TSTP Solution File: CSR158+1 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : CSR158+1 : TPTP v8.2.0. Released v7.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s

% Computer : n020.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 May 20 19:46:26 EDT 2024

% Result   : Theorem 34.47s 5.57s
% Output   : Refutation 34.47s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   34 (   9 unt;   0 def)
%            Number of atoms       :  399 (   8 equ)
%            Maximal formula atoms :   80 (  11 avg)
%            Number of connectives :  500 ( 135   ~; 127   |; 212   &)
%                                         (  22 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   26 (   8 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :   19 (  17 usr;   1 prp; 0-7 aty)
%            Number of functors    :    6 (   6 usr;   5 con; 0-2 aty)
%            Number of variables   :  243 ( 234   !;   9   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f43758,plain,
    $false,
    inference(resolution,[],[f43747,f28661]) ).

fof(f28661,plain,
    p__d__instance(sK179,c__NaturalLanguage),
    inference(forward_demodulation,[],[f17526,f17527]) ).

fof(f17527,plain,
    sK179 = sK180,
    inference(cnf_transformation,[],[f14685]) ).

fof(f14685,plain,
    ( sK179 = sK180
    & p__d__instance(sK180,c__NaturalLanguage)
    & p__d__instance(sK179,c__ConstructedLanguage) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK179,sK180])],[f10211,f14684]) ).

fof(f14684,plain,
    ( ? [X0,X1] :
        ( X0 = X1
        & p__d__instance(X1,c__NaturalLanguage)
        & p__d__instance(X0,c__ConstructedLanguage) )
   => ( sK179 = sK180
      & p__d__instance(sK180,c__NaturalLanguage)
      & p__d__instance(sK179,c__ConstructedLanguage) ) ),
    introduced(choice_axiom,[]) ).

fof(f10211,plain,
    ? [X0,X1] :
      ( X0 = X1
      & p__d__instance(X1,c__NaturalLanguage)
      & p__d__instance(X0,c__ConstructedLanguage) ),
    inference(flattening,[],[f10210]) ).

fof(f10210,plain,
    ? [X0,X1] :
      ( X0 = X1
      & p__d__instance(X1,c__NaturalLanguage)
      & p__d__instance(X0,c__ConstructedLanguage) ),
    inference(ennf_transformation,[],[f7434]) ).

fof(f7434,negated_conjecture,
    ~ ! [X0,X1] :
        ( ( p__d__instance(X1,c__NaturalLanguage)
          & p__d__instance(X0,c__ConstructedLanguage) )
       => X0 != X1 ),
    inference(negated_conjecture,[],[f7433]) ).

fof(f7433,conjecture,
    ! [X0,X1] :
      ( ( p__d__instance(X1,c__NaturalLanguage)
        & p__d__instance(X0,c__ConstructedLanguage) )
     => X0 != X1 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',antonymPattern10010) ).

fof(f17526,plain,
    p__d__instance(sK180,c__NaturalLanguage),
    inference(cnf_transformation,[],[f14685]) ).

fof(f43747,plain,
    ~ p__d__instance(sK179,c__NaturalLanguage),
    inference(resolution,[],[f37617,f17525]) ).

fof(f17525,plain,
    p__d__instance(sK179,c__ConstructedLanguage),
    inference(cnf_transformation,[],[f14685]) ).

fof(f37617,plain,
    ! [X0] :
      ( ~ p__d__instance(X0,c__ConstructedLanguage)
      | ~ p__d__instance(X0,c__NaturalLanguage) ),
    inference(resolution,[],[f27503,f28952]) ).

fof(f28952,plain,
    p__d__disjoint(c__NaturalLanguage,c__ConstructedLanguage),
    inference(resolution,[],[f28941,f22110]) ).

fof(f22110,plain,
    p__d__partition3(c__HumanLanguage,c__NaturalLanguage,c__ConstructedLanguage),
    inference(cnf_transformation,[],[f212]) ).

fof(f212,axiom,
    p__d__partition3(c__HumanLanguage,c__NaturalLanguage,c__ConstructedLanguage),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mergeA299) ).

fof(f28941,plain,
    ! [X2,X0,X1] :
      ( ~ p__d__partition3(X0,X1,X2)
      | p__d__disjoint(X1,X2) ),
    inference(resolution,[],[f22329,f22288]) ).

