)
            & cp3(X3) )
        & ! [X4,X5,X6] :
            ( X4 = X5
            | X4 = X6
            | X5 = X6
            | ~ rr(X0,X4)
            | ~ rr(X0,X5)
            | ~ rr(X0,X6) ) ) ),
    inference(ennf_transformation,[],[f24]) ).

fof(f54,plain,
    ! [X0] :
      ( cUnsatisfiable(X0)
    <=> ( ? [X1] :
            ( rr(X0,X1)
            & cp1(X1) )
        & ? [X2] :
            ( rr(X0,X2)
            & cp2(X2) )
        & ? [X3] :
            ( rr(X0,X3)
            & cp3(X3) )
        & ! [X4,X5,X6] :
            ( X4 = X5
            | X4 = X6
            | X5 = X6
            | ~ rr(X0,X4)
            | ~ rr(X0,X5)
            | ~ rr(X0,X6) ) ) ),
    inference(flattening,[],[f53]) ).

fof(f55,plain,
    ! [X0] :
      ( ( ~ cp4(X0)
        & ~ cp2(X0)
        & ~ cp3(X0)
        & ~ cp5(X0) )
      | ~ cp1(X0) ),
    inference(ennf_transformation,[],[f18]) ).

fof(f56,plain,
    ! [X0] :
      ( ( ~ cp4(X0)
        & ~ cp3(X0)
        & ~ cp5(X0) )
      | ~ cp2(X0) ),
    inference(ennf_transformation,[],[f19]) ).

fof(f59,definition,
    ! [X0] :
      ( sP0(X0)
    <=> ( ? [X1] :
            ( rr(X0,X1)
            & cp1(X1) )
        & ? [X2] :
            ( rr(X0,X2)
            & cp2(X2) )
        & ? [X3] :
            ( rr(X0,X3)
            & cp3(X3) )
        & ! [X4,X5,X6] :
            ( X4 = X5
            | X4 = X6
            | X5 = X6
            | ~ rr(X0,X4)
            | ~ rr(X0,X5)
            | ~ rr(X0,X6) ) ) ),
    introduced(definition,[new_symbols(definition,[sP0])],[predicate_definition_introduction]) ).

fof(f60,plain,
    ! [X0] :
      ( cUnsatisfiable(X0)
    <=> sP0(X0) ),
    inference(definition_folding,[],[f54,f59]) ).

fof(f62,plain,
    ! [X0] :
      ( ( sP0(X0)
        | ! [X1] :
            ( ~ rr(X0,X1)
            | ~ cp1(X1) )
        | ! [X2] :
            ( ~ rr(X0,X2)
            | ~ cp2(X2) )
        | ! [X3] :
            ( ~ rr(X0,X3)
            | ~ cp3(X3) )
        | ? [X4,X5,X6] :
            ( X4 != X5
            & X4 != X6
            & X5 != X6
            & rr(X0,X4)
            & rr(X0,X5)
            & rr(X0,X6) ) )
      & ( ( ? [X1] :
              ( rr(X0,X1)
              & cp1(X1) )
          & ? [X2] :
              ( rr(X0,X2)
              & cp2(X2) )
          & ? [X3] :
              ( rr(X0,X3)
              & cp3(X3) )
          & ! [X4,X5,X6] :
              ( X4 = X5
              | X4 = X6
              | X5 = X6
              | ~ rr(X0,X4)
              | ~ rr(X0,X5)
              | ~ rr(X0,X6) ) )
        | ~ sP0(X0) ) ),
    inference(nnf_transformation,[],[f59]) ).

