↑ Up

Vampire---5.0.1.THM-Ref.s

View TPTP
Problem
Process solution in
SystemOnTSTP
Download .tgz
%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : MGT007+1 : TPTP v9.3.1. Released v2.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM

% Computer : n004.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Tue Sep 29 12:01:58 PM UTC 2026

% Result   : Theorem 1.96s 1.11s
% Output   : Refutation 2.60s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   27
%            Number of leaves      :   12
% Syntax   : Number of formulae    :  106 (  23 unt;   7 def)
%            Number of atoms       :  477 (   0 equ)
%            Maximal formula atoms :   14 (   4 avg)
%            Number of connectives :  671 ( 300   ~; 291   |;  64   &)
%                                         (  10 <=>;   6  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   23 (   8 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :   14 (  13 usr;   8 prp; 0-3 aty)
%            Number of functors    :    9 (   9 usr;   7 con; 0-2 aty)
%            Number of variables   :  264 (   0 sgn 246   !;  18   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    ! [X0,X1] :
      ( organization(X0,X1)
     => ? [X2] : reliability(X0,X2,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp1) ).

fof(f2,axiom,
    ! [X0,X1] :
      ( organization(X0,X1)
     => ? [X2] : accountability(X0,X2,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp2) ).

fof(f4,axiom,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
      ( ( organization(X0,X2)
        & organization(X1,X3)
        & reliability(X0,X4,X2)
        & reliability(X1,X5,X3)
        & accountability(X0,X6,X2)
        & accountability(X1,X7,X3)
        & reproducibility(X0,X8,X2)
        & reproducibility(X1,X9,X3) )
     => ( greater(X9,X8)
      <=> ( greater(X5,X4)
          & greater(X7,X6) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a2_FOL) ).

fof(f5,axiom,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
      ( ( organization(X0,X5)
        & organization(X0,X6)
        & reorganization(X0,X7,X8)
        & reliability(X0,X1,X5)
        & reliability(X0,X2,X6)
        & accountability(X0,X3,X5)
        & accountability(X0,X4,X6)
        & ~ greater(X7,X5)
        & greater(X6,X5)
        & ~ greater(X6,X8) )
     => ( greater(X1,X2)
        & greater(X3,X4) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a6_FOL) ).

fof(f6,conjecture,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ( organization(X0,X3)
        & organization(X0,X4)
        & reorganization(X0,X5,X6)
        & reproducibility(X0,X1,X3)
        & reproducibility(X0,X2,X4)
        & ~ greater(X5,X3)
        & greater(X4,X3)
        & ~ greater(X4,X6) )
     => greater(X1,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t7_FOL) ).

fof(f7,negated_conjecture,
    ~ ! [X0,X1,X2,X3,X4,X5,X6] :
        ( ( organization(X0,X3)
          & organization(X0,X4)
          & reorganization(X0,X5,X6)
          & reproducibility(X0,X1,X3)
          & reproducibility(X0,X2,X4)
          & ~ greater(X5,X3)
          & greater(X4,X3)
          & ~ greater(X4,X6) )
       => greater(X1,X2) ),
    inference(negated_conjecture,[status(cth)],[f6]) ).

fof(f8,plain,
    ! [X0,X1] :
      ( ? [X2] : reliability(X0,X2,X1)
      | ~ organization(X0,X1) ),
    inference(ennf_transformation,[],[f1]) ).

fof(f9,plain,
    ! [X0,X1] :
      ( ? [X2] : accountability(X0,X2,X1)
      | ~ organization(X0,X1) ),
    inference(ennf_transformation,[],[f2]) ).

fof(f11,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
      ( ( greater(X9,X8)
      <=> ( greater(X5,X4)
          & greater(X7,X6) ) )
      | ~ organization(X0,X2)
      | ~ organization(X1,X3)
      | ~ reliability(X0,X4,X2)
      | ~ reliability(X1,X5,X3)
      | ~ accountability(X0,X6,X2)
      | ~ accountability(X1,X7,X3)
      | ~ reproducibility(X0,X8,X2)
      | ~ reproducibility(X1,X9,X3) ),
    inference(ennf_transformation,[],[f4]) ).