fof(f22288,plain,
    ! [X24,X22,X23] :
      ( ~ p__d__disjointDecomposition3(X22,X23,X24)
      | p__d__disjoint(X23,X24) ),
    inference(cnf_transformation,[],[f14770]) ).

fof(f14770,plain,
    ( ! [X0,X1,X2,X3,X4,X5,X6] :
        ( ( p__d__disjointDecomposition7(X0,X1,X2,X3,X4,X5,X6)
          | ~ p__d__disjoint(X5,X6)
          | ~ p__d__disjoint(X4,X6)
          | ~ p__d__disjoint(X4,X5)
          | ~ p__d__disjoint(X3,X6)
          | ~ p__d__disjoint(X3,X5)
          | ~ p__d__disjoint(X3,X4)
          | ~ p__d__disjoint(X2,X6)
          | ~ p__d__disjoint(X2,X5)
          | ~ p__d__disjoint(X2,X4)
          | ~ p__d__disjoint(X2,X3)
          | ~ p__d__disjoint(X1,X6)
          | ~ p__d__disjoint(X1,X5)
          | ~ p__d__disjoint(X1,X4)
          | ~ p__d__disjoint(X1,X3)
          | ~ p__d__disjoint(X1,X2) )
        & ( ( p__d__disjoint(X5,X6)
            & p__d__disjoint(X4,X6)
            & p__d__disjoint(X4,X5)
            & p__d__disjoint(X3,X6)
            & p__d__disjoint(X3,X5)
            & p__d__disjoint(X3,X4)
            & p__d__disjoint(X2,X6)
            & p__d__disjoint(X2,X5)
            & p__d__disjoint(X2,X4)
            & p__d__disjoint(X2,X3)
            & p__d__disjoint(X1,X6)
            & p__d__disjoint(X1,X5)
            & p__d__disjoint(X1,X4)
            & p__d__disjoint(X1,X3)
            & p__d__disjoint(X1,X2) )
          | ~ p__d__disjointDecomposition7(X0,X1,X2,X3,X4,X5,X6) ) )
    & ! [X7,X8,X9,X10,X11,X12] :
        ( ( p__d__disjointDecomposition6(X7,X8,X9,X10,X11,X12)
          | ~ p__d__disjoint(X11,X12)
          | ~ p__d__disjoint(X10,X12)
          | ~ p__d__disjoint(X10,X11)
          | ~ p__d__disjoint(X9,X12)
          | ~ p__d__disjoint(X9,X11)
          | ~ p__d__disjoint(X9,X10)
          | ~ p__d__disjoint(X8,X12)
          | ~ p__d__disjoint(X8,X11)
          | ~ p__d__disjoint(X8,X10)
          | ~ p__d__disjoint(X8,X9) )
        & ( ( p__d__disjoint(X11,X12)
            & p__d__disjoint(X10,X12)
            & p__d__disjoint(X10,X11)
            & p__d__disjoint(X9,X12)
            & p__d__disjoint(X9,X11)
            & p__d__disjoint(X9,X10)
            & p__d__disjoint(X8,X12)
            & p__d__disjoint(X8,X11)
            & p__d__disjoint(X8,X10)
            & p__d__disjoint(X8,X9) )
          | ~ p__d__disjointDecomposition6(X7,X8,X9,X10,X11,X12) ) )
    & ! [X13,X14,X15,X16,X17] :
        ( ( p__d__disjointDecomposition5(X13,X14,X15,X16,X17)
          | ~ p__d__disjoint(X16,X17)
          | ~ p__d__disjoint(X15,X17)
          | ~ p__d__disjoint(X15,X16)
          | ~ p__d__disjoint(X14,X17)
          | ~ p__d__disjoint(X14,X16)
          | ~ p__d__disjoint(X14,X15) )
        & ( ( p__d__disjoint(X16,X17)
            & p__d__disjoint(X15,X17)
            & p__d__disjoint(X15,X16)
            & p__d__disjoint(X14,X17)
            & p__d__disjoint(X14,X16)
            & p__d__disjoint(X14,X15) )
          | ~ p__d__disjointDecomposition5(X13,X14,X15,X16,X17) ) )
    & ! [X18,X19,X20,X21] :
        ( ( p__d__disjointDecomposition4(X18,X19,X20,X21)
          | ~ p__d__disjoint(X20,X21)
          | ~ p__d__disjoint(X19,X21)
          | ~ p__d__disjoint(X19,X20) )
        & ( ( p__d__disjoint(X20,X21)
            & p__d__disjoint(X19,X21)
            & p__d__disjoint(X19,X20) )
          | ~ p__d__disjointDecomposition4(X18,X19,X20,X21) ) )
    & ! [X22,X23,X24] :
        ( ( p__d__disjointDecomposition3(X22,X23,X24)
          | ~ p__d__disjoint(X23,X24) )
        & ( p__d__disjoint(X23,X24)
          | ~ p__d__disjointDecomposition3(X22,X23,X24) ) ) ),
    inference(flattening,[],[f14769]) ).