fof(f63,plain,
    ! [X0] :
      ( ( sP0(X0)
        | ! [X1] :
            ( ~ rr(X0,X1)
            | ~ cp1(X1) )
        | ! [X2] :
            ( ~ rr(X0,X2)
            | ~ cp2(X2) )
        | ! [X3] :
            ( ~ rr(X0,X3)
            | ~ cp3(X3) )
        | ? [X4,X5,X6] :
            ( X4 != X5
            & X4 != X6
            & X5 != X6
            & rr(X0,X4)
            & rr(X0,X5)
            & rr(X0,X6) ) )
      & ( ( ? [X1] :
              ( rr(X0,X1)
              & cp1(X1) )
          & ? [X2] :
              ( rr(X0,X2)
              & cp2(X2) )
          & ? [X3] :
              ( rr(X0,X3)
              & cp3(X3) )
          & ! [X4,X5,X6] :
              ( X4 = X5
              | X4 = X6
              | X5 = X6
              | ~ rr(X0,X4)
              | ~ rr(X0,X5)
              | ~ rr(X0,X6) ) )
        | ~ sP0(X0) ) ),
    inference(flattening,[],[f62]) ).

fof(f64,plain,
    ! [X0] :
      ( ( sP0(X0)
        | ! [X1] :
            ( ~ rr(X0,X1)
            | ~ cp1(X1) )
        | ! [X2] :
            ( ~ rr(X0,X2)
            | ~ cp2(X2) )
        | ! [X3] :
            ( ~ rr(X0,X3)
            | ~ cp3(X3) )
        | ? [X4,X5,X6] :
            ( X4 != X5
            & X4 != X6
            & X5 != X6
            & rr(X0,X4)
            & rr(X0,X5)
            & rr(X0,X6) ) )
      & ( ( ? [X7] :
              ( rr(X0,X7)
              & cp1(X7) )
          & ? [X8] :
              ( rr(X0,X8)
              & cp2(X8) )
          & ? [X9] :
              ( rr(X0,X9)
              & cp3(X9) )
          & ! [X10,X11,X12] :
              ( X10 = X11
              | X10 = X12
              | X11 = X12
              | ~ rr(X0,X10)
              | ~ rr(X0,X11)
              | ~ rr(X0,X12) ) )
        | ~ sP0(X0) ) ),
    inference(rectify,[],[f63]) ).

fof(f65,plain,
    ! [X0] :
      ( ( sP0(X0)
        | ! [X1] :
            ( ~ rr(X0,X1)
            | ~ cp1(X1) )
        | ! [X2] :
            ( ~ rr(X0,X2)
            | ~ cp2(X2) )
        | ! [X3] :
            ( ~ rr(X0,X3)
            | ~ cp3(X3) )
        | ( sK1(X0) != sK2(X0)
          & sK1(X0) != sK3(X0)
          & sK2(X0) != sK3(X0)
          & rr(X0,sK1(X0))
          & rr(X0,sK2(X0))
          & rr(X0,sK3(X0)) ) )
      & ( ( rr(X0,sK4(X0))
          & cp1(sK4(X0))
          & rr(X0,sK5(X0))
          & cp2(sK5(X0))
          & rr(X0,sK6(X0))
          & cp3(sK6(X0))
          & ! [X10,X11,X12] :
              ( X10 = X11
              | X10 = X12
              | X11 = X12
              | ~ rr(X0,X10)
              | ~ rr(X0,X11)
              | ~ rr(X0,X12) ) )
        | ~ sP0(X0) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK1,sK2,sK3,sK4,sK5,sK6]),skolemize(X4,sK1(X0)),skolemize(X5,sK2(X0)),skolemize(X6,sK3(X0)),skolemize(X7,sK4(X0)),skolemize(X8,sK5(X0)),skolemize(X9,sK6(X0))],[f64]) ).

fof(f66,plain,
    ! [X0] :
      ( ( cUnsatisfiable(X0)
        | ~ sP0(X0) )
      & ( sP0(X0)
        | ~ cUnsatisfiable(X0) ) ),
    inference(nnf_transformation,[],[f60]) ).

fof(f86,plain,
    ! [X10,X0,X11,X12] :
      ( ~ sP0(X0)
      | X10 = X12
      | X11 = X12
      | ~ rr(X0,X10)
      | ~ rr(X0,X11)
      | ~ rr(X0,X12)
      | X10 = X11 ),
    inference(cnf_transformation,[],[f65]) ).

fof(f87,plain,
    ! [X0] :
      ( ~ sP0(X0)
      | cp3(sK6(X0)) ),
    inference(cnf_transformation,[],[f65]) ).