fof(f12,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
      ( ( greater(X9,X8)
      <=> ( greater(X5,X4)
          & greater(X7,X6) ) )
      | ~ organization(X0,X2)
      | ~ organization(X1,X3)
      | ~ reliability(X0,X4,X2)
      | ~ reliability(X1,X5,X3)
      | ~ accountability(X0,X6,X2)
      | ~ accountability(X1,X7,X3)
      | ~ reproducibility(X0,X8,X2)
      | ~ reproducibility(X1,X9,X3) ),
    inference(flattening,[],[f11]) ).

fof(f13,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
      ( ( greater(X1,X2)
        & greater(X3,X4) )
      | ~ organization(X0,X5)
      | ~ organization(X0,X6)
      | ~ reorganization(X0,X7,X8)
      | ~ reliability(X0,X1,X5)
      | ~ reliability(X0,X2,X6)
      | ~ accountability(X0,X3,X5)
      | ~ accountability(X0,X4,X6)
      | greater(X7,X5)
      | ~ greater(X6,X5)
      | greater(X6,X8) ),
    inference(ennf_transformation,[],[f5]) ).

fof(f14,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
      ( ( greater(X1,X2)
        & greater(X3,X4) )
      | ~ organization(X0,X5)
      | ~ organization(X0,X6)
      | ~ reorganization(X0,X7,X8)
      | ~ reliability(X0,X1,X5)
      | ~ reliability(X0,X2,X6)
      | ~ accountability(X0,X3,X5)
      | ~ accountability(X0,X4,X6)
      | greater(X7,X5)
      | ~ greater(X6,X5)
      | greater(X6,X8) ),
    inference(flattening,[],[f13]) ).

fof(f15,plain,
    ? [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ greater(X1,X2)
      & organization(X0,X3)
      & organization(X0,X4)
      & reorganization(X0,X5,X6)
      & reproducibility(X0,X1,X3)
      & reproducibility(X0,X2,X4)
      & ~ greater(X5,X3)
      & greater(X4,X3)
      & ~ greater(X4,X6) ),
    inference(ennf_transformation,[],[f7]) ).

fof(f16,plain,
    ? [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ greater(X1,X2)
      & organization(X0,X3)
      & organization(X0,X4)
      & reorganization(X0,X5,X6)
      & reproducibility(X0,X1,X3)
      & reproducibility(X0,X2,X4)
      & ~ greater(X5,X3)
      & greater(X4,X3)
      & ~ greater(X4,X6) ),
    inference(flattening,[],[f15]) ).

fof(f17,plain,
    ! [X0,X1] :
      ( reliability(X0,sK0(X0,X1),X1)
      | ~ organization(X0,X1) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X2,sK0(X0,X1))],[f8]) ).

fof(f18,plain,
    ! [X0,X1] :
      ( accountability(X0,sK1(X0,X1),X1)
      | ~ organization(X0,X1) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK1]),skolemize(X2,sK1(X0,X1))],[f9]) ).

fof(f20,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
      ( ( ( greater(X9,X8)
          | ~ greater(X5,X4)
          | ~ greater(X7,X6) )
        & ( ( greater(X5,X4)
            & greater(X7,X6) )
          | ~ greater(X9,X8) ) )
      | ~ organization(X0,X2)
      | ~ organization(X1,X3)
      | ~ reliability(X0,X4,X2)
      | ~ reliability(X1,X5,X3)
      | ~ accountability(X0,X6,X2)
      | ~ accountability(X1,X7,X3)
      | ~ reproducibility(X0,X8,X2)
      | ~ reproducibility(X1,X9,X3) ),
    inference(nnf_transformation,[],[f12]) ).

fof(f21,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
      ( ( ( greater(X9,X8)
          | ~ greater(X5,X4)
          | ~ greater(X7,X6) )
        & ( ( greater(X5,X4)
            & greater(X7,X6) )
          | ~ greater(X9,X8) ) )
      | ~ organization(X0,X2)
      | ~ organization(X1,X3)
      | ~ reliability(X0,X4,X2)
      | ~ reliability(X1,X5,X3)
      | ~ accountability(X0,X6,X2)
      | ~ accountability(X1,X7,X3)
      | ~ reproducibility(X0,X8,X2)
      | ~ reproducibility(X1,X9,X3) ),
    inference(flattening,[],[f20]) ).