fof(f14769,plain,
    ( ! [X0,X1,X2,X3,X4,X5,X6] :
        ( ( p__d__disjointDecomposition7(X0,X1,X2,X3,X4,X5,X6)
          | ~ p__d__disjoint(X5,X6)
          | ~ p__d__disjoint(X4,X6)
          | ~ p__d__disjoint(X4,X5)
          | ~ p__d__disjoint(X3,X6)
          | ~ p__d__disjoint(X3,X5)
          | ~ p__d__disjoint(X3,X4)
          | ~ p__d__disjoint(X2,X6)
          | ~ p__d__disjoint(X2,X5)
          | ~ p__d__disjoint(X2,X4)
          | ~ p__d__disjoint(X2,X3)
          | ~ p__d__disjoint(X1,X6)
          | ~ p__d__disjoint(X1,X5)
          | ~ p__d__disjoint(X1,X4)
          | ~ p__d__disjoint(X1,X3)
          | ~ p__d__disjoint(X1,X2) )
        & ( ( p__d__disjoint(X5,X6)
            & p__d__disjoint(X4,X6)
            & p__d__disjoint(X4,X5)
            & p__d__disjoint(X3,X6)
            & p__d__disjoint(X3,X5)
            & p__d__disjoint(X3,X4)
            & p__d__disjoint(X2,X6)
            & p__d__disjoint(X2,X5)
            & p__d__disjoint(X2,X4)
            & p__d__disjoint(X2,X3)
            & p__d__disjoint(X1,X6)
            & p__d__disjoint(X1,X5)
            & p__d__disjoint(X1,X4)
            & p__d__disjoint(X1,X3)
            & p__d__disjoint(X1,X2) )
          | ~ p__d__disjointDecomposition7(X0,X1,X2,X3,X4,X5,X6) ) )
    & ! [X7,X8,X9,X10,X11,X12] :
        ( ( p__d__disjointDecomposition6(X7,X8,X9,X10,X11,X12)
          | ~ p__d__disjoint(X11,X12)
          | ~ p__d__disjoint(X10,X12)
          | ~ p__d__disjoint(X10,X11)
          | ~ p__d__disjoint(X9,X12)
          | ~ p__d__disjoint(X9,X11)
          | ~ p__d__disjoint(X9,X10)
          | ~ p__d__disjoint(X8,X12)
          | ~ p__d__disjoint(X8,X11)
          | ~ p__d__disjoint(X8,X10)
          | ~ p__d__disjoint(X8,X9) )
        & ( ( p__d__disjoint(X11,X12)
            & p__d__disjoint(X10,X12)
            & p__d__disjoint(X10,X11)
            & p__d__disjoint(X9,X12)
            & p__d__disjoint(X9,X11)
            & p__d__disjoint(X9,X10)
            & p__d__disjoint(X8,X12)
            & p__d__disjoint(X8,X11)
            & p__d__disjoint(X8,X10)
            & p__d__disjoint(X8,X9) )
          | ~ p__d__disjointDecomposition6(X7,X8,X9,X10,X11,X12) ) )
    & ! [X13,X14,X15,X16,X17] :
        ( ( p__d__disjointDecomposition5(X13,X14,X15,X16,X17)
          | ~ p__d__disjoint(X16,X17)
          | ~ p__d__disjoint(X15,X17)
          | ~ p__d__disjoint(X15,X16)
          | ~ p__d__disjoint(X14,X17)
          | ~ p__d__disjoint(X14,X16)
          | ~ p__d__disjoint(X14,X15) )
        & ( ( p__d__disjoint(X16,X17)
            & p__d__disjoint(X15,X17)
            & p__d__disjoint(X15,X16)
            & p__d__disjoint(X14,X17)
            & p__d__disjoint(X14,X16)
            & p__d__disjoint(X14,X15) )
          | ~ p__d__disjointDecomposition5(X13,X14,X15,X16,X17) ) )
    & ! [X18,X19,X20,X21] :
        ( ( p__d__disjointDecomposition4(X18,X19,X20,X21)
          | ~ p__d__disjoint(X20,X21)
          | ~ p__d__disjoint(X19,X21)
          | ~ p__d__disjoint(X19,X20) )
        & ( ( p__d__disjoint(X20,X21)
            & p__d__disjoint(X19,X21)
            & p__d__disjoint(X19,X20) )
          | ~ p__d__disjointDecomposition4(X18,X19,X20,X21) ) )
    & ! [X22,X23,X24] :
        ( ( p__d__disjointDecomposition3(X22,X23,X24)
          | ~ p__d__disjoint(X23,X24) )
        & ( p__d__disjoint(X23,X24)
          | ~ p__d__disjointDecomposition3(X22,X23,X24) ) ) ),
    inference(nnf_transformation,[],[f7438]) ).