fof(f88,plain,
    ! [X0] :
      ( rr(X0,sK6(X0))
      | ~ sP0(X0) ),
    inference(cnf_transformation,[],[f65]) ).

fof(f89,plain,
    ! [X0] :
      ( cp2(sK5(X0))
      | ~ sP0(X0) ),
    inference(cnf_transformation,[],[f65]) ).

fof(f90,plain,
    ! [X0] :
      ( rr(X0,sK5(X0))
      | ~ sP0(X0) ),
    inference(cnf_transformation,[],[f65]) ).

fof(f91,plain,
    ! [X0] :
      ( cp1(sK4(X0))
      | ~ sP0(X0) ),
    inference(cnf_transformation,[],[f65]) ).

fof(f92,plain,
    ! [X0] :
      ( rr(X0,sK4(X0))
      | ~ sP0(X0) ),
    inference(cnf_transformation,[],[f65]) ).

fof(f99,plain,
    ! [X0] :
      ( sP0(X0)
      | ~ cUnsatisfiable(X0) ),
    inference(cnf_transformation,[],[f66]) ).

fof(f102,plain,
    ! [X0] :
      ( ~ cp3(X0)
      | ~ cp1(X0) ),
    inference(cnf_transformation,[],[f55]) ).

fof(f103,plain,
    ! [X0] :
      ( ~ cp2(X0)
      | ~ cp1(X0) ),
    inference(cnf_transformation,[],[f55]) ).

fof(f106,plain,
    ! [X0] :
      ( ~ cp3(X0)
      | ~ cp2(X0) ),
    inference(cnf_transformation,[],[f56]) ).

fof(f113,plain,
    cUnsatisfiable(i2003_11_14_17_18_39380),
    inference(cnf_transformation,[],[f23]) ).

fof(f128,plain,
    ! [X0] :
      ( cp3(sK6(X0))
      | ~ cUnsatisfiable(X0) ),
    inference(resolution,[],[f87,f99]) ).

fof(f129,plain,
    ! [X0] :
      ( ~ cp1(sK5(X0))
      | ~ sP0(X0) ),
    inference(resolution,[],[f89,f103]) ).

fof(f130,plain,
    ! [X0] :
      ( ~ cp2(sK6(X0))
      | ~ cUnsatisfiable(X0) ),
    inference(resolution,[],[f128,f106]) ).

fof(f131,plain,
    ! [X0] :
      ( ~ cp1(sK6(X0))
      | ~ cUnsatisfiable(X0) ),
    inference(resolution,[],[f128,f102]) ).

fof(f132,plain,
    ! [X2,X3,X0,X1] :
      ( ~ cUnsatisfiable(X3)
      | X1 = X2
      | ~ rr(X3,X0)
      | ~ rr(X3,X2)
      | ~ rr(X3,X1)
      | X0 = X2
      | X0 = X1 ),
    inference(resolution,[],[f86,f99]) ).

fof(f133,plain,
    ! [X2,X0,X1] :
      ( ~ rr(i2003_11_14_17_18_39380,X2)
      | X0 = X1
      | ~ rr(i2003_11_14_17_18_39380,X1)
      | ~ rr(i2003_11_14_17_18_39380,X0)
      | X1 = X2
      | X0 = X2 ),
    inference(resolution,[],[f132,f113]) ).

fof(f138,plain,
    ! [X0,X1] :
      ( X0 = X1
      | ~ rr(i2003_11_14_17_18_39380,X1)
      | ~ rr(i2003_11_14_17_18_39380,X0)
      | sK5(i2003_11_14_17_18_39380) = X1
      | sK5(i2003_11_14_17_18_39380) = X0
      | ~ sP0(i2003_11_14_17_18_39380) ),
    inference(resolution,[],[f133,f90]) ).

fof(f145,definition,
    ( spl7_1
  <=> sP0(i2003_11_14_17_18_39380) ),
    introduced(definition,[new_symbols(definition,[spl7_1])],[avatar_definition]) ).