fof(f22,plain,
    ( ~ greater(sK4,sK5)
    & organization(sK3,sK6)
    & organization(sK3,sK7)
    & reorganization(sK3,sK8,sK9)
    & reproducibility(sK3,sK4,sK6)
    & reproducibility(sK3,sK5,sK7)
    & ~ greater(sK8,sK6)
    & greater(sK7,sK6)
    & ~ greater(sK7,sK9) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK3,sK4,sK5,sK6,sK7,sK8,sK9]),skolemize(X0,sK3),skolemize(X1,sK4),skolemize(X2,sK5),skolemize(X3,sK6),skolemize(X4,sK7),skolemize(X5,sK8),skolemize(X6,sK9)],[f16]) ).

fof(f23,plain,
    ! [X0,X1] :
      ( reliability(X0,sK0(X0,X1),X1)
      | ~ organization(X0,X1) ),
    inference(cnf_transformation,[],[f17]) ).

fof(f24,plain,
    ! [X0,X1] :
      ( accountability(X0,sK1(X0,X1),X1)
      | ~ organization(X0,X1) ),
    inference(cnf_transformation,[],[f18]) ).

fof(f28,plain,
    ! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] :
      ( ~ greater(X5,X4)
      | greater(X9,X8)
      | ~ greater(X7,X6)
      | ~ organization(X0,X2)
      | ~ organization(X1,X3)
      | ~ reliability(X0,X4,X2)
      | ~ reliability(X1,X5,X3)
      | ~ accountability(X0,X6,X2)
      | ~ accountability(X1,X7,X3)
      | ~ reproducibility(X0,X8,X2)
      | ~ reproducibility(X1,X9,X3) ),
    inference(cnf_transformation,[],[f21]) ).

fof(f29,plain,
    ! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
      ( ~ greater(X6,X5)
      | ~ organization(X0,X5)
      | ~ organization(X0,X6)
      | ~ reorganization(X0,X7,X8)
      | ~ reliability(X0,X1,X5)
      | ~ reliability(X0,X2,X6)
      | ~ accountability(X0,X3,X5)
      | ~ accountability(X0,X4,X6)
      | greater(X7,X5)
      | greater(X3,X4)
      | greater(X6,X8) ),
    inference(cnf_transformation,[],[f14]) ).

fof(f30,plain,
    ! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
      ( ~ greater(X6,X5)
      | ~ organization(X0,X5)
      | ~ organization(X0,X6)
      | ~ reorganization(X0,X7,X8)
      | ~ reliability(X0,X1,X5)
      | ~ reliability(X0,X2,X6)
      | ~ accountability(X0,X3,X5)
      | ~ accountability(X0,X4,X6)
      | greater(X7,X5)
      | greater(X1,X2)
      | greater(X6,X8) ),
    inference(cnf_transformation,[],[f14]) ).

fof(f31,plain,
    ~ greater(sK7,sK9),
    inference(cnf_transformation,[],[f22]) ).

fof(f32,plain,
    greater(sK7,sK6),
    inference(cnf_transformation,[],[f22]) ).

fof(f33,plain,
    ~ greater(sK8,sK6),
    inference(cnf_transformation,[],[f22]) ).

fof(f34,plain,
    reproducibility(sK3,sK5,sK7),
    inference(cnf_transformation,[],[f22]) ).

fof(f35,plain,
    reproducibility(sK3,sK4,sK6),
    inference(cnf_transformation,[],[f22]) ).

fof(f36,plain,
    reorganization(sK3,sK8,sK9),
    inference(cnf_transformation,[],[f22]) ).

fof(f37,plain,
    organization(sK3,sK7),
    inference(cnf_transformation,[],[f22]) ).

fof(f38,plain,
    organization(sK3,sK6),
    inference(cnf_transformation,[],[f22]) ).

fof(f39,plain,
    ~ greater(sK4,sK5),
    inference(cnf_transformation,[],[f22]) ).

fof(f42,plain,
    ! [X2,X3,X0,X1,X6,X4,X5] :
      ( ~ organization(X0,sK7)
      | ~ organization(X0,sK6)
      | ~ reorganization(X0,X1,X2)
      | ~ reliability(X0,X3,sK6)
      | ~ reliability(X0,X4,sK7)
      | ~ accountability(X0,X5,sK6)
      | ~ accountability(X0,X6,sK7)
      | greater(X1,sK6)
      | greater(X5,X6)
      | greater(sK7,X2) ),
    inference(resolution,[],[f29,f32]) ).