fof(f7438,plain,
    ( ! [X0,X1,X2,X3,X4,X5,X6] :
        ( p__d__disjointDecomposition7(X0,X1,X2,X3,X4,X5,X6)
      <=> ( p__d__disjoint(X5,X6)
          & p__d__disjoint(X4,X6)
          & p__d__disjoint(X4,X5)
          & p__d__disjoint(X3,X6)
          & p__d__disjoint(X3,X5)
          & p__d__disjoint(X3,X4)
          & p__d__disjoint(X2,X6)
          & p__d__disjoint(X2,X5)
          & p__d__disjoint(X2,X4)
          & p__d__disjoint(X2,X3)
          & p__d__disjoint(X1,X6)
          & p__d__disjoint(X1,X5)
          & p__d__disjoint(X1,X4)
          & p__d__disjoint(X1,X3)
          & p__d__disjoint(X1,X2) ) )
    & ! [X7,X8,X9,X10,X11,X12] :
        ( p__d__disjointDecomposition6(X7,X8,X9,X10,X11,X12)
      <=> ( p__d__disjoint(X11,X12)
          & p__d__disjoint(X10,X12)
          & p__d__disjoint(X10,X11)
          & p__d__disjoint(X9,X12)
          & p__d__disjoint(X9,X11)
          & p__d__disjoint(X9,X10)
          & p__d__disjoint(X8,X12)
          & p__d__disjoint(X8,X11)
          & p__d__disjoint(X8,X10)
          & p__d__disjoint(X8,X9) ) )
    & ! [X13,X14,X15,X16,X17] :
        ( p__d__disjointDecomposition5(X13,X14,X15,X16,X17)
      <=> ( p__d__disjoint(X16,X17)
          & p__d__disjoint(X15,X17)
          & p__d__disjoint(X15,X16)
          & p__d__disjoint(X14,X17)
          & p__d__disjoint(X14,X16)
          & p__d__disjoint(X14,X15) ) )
    & ! [X18,X19,X20,X21] :
        ( p__d__disjointDecomposition4(X18,X19,X20,X21)
      <=> ( p__d__disjoint(X20,X21)
          & p__d__disjoint(X19,X21)
          & p__d__disjoint(X19,X20) ) )
    & ! [X22,X23,X24] :
        ( p__d__disjointDecomposition3(X22,X23,X24)
      <=> p__d__disjoint(X23,X24) ) ),
    inference(rectify,[],[f8]) ).