fof(f146,plain,
    ( sP0(i2003_11_14_17_18_39380)
    | ~ spl7_1 ),
    inference(avatar_component_clause,[],[f145]) ).

fof(f147,plain,
    ( ~ sP0(i2003_11_14_17_18_39380)
    | spl7_1 ),
    inference(avatar_component_clause,[],[f145]) ).

fof(f153,definition,
    ( spl7_3
  <=> ! [X0,X1] :
        ( X0 = X1
        | sK5(i2003_11_14_17_18_39380) = X0
        | sK5(i2003_11_14_17_18_39380) = X1
        | ~ rr(i2003_11_14_17_18_39380,X0)
        | ~ rr(i2003_11_14_17_18_39380,X1) ) ),
    introduced(definition,[new_symbols(definition,[spl7_3])],[avatar_definition]) ).

fof(f154,plain,
    ( ! [X0,X1] :
        ( ~ rr(i2003_11_14_17_18_39380,X1)
        | sK5(i2003_11_14_17_18_39380) = X0
        | sK5(i2003_11_14_17_18_39380) = X1
        | ~ rr(i2003_11_14_17_18_39380,X0)
        | X0 = X1 )
    | ~ spl7_3 ),
    inference(avatar_component_clause,[],[f153]) ).

fof(f155,plain,
    ( ~ spl7_1
    | spl7_3 ),
    inference(avatar_split_clause,[],[f138,f153,f145]) ).

fof(f178,plain,
    ( ~ cUnsatisfiable(i2003_11_14_17_18_39380)
    | spl7_1 ),
    inference(resolution,[],[f147,f99]) ).

fof(f179,plain,
    ( $false
    | spl7_1 ),
    inference(forward_subsumption_resolution,[],[f178,f113]) ).

fof(f180,plain,
    spl7_1,
    inference(avatar_contradiction_clause,[],[f179]) ).

fof(f209,definition,
    ( spl7_11
  <=> sK5(i2003_11_14_17_18_39380) = sK6(i2003_11_14_17_18_39380) ),
    introduced(definition,[new_symbols(definition,[spl7_11])],[avatar_definition]) ).

fof(f211,plain,
    ( sK5(i2003_11_14_17_18_39380) = sK6(i2003_11_14_17_18_39380)
    | ~ spl7_11 ),
    inference(avatar_component_clause,[],[f209]) ).

fof(f213,definition,
    ( spl7_12
  <=> ! [X0] :
        ( sK6(i2003_11_14_17_18_39380) = X0
        | sK5(i2003_11_14_17_18_39380) = X0
        | ~ rr(i2003_11_14_17_18_39380,X0) ) ),
    introduced(definition,[new_symbols(definition,[spl7_12])],[avatar_definition]) ).

fof(f214,plain,
    ( ! [X0] :
        ( ~ rr(i2003_11_14_17_18_39380,X0)
        | sK5(i2003_11_14_17_18_39380) = X0
        | sK6(i2003_11_14_17_18_39380) = X0 )
    | ~ spl7_12 ),
    inference(avatar_component_clause,[],[f213]) ).

fof(f217,definition,
    ( spl7_13
  <=> sK4(i2003_11_14_17_18_39380) = sK6(i2003_11_14_17_18_39380) ),
    introduced(definition,[new_symbols(definition,[spl7_13])],[avatar_definition]) ).

fof(f219,plain,
    ( sK4(i2003_11_14_17_18_39380) = sK6(i2003_11_14_17_18_39380)
    | ~ spl7_13 ),
    inference(avatar_component_clause,[],[f217]) ).

fof(f228,plain,
    ( ~ cp2(sK5(i2003_11_14_17_18_39380))
    | ~ cUnsatisfiable(i2003_11_14_17_18_39380)
    | ~ spl7_11 ),
    inference(superposition,[],[f130,f211]) ).

fof(f232,plain,
    ( ~ cp2(sK5(i2003_11_14_17_18_39380))
    | ~ spl7_11 ),
    inference(forward_subsumption_resolution,[],[f228,f113]) ).