fof(f43,plain,
    ! [X2,X3,X0,X1,X6,X4,X5] :
      ( ~ organization(X0,sK7)
      | ~ organization(X0,sK6)
      | ~ reorganization(X0,X1,X2)
      | ~ reliability(X0,X3,sK6)
      | ~ reliability(X0,X4,sK7)
      | ~ accountability(X0,X5,sK6)
      | ~ accountability(X0,X6,sK7)
      | greater(X1,sK6)
      | greater(X3,X4)
      | greater(sK7,X2) ),
    inference(resolution,[],[f30,f32]) ).

fof(f44,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( ~ organization(sK3,sK6)
      | ~ reorganization(sK3,X0,X1)
      | ~ reliability(sK3,X2,sK6)
      | ~ reliability(sK3,X3,sK7)
      | ~ accountability(sK3,X4,sK6)
      | ~ accountability(sK3,X5,sK7)
      | greater(X0,sK6)
      | greater(X4,X5)
      | greater(sK7,X1) ),
    inference(resolution,[],[f42,f37]) ).

fof(f45,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( ~ reorganization(sK3,X0,X1)
      | ~ reliability(sK3,X2,sK6)
      | ~ reliability(sK3,X3,sK7)
      | ~ accountability(sK3,X4,sK6)
      | ~ accountability(sK3,X5,sK7)
      | greater(X0,sK6)
      | greater(X4,X5)
      | greater(sK7,X1) ),
    inference(forward_subsumption_resolution,[],[f44,f38]) ).

fof(f47,definition,
    ( spl10_1
  <=> ! [X4,X5] :
        ( ~ accountability(sK3,X4,sK6)
        | greater(X4,X5)
        | ~ accountability(sK3,X5,sK7) ) ),
    introduced(definition,[new_symbols(definition,[spl10_1])],[avatar_definition]) ).

fof(f48,plain,
    ( ! [X4,X5] :
        ( ~ accountability(sK3,X5,sK7)
        | greater(X4,X5)
        | ~ accountability(sK3,X4,sK6) )
    | ~ spl10_1 ),
    inference(avatar_component_clause,[],[f47]) ).

fof(f50,definition,
    ( spl10_2
  <=> ! [X3] : ~ reliability(sK3,X3,sK7) ),
    introduced(definition,[new_symbols(definition,[spl10_2])],[avatar_definition]) ).

fof(f51,plain,
    ( ! [X3] : ~ reliability(sK3,X3,sK7)
    | ~ spl10_2 ),
    inference(avatar_component_clause,[],[f50]) ).

fof(f53,definition,
    ( spl10_3
  <=> ! [X2] : ~ reliability(sK3,X2,sK6) ),
    introduced(definition,[new_symbols(definition,[spl10_3])],[avatar_definition]) ).

fof(f54,plain,
    ( ! [X2] : ~ reliability(sK3,X2,sK6)
    | ~ spl10_3 ),
    inference(avatar_component_clause,[],[f53]) ).

fof(f56,definition,
    ( spl10_4
  <=> ! [X0,X1] :
        ( ~ reorganization(sK3,X0,X1)
        | greater(sK7,X1)
        | greater(X0,sK6) ) ),
    introduced(definition,[new_symbols(definition,[spl10_4])],[avatar_definition]) ).

fof(f57,plain,
    ( ! [X0,X1] :
        ( ~ reorganization(sK3,X0,X1)
        | greater(sK7,X1)
        | greater(X0,sK6) )
    | ~ spl10_4 ),
    inference(avatar_component_clause,[],[f56]) ).

fof(f58,plain,
    ( spl10_1
    | spl10_2
    | spl10_3
    | spl10_4 ),
    inference(avatar_split_clause,[],[f45,f56,f53,f50,f47]) ).

fof(f61,plain,
    ( ~ organization(sK3,sK7)
    | ~ spl10_2 ),
    inference(resolution,[],[f51,f23]) ).

fof(f62,plain,
    ( $false
    | ~ spl10_2 ),
    inference(forward_subsumption_resolution,[],[f61,f37]) ).