fof(f8,axiom,
    ( ! [X6,X7,X8,X9,X10,X11,X12] :
        ( p__d__disjointDecomposition7(X6,X7,X8,X9,X10,X11,X12)
      <=> ( p__d__disjoint(X11,X12)
          & p__d__disjoint(X10,X12)
          & p__d__disjoint(X10,X11)
          & p__d__disjoint(X9,X12)
          & p__d__disjoint(X9,X11)
          & p__d__disjoint(X9,X10)
          & p__d__disjoint(X8,X12)
          & p__d__disjoint(X8,X11)
          & p__d__disjoint(X8,X10)
          & p__d__disjoint(X8,X9)
          & p__d__disjoint(X7,X12)
          & p__d__disjoint(X7,X11)
          & p__d__disjoint(X7,X10)
          & p__d__disjoint(X7,X9)
          & p__d__disjoint(X7,X8) ) )
    & ! [X6,X7,X8,X9,X10,X11] :
        ( p__d__disjointDecomposition6(X6,X7,X8,X9,X10,X11)
      <=> ( p__d__disjoint(X10,X11)
          & p__d__disjoint(X9,X11)
          & p__d__disjoint(X9,X10)
          & p__d__disjoint(X8,X11)
          & p__d__disjoint(X8,X10)
          & p__d__disjoint(X8,X9)
          & p__d__disjoint(X7,X11)
          & p__d__disjoint(X7,X10)
          & p__d__disjoint(X7,X9)
          & p__d__disjoint(X7,X8) ) )
    & ! [X6,X7,X8,X9,X10] :
        ( p__d__disjointDecomposition5(X6,X7,X8,X9,X10)
      <=> ( p__d__disjoint(X9,X10)
          & p__d__disjoint(X8,X10)
          & p__d__disjoint(X8,X9)
          & p__d__disjoint(X7,X10)
          & p__d__disjoint(X7,X9)
          & p__d__disjoint(X7,X8) ) )
    & ! [X6,X7,X8,X9] :
        ( p__d__disjointDecomposition4(X6,X7,X8,X9)
      <=> ( p__d__disjoint(X8,X9)
          & p__d__disjoint(X7,X9)
          & p__d__disjoint(X7,X8) ) )
    & ! [X6,X7,X8] :
        ( p__d__disjointDecomposition3(X6,X7,X8)
      <=> p__d__disjoint(X7,X8) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',predefinitionsA24) ).

fof(f22329,plain,
    ! [X24,X22,X23] :
      ( p__d__disjointDecomposition3(X22,X23,X24)
      | ~ p__d__partition3(X22,X23,X24) ),
    inference(cnf_transformation,[],[f14772]) ).

fof(f14772,plain,
    ( ! [X0,X1,X2,X3,X4,X5,X6] :
        ( ( p__d__partition7(X0,X1,X2,X3,X4,X5,X6)
          | ~ p__d__disjointDecomposition7(X0,X1,X2,X3,X4,X5,X6)
          | ~ p__d__exhaustiveDecomposition7(X0,X1,X2,X3,X4,X5,X6) )
        & ( ( p__d__disjointDecomposition7(X0,X1,X2,X3,X4,X5,X6)
            & p__d__exhaustiveDecomposition7(X0,X1,X2,X3,X4,X5,X6) )
          | ~ p__d__partition7(X0,X1,X2,X3,X4,X5,X6) ) )
    & ! [X7,X8,X9,X10,X11,X12] :
        ( ( p__d__partition6(X7,X8,X9,X10,X11,X12)
          | ~ p__d__disjointDecomposition6(X7,X8,X9,X10,X11,X12)
          | ~ p__d__exhaustiveDecomposition6(X7,X8,X9,X10,X11,X12) )
        & ( ( p__d__disjointDecomposition6(X7,X8,X9,X10,X11,X12)
            & p__d__exhaustiveDecomposition6(X7,X8,X9,X10,X11,X12) )
          | ~ p__d__partition6(X7,X8,X9,X10,X11,X12) ) )
    & ! [X13,X14,X15,X16,X17] :
        ( ( p__d__partition5(X13,X14,X15,X16,X17)
          | ~ p__d__disjointDecomposition5(X13,X14,X15,X16,X17)
          | ~ p__d__exhaustiveDecomposition5(X13,X14,X15,X16,X17) )
        & ( ( p__d__disjointDecomposition5(X13,X14,X15,X16,X17)
            & p__d__exhaustiveDecomposition5(X13,X14,X15,X16,X17) )
          | ~ p__d__partition5(X13,X14,X15,X16,X17) ) )
    & ! [X18,X19,X20,X21] :
        ( ( p__d__partition4(X18,X19,X20,X21)
          | ~ p__d__disjointDecomposition4(X18,X19,X20,X21)
          | ~ p__d__exhaustiveDecomposition4(X18,X19,X20,X21) )
        & ( ( p__d__disjointDecomposition4(X18,X19,X20,X21)
            & p__d__exhaustiveDecomposition4(X18,X19,X20,X21) )
          | ~ p__d__partition4(X18,X19,X20,X21) ) )
    & ! [X22,X23,X24] :
        ( ( p__d__partition3(X22,X23,X24)
          | ~ p__d__disjointDecomposition3(X22,X23,X24)
          | ~ p__d__exhaustiveDecomposition3(X22,X23,X24) )
        & ( ( p__d__disjointDecomposition3(X22,X23,X24)
            & p__d__exhaustiveDecomposition3(X22,X23,X24) )
          | ~ p__d__partition3(X22,X23,X24) ) ) ),
    inference(flattening,[],[f14771]) ).