fof(f240,plain,
    ( ! [X0] :
        ( sK5(i2003_11_14_17_18_39380) = X0
        | sK5(i2003_11_14_17_18_39380) = sK6(i2003_11_14_17_18_39380)
        | ~ rr(i2003_11_14_17_18_39380,X0)
        | sK6(i2003_11_14_17_18_39380) = X0
        | ~ sP0(i2003_11_14_17_18_39380) )
    | ~ spl7_3 ),
    inference(resolution,[],[f154,f88]) ).

fof(f246,definition,
    ( spl7_15
  <=> sK4(i2003_11_14_17_18_39380) = sK5(i2003_11_14_17_18_39380) ),
    introduced(definition,[new_symbols(definition,[spl7_15])],[avatar_definition]) ).

fof(f247,plain,
    ( sK4(i2003_11_14_17_18_39380) != sK5(i2003_11_14_17_18_39380)
    | spl7_15 ),
    inference(avatar_component_clause,[],[f246]) ).

fof(f248,plain,
    ( sK4(i2003_11_14_17_18_39380) = sK5(i2003_11_14_17_18_39380)
    | ~ spl7_15 ),
    inference(avatar_component_clause,[],[f246]) ).

fof(f272,plain,
    ( ~ sP0(i2003_11_14_17_18_39380)
    | ~ spl7_11 ),
    inference(resolution,[],[f232,f89]) ).

fof(f273,plain,
    ( $false
    | ~ spl7_1
    | ~ spl7_11 ),
    inference(forward_subsumption_resolution,[],[f272,f146]) ).

fof(f274,plain,
    ( ~ spl7_1
    | ~ spl7_11 ),
    inference(avatar_contradiction_clause,[],[f273]) ).

fof(f275,plain,
    ( ! [X0] :
        ( sK5(i2003_11_14_17_18_39380) = X0
        | sK5(i2003_11_14_17_18_39380) = sK6(i2003_11_14_17_18_39380)
        | ~ rr(i2003_11_14_17_18_39380,X0)
        | sK6(i2003_11_14_17_18_39380) = X0 )
    | ~ spl7_1
    | ~ spl7_3 ),
    inference(forward_subsumption_resolution,[],[f240,f146]) ).

fof(f277,plain,
    ( spl7_11
    | spl7_12
    | ~ spl7_1
    | ~ spl7_3 ),
    inference(avatar_split_clause,[],[f275,f153,f145,f213,f209]) ).

fof(f282,plain,
    ( ~ cp1(sK4(i2003_11_14_17_18_39380))
    | ~ cUnsatisfiable(i2003_11_14_17_18_39380)
    | ~ spl7_13 ),
    inference(superposition,[],[f131,f219]) ).

fof(f288,plain,
    ( ~ cp1(sK4(i2003_11_14_17_18_39380))
    | ~ spl7_13 ),
    inference(forward_subsumption_resolution,[],[f282,f113]) ).

fof(f291,plain,
    ( ~ cp1(sK4(i2003_11_14_17_18_39380))
    | ~ sP0(i2003_11_14_17_18_39380)
    | ~ spl7_15 ),
    inference(superposition,[],[f129,f248]) ).

fof(f294,plain,
    ( ~ sP0(i2003_11_14_17_18_39380)
    | ~ spl7_15 ),
    inference(forward_subsumption_resolution,[],[f291,f91]) ).

fof(f295,plain,
    ( $false
    | ~ spl7_1
    | ~ spl7_15 ),
    inference(forward_subsumption_resolution,[],[f294,f146]) ).

fof(f296,plain,
    ( ~ spl7_1
    | ~ spl7_15 ),
    inference(avatar_contradiction_clause,[],[f295]) ).

fof(f301,plain,
    ( sK4(i2003_11_14_17_18_39380) = sK5(i2003_11_14_17_18_39380)
    | sK4(i2003_11_14_17_18_39380) = sK6(i2003_11_14_17_18_39380)
    | ~ sP0(i2003_11_14_17_18_39380)
    | ~ spl7_12 ),
    inference(resolution,[],[f214,f92]) ).