fof(f63,plain,
    ~ spl10_2,
    inference(avatar_contradiction_clause,[],[f62]) ).

fof(f64,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( ~ organization(sK3,sK6)
      | ~ reorganization(sK3,X0,X1)
      | ~ reliability(sK3,X2,sK6)
      | ~ reliability(sK3,X3,sK7)
      | ~ accountability(sK3,X4,sK6)
      | ~ accountability(sK3,X5,sK7)
      | greater(X0,sK6)
      | greater(X2,X3)
      | greater(sK7,X1) ),
    inference(resolution,[],[f43,f37]) ).

fof(f65,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( ~ reorganization(sK3,X0,X1)
      | ~ reliability(sK3,X2,sK6)
      | ~ reliability(sK3,X3,sK7)
      | ~ accountability(sK3,X4,sK6)
      | ~ accountability(sK3,X5,sK7)
      | greater(X0,sK6)
      | greater(X2,X3)
      | greater(sK7,X1) ),
    inference(forward_subsumption_resolution,[],[f64,f38]) ).

fof(f67,definition,
    ( spl10_5
  <=> ! [X5] : ~ accountability(sK3,X5,sK7) ),
    introduced(definition,[new_symbols(definition,[spl10_5])],[avatar_definition]) ).

fof(f68,plain,
    ( ! [X5] : ~ accountability(sK3,X5,sK7)
    | ~ spl10_5 ),
    inference(avatar_component_clause,[],[f67]) ).

fof(f70,definition,
    ( spl10_6
  <=> ! [X4] : ~ accountability(sK3,X4,sK6) ),
    introduced(definition,[new_symbols(definition,[spl10_6])],[avatar_definition]) ).

fof(f71,plain,
    ( ! [X4] : ~ accountability(sK3,X4,sK6)
    | ~ spl10_6 ),
    inference(avatar_component_clause,[],[f70]) ).

fof(f73,definition,
    ( spl10_7
  <=> ! [X2,X3] :
        ( ~ reliability(sK3,X2,sK6)
        | greater(X2,X3)
        | ~ reliability(sK3,X3,sK7) ) ),
    introduced(definition,[new_symbols(definition,[spl10_7])],[avatar_definition]) ).

fof(f74,plain,
    ( ! [X2,X3] :
        ( ~ reliability(sK3,X3,sK7)
        | greater(X2,X3)
        | ~ reliability(sK3,X2,sK6) )
    | ~ spl10_7 ),
    inference(avatar_component_clause,[],[f73]) ).

fof(f75,plain,
    ( spl10_5
    | spl10_6
    | spl10_7
    | spl10_4 ),
    inference(avatar_split_clause,[],[f65,f56,f73,f70,f67]) ).

fof(f76,plain,
    ( ~ organization(sK3,sK6)
    | ~ spl10_3 ),
    inference(resolution,[],[f54,f23]) ).

fof(f77,plain,
    ( $false
    | ~ spl10_3 ),
    inference(forward_subsumption_resolution,[],[f76,f38]) ).

fof(f78,plain,
    ~ spl10_3,
    inference(avatar_contradiction_clause,[],[f77]) ).

fof(f79,plain,
    ( greater(sK7,sK9)
    | greater(sK8,sK6)
    | ~ spl10_4 ),
    inference(resolution,[],[f57,f36]) ).

fof(f80,plain,
    ( greater(sK8,sK6)
    | ~ spl10_4 ),
    inference(forward_subsumption_resolution,[],[f79,f31]) ).

fof(f81,plain,
    ( $false
    | ~ spl10_4 ),
    inference(forward_subsumption_resolution,[],[f80,f33]) ).

fof(f82,plain,
    ~ spl10_4,
    inference(avatar_contradiction_clause,[],[f81]) ).

fof(f84,plain,
    ( ~ organization(sK3,sK6)
    | ~ spl10_6 ),
    inference(resolution,[],[f71,f24]) ).

fof(f85,plain,
    ( $false
    | ~ spl10_6 ),
    inference(forward_subsumption_resolution,[],[f84,f38]) ).

fof(f86,plain,
    ~ spl10_6,
    inference(avatar_contradiction_clause,[],[f85]) ).

fof(f87,plain,
    ( ! [X0] :
        ( greater(X0,sK1(sK3,sK7))
        | ~ accountability(sK3,X0,sK6)
        | ~ organization(sK3,sK7) )
    | ~ spl10_1 ),
    inference(resolution,[],[f48,f24]) ).