fof(f14771,plain,
    ( ! [X0,X1,X2,X3,X4,X5,X6] :
        ( ( p__d__partition7(X0,X1,X2,X3,X4,X5,X6)
          | ~ p__d__disjointDecomposition7(X0,X1,X2,X3,X4,X5,X6)
          | ~ p__d__exhaustiveDecomposition7(X0,X1,X2,X3,X4,X5,X6) )
        & ( ( p__d__disjointDecomposition7(X0,X1,X2,X3,X4,X5,X6)
            & p__d__exhaustiveDecomposition7(X0,X1,X2,X3,X4,X5,X6) )
          | ~ p__d__partition7(X0,X1,X2,X3,X4,X5,X6) ) )
    & ! [X7,X8,X9,X10,X11,X12] :
        ( ( p__d__partition6(X7,X8,X9,X10,X11,X12)
          | ~ p__d__disjointDecomposition6(X7,X8,X9,X10,X11,X12)
          | ~ p__d__exhaustiveDecomposition6(X7,X8,X9,X10,X11,X12) )
        & ( ( p__d__disjointDecomposition6(X7,X8,X9,X10,X11,X12)
            & p__d__exhaustiveDecomposition6(X7,X8,X9,X10,X11,X12) )
          | ~ p__d__partition6(X7,X8,X9,X10,X11,X12) ) )
    & ! [X13,X14,X15,X16,X17] :
        ( ( p__d__partition5(X13,X14,X15,X16,X17)
          | ~ p__d__disjointDecomposition5(X13,X14,X15,X16,X17)
          | ~ p__d__exhaustiveDecomposition5(X13,X14,X15,X16,X17) )
        & ( ( p__d__disjointDecomposition5(X13,X14,X15,X16,X17)
            & p__d__exhaustiveDecomposition5(X13,X14,X15,X16,X17) )
          | ~ p__d__partition5(X13,X14,X15,X16,X17) ) )
    & ! [X18,X19,X20,X21] :
        ( ( p__d__partition4(X18,X19,X20,X21)
          | ~ p__d__disjointDecomposition4(X18,X19,X20,X21)
          | ~ p__d__exhaustiveDecomposition4(X18,X19,X20,X21) )
        & ( ( p__d__disjointDecomposition4(X18,X19,X20,X21)
            & p__d__exhaustiveDecomposition4(X18,X19,X20,X21) )
          | ~ p__d__partition4(X18,X19,X20,X21) ) )
    & ! [X22,X23,X24] :
        ( ( p__d__partition3(X22,X23,X24)
          | ~ p__d__disjointDecomposition3(X22,X23,X24)
          | ~ p__d__exhaustiveDecomposition3(X22,X23,X24) )
        & ( ( p__d__disjointDecomposition3(X22,X23,X24)
            & p__d__exhaustiveDecomposition3(X22,X23,X24) )
          | ~ p__d__partition3(X22,X23,X24) ) ) ),
    inference(nnf_transformation,[],[f7439]) ).

fof(f7439,plain,
    ( ! [X0,X1,X2,X3,X4,X5,X6] :
        ( p__d__partition7(X0,X1,X2,X3,X4,X5,X6)
      <=> ( p__d__disjointDecomposition7(X0,X1,X2,X3,X4,X5,X6)
          & p__d__exhaustiveDecomposition7(X0,X1,X2,X3,X4,X5,X6) ) )
    & ! [X7,X8,X9,X10,X11,X12] :
        ( p__d__partition6(X7,X8,X9,X10,X11,X12)
      <=> ( p__d__disjointDecomposition6(X7,X8,X9,X10,X11,X12)
          & p__d__exhaustiveDecomposition6(X7,X8,X9,X10,X11,X12) ) )
    & ! [X13,X14,X15,X16,X17] :
        ( p__d__partition5(X13,X14,X15,X16,X17)
      <=> ( p__d__disjointDecomposition5(X13,X14,X15,X16,X17)
          & p__d__exhaustiveDecomposition5(X13,X14,X15,X16,X17) ) )
    & ! [X18,X19,X20,X21] :
        ( p__d__partition4(X18,X19,X20,X21)
      <=> ( p__d__disjointDecomposition4(X18,X19,X20,X21)
          & p__d__exhaustiveDecomposition4(X18,X19,X20,X21) ) )
    & ! [X22,X23,X24] :
        ( p__d__partition3(X22,X23,X24)
      <=> ( p__d__disjointDecomposition3(X22,X23,X24)
          & p__d__exhaustiveDecomposition3(X22,X23,X24) ) ) ),
    inference(rectify,[],[f6]) ).