fof(f304,plain,
    ( sK4(i2003_11_14_17_18_39380) = sK6(i2003_11_14_17_18_39380)
    | ~ sP0(i2003_11_14_17_18_39380)
    | ~ spl7_12
    | spl7_15 ),
    inference(forward_subsumption_resolution,[],[f301,f247]) ).

fof(f308,plain,
    ( sK4(i2003_11_14_17_18_39380) = sK6(i2003_11_14_17_18_39380)
    | ~ spl7_1
    | ~ spl7_12
    | spl7_15 ),
    inference(forward_subsumption_resolution,[],[f304,f146]) ).

fof(f309,plain,
    ( spl7_13
    | ~ spl7_1
    | ~ spl7_12
    | spl7_15 ),
    inference(avatar_split_clause,[],[f308,f246,f213,f145,f217]) ).

fof(f342,plain,
    ( ~ sP0(i2003_11_14_17_18_39380)
    | ~ spl7_13 ),
    inference(resolution,[],[f288,f91]) ).

fof(f343,plain,
    ( $false
    | ~ spl7_1
    | ~ spl7_13 ),
    inference(forward_subsumption_resolution,[],[f342,f146]) ).

fof(f344,plain,
    ( ~ spl7_1
    | ~ spl7_13 ),
    inference(avatar_contradiction_clause,[],[f343]) ).

cnf(s2,plain,
    ( ~ spl7_1
    | spl7_3 ),
    inference(sat_conversion,[],[f155]) ).

cnf(s6,plain,
    spl7_1,
    inference(sat_conversion,[],[f180]) ).

cnf(s14,plain,
    ( ~ spl7_1
    | ~ spl7_11 ),
    inference(sat_conversion,[],[f274]) ).

cnf(s16,plain,
    ( ~ spl7_1
    | ~ spl7_3
    | spl7_11
    | spl7_12 ),
    inference(sat_conversion,[],[f277]) ).

cnf(s18,plain,
    ( ~ spl7_1
    | ~ spl7_15 ),
    inference(sat_conversion,[],[f296]) ).

cnf(s20,plain,
    ( ~ spl7_1
    | ~ spl7_12
    | spl7_13
    | spl7_15 ),
    inference(sat_conversion,[],[f309]) ).

cnf(s22,plain,
    ( ~ spl7_1
    | ~ spl7_13 ),
    inference(sat_conversion,[],[f344]) ).

cnf(s23,plain,
    ~ spl7_13,
    inference(rat,[],[s22,s6]) ).

cnf(s24,plain,
    ~ spl7_15,
    inference(rat,[],[s18,s6]) ).

cnf(s25,plain,
    ~ spl7_11,
    inference(rat,[],[s14,s6]) ).

cnf(s27,plain,
    ~ spl7_12,
    inference(rat,[],[s20,s6,s23,s24]) ).

cnf(s28,plain,
    ~ spl7_3,
    inference(rat,[],[s16,s27,s6,s25]) ).

cnf(s33,plain,
    $false,
    inference(rat,[],[s2,s28,s6]) ).