fof(f88,plain,
    ( ! [X0] :
        ( ~ accountability(sK3,X0,sK6)
        | greater(X0,sK1(sK3,sK7)) )
    | ~ spl10_1 ),
    inference(forward_subsumption_resolution,[],[f87,f37]) ).

fof(f89,plain,
    ( greater(sK1(sK3,sK6),sK1(sK3,sK7))
    | ~ organization(sK3,sK6)
    | ~ spl10_1 ),
    inference(resolution,[],[f88,f24]) ).

fof(f90,plain,
    ( greater(sK1(sK3,sK6),sK1(sK3,sK7))
    | ~ spl10_1 ),
    inference(forward_subsumption_resolution,[],[f89,f38]) ).

fof(f91,plain,
    ( ! [X0] :
        ( greater(X0,sK0(sK3,sK7))
        | ~ reliability(sK3,X0,sK6)
        | ~ organization(sK3,sK7) )
    | ~ spl10_7 ),
    inference(resolution,[],[f74,f23]) ).

fof(f92,plain,
    ( ! [X0] :
        ( ~ reliability(sK3,X0,sK6)
        | greater(X0,sK0(sK3,sK7)) )
    | ~ spl10_7 ),
    inference(forward_subsumption_resolution,[],[f91,f37]) ).

fof(f99,plain,
    ( greater(sK0(sK3,sK6),sK0(sK3,sK7))
    | ~ organization(sK3,sK6)
    | ~ spl10_7 ),
    inference(resolution,[],[f92,f23]) ).

fof(f100,plain,
    ( greater(sK0(sK3,sK6),sK0(sK3,sK7))
    | ~ spl10_7 ),
    inference(forward_subsumption_resolution,[],[f99,f38]) ).

fof(f102,plain,
    ( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
        ( ~ reliability(X6,sK0(sK3,sK6),X7)
        | ~ greater(X2,X3)
        | ~ organization(X4,X5)
        | ~ organization(X6,X7)
        | ~ reliability(X4,sK0(sK3,sK7),X5)
        | greater(X0,X1)
        | ~ accountability(X4,X3,X5)
        | ~ accountability(X6,X2,X7)
        | ~ reproducibility(X4,X1,X5)
        | ~ reproducibility(X6,X0,X7) )
    | ~ spl10_7 ),
    inference(resolution,[],[f100,f28]) ).

fof(f107,plain,
    ( ! [X2,X3,X0,X1,X4,X5] :
        ( ~ greater(X0,X1)
        | ~ organization(X2,X3)
        | ~ organization(sK3,sK6)
        | ~ reliability(X2,sK0(sK3,sK7),X3)
        | greater(X4,X5)
        | ~ accountability(X2,X1,X3)
        | ~ accountability(sK3,X0,sK6)
        | ~ reproducibility(X2,X5,X3)
        | ~ reproducibility(sK3,X4,sK6)
        | ~ organization(sK3,sK6) )
    | ~ spl10_7 ),
    inference(resolution,[],[f102,f23]) ).

fof(f108,plain,
    ( ! [X2,X3,X0,X1,X4,X5] :
        ( ~ greater(X0,X1)
        | ~ organization(X2,X3)
        | ~ organization(sK3,sK6)
        | ~ reliability(X2,sK0(sK3,sK7),X3)
        | greater(X4,X5)
        | ~ accountability(X2,X1,X3)
        | ~ accountability(sK3,X0,sK6)
        | ~ reproducibility(X2,X5,X3)
        | ~ reproducibility(sK3,X4,sK6) )
    | ~ spl10_7 ),
    inference(duplicate_literal_removal,[],[f107]) ).

fof(f109,plain,
    ( ! [X2,X3,X0,X1,X4,X5] :
        ( ~ accountability(sK3,X0,sK6)
        | ~ organization(X2,X3)
        | ~ reliability(X2,sK0(sK3,sK7),X3)
        | greater(X4,X5)
        | ~ accountability(X2,X1,X3)
        | ~ greater(X0,X1)
        | ~ reproducibility(X2,X5,X3)
        | ~ reproducibility(sK3,X4,sK6) )
    | ~ spl10_7 ),
    inference(forward_subsumption_resolution,[],[f108,f38]) ).

fof(f110,plain,
    ( ! [X2,X3,X0,X1,X4] :
        ( ~ organization(X0,X1)
        | ~ reliability(X0,sK0(sK3,sK7),X1)
        | greater(X2,X3)
        | ~ accountability(X0,X4,X1)
        | ~ greater(sK1(sK3,sK6),X4)
        | ~ reproducibility(X0,X3,X1)
        | ~ reproducibility(sK3,X2,sK6)
        | ~ organization(sK3,sK6) )
    | ~ spl10_7 ),
    inference(resolution,[],[f109,f24]) ).

fof(f113,plain,
    ( ! [X2,X3,X0,X1,X4] :
        ( ~ greater(sK1(sK3,sK6),X4)
        | ~ reliability(X0,sK0(sK3,sK7),X1)
        | greater(X2,X3)
        | ~ accountability(X0,X4,X1)
        | ~ organization(X0,X1)
        | ~ reproducibility(X0,X3,X1)
        | ~ reproducibility(sK3,X2,sK6) )
    | ~ spl10_7 ),
    inference(forward_subsumption_resolution,[],[f110,f38]) ).

fof(f125,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ accountability(X0,sK1(sK3,sK7),X1)
        | greater(X2,X3)
        | ~ reliability(X0,sK0(sK3,sK7),X1)
        | ~ organization(X0,X1)
        | ~ reproducibility(X0,X3,X1)
        | ~ reproducibility(sK3,X2,sK6) )
    | ~ spl10_1
    | ~ spl10_7 ),
    inference(resolution,[],[f113,f90]) ).

fof(f126,plain,
    ( ! [X0,X1] :
        ( greater(X0,X1)
        | ~ reliability(sK3,sK0(sK3,sK7),sK7)
        | ~ organization(sK3,sK7)
        | ~ reproducibility(sK3,X1,sK7)
        | ~ reproducibility(sK3,X0,sK6)
        | ~ organization(sK3,sK7) )
    | ~ spl10_1
    | ~ spl10_7 ),
    inference(resolution,[],[f125,f24]) ).

fof(f127,plain,
    ( ! [X0,X1] :
        ( greater(X0,X1)
        | ~ reliability(sK3,sK0(sK3,sK7),sK7)
        | ~ organization(sK3,sK7)
        | ~ reproducibility(sK3,X1,sK7)
        | ~ reproducibility(sK3,X0,sK6) )
    | ~ spl10_1
    | ~ spl10_7 ),
    inference(duplicate_literal_removal,[],[f126]) ).

fof(f128,plain,
    ( ! [X0,X1] :
        ( greater(X0,X1)
        | ~ organization(sK3,sK7)
        | ~ reproducibility(sK3,X1,sK7)
        | ~ reproducibility(sK3,X0,sK6) )
    | ~ spl10_1
    | ~ spl10_7 ),
    inference(forward_subsumption_resolution,[],[f127,f23]) ).

fof(f129,plain,
    ( ! [X0,X1] :
        ( ~ reproducibility(sK3,X1,sK7)
        | greater(X0,X1)
        | ~ reproducibility(sK3,X0,sK6) )
    | ~ spl10_1
    | ~ spl10_7 ),
    inference(forward_subsumption_resolution,[],[f128,f37]) ).

fof(f130,plain,
    ( ! [X0] :
        ( ~ reproducibility(sK3,X0,sK6)
        | greater(X0,sK5) )
    | ~ spl10_1
    | ~ spl10_7 ),
    inference(resolution,[],[f129,f34]) ).

fof(f133,plain,
    ( greater(sK4,sK5)
    | ~ spl10_1
    | ~ spl10_7 ),
    inference(resolution,[],[f130,f35]) ).

fof(f136,plain,
    ( $false
    | ~ spl10_1
    | ~ spl10_7 ),
    inference(forward_subsumption_resolution,[],[f133,f39]) ).

fof(f137,plain,
    ( ~ spl10_1
    | ~ spl10_7 ),
    inference(avatar_contradiction_clause,[],[f136]) ).

fof(f138,plain,
    ( ~ organization(sK3,sK7)
    | ~ spl10_5 ),
    inference(resolution,[],[f68,f24]) ).