fof(f345,plain,
    $false,
    inference(avatar_sat_refutation,[],[s33]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : KRS071+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.37  % Computer : n011.cluster.edu
% 0.12/0.37  % Model    : x86_64 x86_64
% 0.12/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.37  % Memory   : 8046.5625MB
% 0.12/0.37  % OS       : Linux 6.8.0-71-generic
% 0.12/0.37  % CPULimit : 300
% 0.12/0.37  % WCLimit  : 300
% 0.12/0.37  % DateTime : Sun Sep 27 13:19:30 UTC 2026
% 0.12/0.37  % CPUTime  : 
% 0.12/0.37  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.41  Running first-order theorem proving
% 0.12/0.41  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
% 2.82/1.26  % (2406625)Detected formulas, will run a generic FOF schedule.
% 2.82/1.26  % (2406633)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2719542889:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 2.82/1.26  % (2406633)Refutation not found, incomplete strategy
% 2.82/1.26  % (2406633)------------------------------
% 2.82/1.26  % (2406633)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.82/1.26  % (2406633)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.82/1.26  % (2406633)CaDiCaL version: 2.1.3
% 2.82/1.26  % (2406633)Termination reason: Refutation not found, incomplete strategy
% 2.82/1.26  % (2406633)Time elapsed: 0.0000 s
% 2.82/1.26  % (2406633)Peak memory usage: 86 MB
% 2.82/1.26  % (2406635)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3346859589:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 2.82/1.26  % (2406636)dis-21_1_sil=8000:lcm=predicate:random_seed=2086849636:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 2.82/1.26  % (2406631)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=3464446780:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 2.82/1.26  % (2406630)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=2989760761:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 2.82/1.26  % (2406634)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2753606410:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 2.82/1.26  % (2406632)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=2389995344:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 2.82/1.26  % (2406634)Refutation not found, incomplete strategy
% 2.82/1.26  % (2406634)------------------------------
% 2.82/1.26  % (2406634)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.82/1.26  % (2406634)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.82/1.26  % (2406634)CaDiCaL version: 2.1.3
% 2.82/1.26  % (2406634)Termination reason: Refutation not found, incomplete strategy
% 2.82/1.26  % (2406634)Time elapsed: 0.0000 s
% 2.82/1.26  % (2406634)Peak memory usage: 86 MB
% 2.82/1.26  % (2406636)Refutation not found, incomplete strategy
% 2.82/1.26  % (2406636)------------------------------
% 2.82/1.26  % (2406636)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.82/1.26  % (2406636)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.82/1.26  % (2406636)CaDiCaL version: 2.1.3
% 2.82/1.26  % (2406636)Termination reason: Refutation not found, incomplete strategy
% 2.82/1.26  % (2406636)Time elapsed: 0.005 s
% 2.82/1.26  % (2406636)Peak memory usage: 88 MB
% 2.82/1.26  % (2406636)Instructions burned: 9 (million)
% 2.82/1.26  % (2406635)First to succeed.
% 2.82/1.26  % (2406635)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2406625"
% 2.82/1.26  % (2406633)------------------------------
% 2.82/1.26  % (2406633)------------------------------
% 2.82/1.26  % (2406644)lrs+10_1_sil=8000:sp=occurrence:random_seed=2242791416:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 2.82/1.26  % (2406644)Refutation not found, incomplete strategy
% 2.82/1.26  % (2406644)------------------------------
% 2.82/1.26  % (2406644)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.82/1.26  % (2406644)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.82/1.26  % (2406644)CaDiCaL version: 2.1.3
% 2.82/1.26  % (2406644)Termination reason: Refutation not found, incomplete strategy
% 2.82/1.26  % (2406644)Time elapsed: 0.0000 s
% 2.82/1.26  % (2406644)Peak memory usage: 86 MB
% 2.82/1.26  % (2406636)------------------------------
% 2.82/1.26  % (2406636)------------------------------
% 2.82/1.26  % (2406634)------------------------------
% 2.82/1.26  % (2406634)------------------------------
% 2.82/1.26  % (2406635)Refutation found. Thanks to Tanya!
% 2.82/1.26  % SZS status Unsatisfiable for theBenchmark
% 2.82/1.26  % SZS output start Proof for theBenchmark
% See solution above
% 3.41/1.36  % (2406635)------------------------------
% 3.41/1.36  % (2406635)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.41/1.36  % (2406635)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.41/1.36  % (2406635)CaDiCaL version: 2.1.3
% 3.41/1.36  % (2406635)Termination reason: Refutation
% 3.41/1.36  % (2406635)Time elapsed: 0.010 s
% 3.41/1.36  % (2406635)Peak memory usage: 89 MB
% 3.41/1.36  % (2406635)Instructions burned: 13 (million)
% 3.41/1.36  % (2406635)------------------------------
% 3.41/1.36  % (2406635)------------------------------
% 3.41/1.36  % (2406625)Success in time 0.413 s
% 3.41/1.36  % Vampire exiting
%------------------------------------------------------------------------------