fof(f139,plain,
    ( $false
    | ~ spl10_5 ),
    inference(forward_subsumption_resolution,[],[f138,f37]) ).

fof(f140,plain,
    ~ spl10_5,
    inference(avatar_contradiction_clause,[],[f139]) ).

cnf(s1,plain,
    ( spl10_1
    | spl10_2
    | spl10_3
    | spl10_4 ),
    inference(sat_conversion,[],[f58]) ).

cnf(s2,plain,
    ~ spl10_2,
    inference(sat_conversion,[],[f63]) ).

cnf(s3,plain,
    ( spl10_4
    | spl10_5
    | spl10_6
    | spl10_7 ),
    inference(sat_conversion,[],[f75]) ).

cnf(s4,plain,
    ~ spl10_3,
    inference(sat_conversion,[],[f78]) ).

cnf(s5,plain,
    ~ spl10_4,
    inference(sat_conversion,[],[f82]) ).

cnf(s6,plain,
    ~ spl10_6,
    inference(sat_conversion,[],[f86]) ).

cnf(s8,plain,
    ( ~ spl10_1
    | ~ spl10_7 ),
    inference(sat_conversion,[],[f137]) ).

cnf(s9,plain,
    ~ spl10_5,
    inference(sat_conversion,[],[f140]) ).

cnf(s10,plain,
    spl10_7,
    inference(rat,[],[s3,s6,s9,s5]) ).

cnf(s11,plain,
    ~ spl10_1,
    inference(rat,[],[s8,s10]) ).

cnf(s12,plain,
    $false,
    inference(rat,[],[s1,s5,s4,s2,s11]) ).

fof(f141,plain,
    $false,
    inference(avatar_sat_refutation,[],[s12]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : MGT007+1 : TPTP v9.3.1. Released v2.0.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.36  % Computer : n004.cluster.edu
% 0.10/0.36  % Model    : x86_64 x86_64
% 0.10/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36  % Memory   : 8046.5625MB
% 0.10/0.36  % OS       : Linux 6.8.0-71-generic
% 0.10/0.36  % CPULimit : 300
% 0.10/0.36  % WCLimit  : 300
% 0.10/0.36  % DateTime : Sun Sep 27 17:15:52 UTC 2026
% 0.10/0.36  % CPUTime  : 
% 0.10/0.36  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.40  Running first-order theorem proving
% 0.10/0.40  Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.96/1.11  % (3766798)Detected formulas, will run a generic FOF schedule.
% 1.96/1.11  % (3766808)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=22766612:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 1.96/1.11  % (3766808)First to succeed.
% 1.96/1.11  % (3766808)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3766798"
% 1.96/1.11  % (3766807)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=289257718:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 1.96/1.11  % (3766805)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=1422153255:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 1.96/1.11  % (3766806)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1759977684:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 1.96/1.11  % (3766804)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=4218292741:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 1.96/1.11  % (3766803)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=2180231330:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 1.96/1.11  % (3766806)Also succeeded, but the first one will report.
% 1.96/1.11  % (3766809)dis-21_1_sil=8000:lcm=predicate:random_seed=3683307197: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)
% 1.96/1.11  % (3766809)Also succeeded, but the first one will report.
% 1.96/1.11  % (3766807)Also succeeded, but the first one will report.
% 1.96/1.11  % (3766808)Refutation found. Thanks to Tanya!
% 1.96/1.11  % SZS status Theorem for theBenchmark
% 1.96/1.11  % SZS output start Proof for theBenchmark
% See solution above
% 2.60/1.30  % (3766808)------------------------------
% 2.60/1.30  % (3766808)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.60/1.30  % (3766808)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.60/1.30  % (3766808)CaDiCaL version: 2.1.3
% 2.60/1.30  % (3766808)Termination reason: Refutation
% 2.60/1.30  % (3766808)Time elapsed: 0.005 s
% 2.60/1.30  % (3766808)Peak memory usage: 89 MB
% 2.60/1.30  % (3766808)Instructions burned: 12 (million)
% 2.60/1.30  % (3766808)------------------------------
% 2.60/1.30  % (3766808)------------------------------
% 2.60/1.30  % (3766798)Success in time 0.273 s
% 2.60/1.30  % Vampire exiting
%------------------------------------------------------------------------------