fof(f6,axiom,
    ( ! [X6,X7,X8,X9,X10,X11,X12] :
        ( p__d__partition7(X6,X7,X8,X9,X10,X11,X12)
      <=> ( p__d__disjointDecomposition7(X6,X7,X8,X9,X10,X11,X12)
          & p__d__exhaustiveDecomposition7(X6,X7,X8,X9,X10,X11,X12) ) )
    & ! [X6,X7,X8,X9,X10,X11] :
        ( p__d__partition6(X6,X7,X8,X9,X10,X11)
      <=> ( p__d__disjointDecomposition6(X6,X7,X8,X9,X10,X11)
          & p__d__exhaustiveDecomposition6(X6,X7,X8,X9,X10,X11) ) )
    & ! [X6,X7,X8,X9,X10] :
        ( p__d__partition5(X6,X7,X8,X9,X10)
      <=> ( p__d__disjointDecomposition5(X6,X7,X8,X9,X10)
          & p__d__exhaustiveDecomposition5(X6,X7,X8,X9,X10) ) )
    & ! [X6,X7,X8,X9] :
        ( p__d__partition4(X6,X7,X8,X9)
      <=> ( p__d__disjointDecomposition4(X6,X7,X8,X9)
          & p__d__exhaustiveDecomposition4(X6,X7,X8,X9) ) )
    & ! [X6,X7,X8] :
        ( p__d__partition3(X6,X7,X8)
      <=> ( p__d__disjointDecomposition3(X6,X7,X8)
          & p__d__exhaustiveDecomposition3(X6,X7,X8) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',predefinitionsA18) ).

fof(f27503,plain,
    ! [X3,X0,X1] :
      ( ~ p__d__disjoint(X0,X1)
      | ~ p__d__instance(X3,X0)
      | ~ p__d__instance(X3,X1) ),
    inference(cnf_transformation,[],[f17222]) ).

fof(f17222,plain,
    ! [X0,X1] :
      ( ( p__d__disjoint(X0,X1)
        | ( p__d__instance(sK1327(X0,X1),X1)
          & p__d__instance(sK1327(X0,X1),X0) ) )
      & ( ! [X3] :
            ( ~ p__d__instance(X3,X1)
            | ~ p__d__instance(X3,X0) )
        | ~ p__d__disjoint(X0,X1) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK1327])],[f17220,f17221]) ).

fof(f17221,plain,
    ! [X0,X1] :
      ( ? [X2] :
          ( p__d__instance(X2,X1)
          & p__d__instance(X2,X0) )
     => ( p__d__instance(sK1327(X0,X1),X1)
        & p__d__instance(sK1327(X0,X1),X0) ) ),
    introduced(choice_axiom,[]) ).

fof(f17220,plain,
    ! [X0,X1] :
      ( ( p__d__disjoint(X0,X1)
        | ? [X2] :
            ( p__d__instance(X2,X1)
            & p__d__instance(X2,X0) ) )
      & ( ! [X3] :
            ( ~ p__d__instance(X3,X1)
            | ~ p__d__instance(X3,X0) )
        | ~ p__d__disjoint(X0,X1) ) ),
    inference(rectify,[],[f17219]) ).

fof(f17219,plain,
    ! [X0,X1] :
      ( ( p__d__disjoint(X0,X1)
        | ? [X2] :
            ( p__d__instance(X2,X1)
            & p__d__instance(X2,X0) ) )
      & ( ! [X2] :
            ( ~ p__d__instance(X2,X1)
            | ~ p__d__instance(X2,X0) )
        | ~ p__d__disjoint(X0,X1) ) ),
    inference(nnf_transformation,[],[f9699]) ).

fof(f9699,plain,
    ! [X0,X1] :
      ( p__d__disjoint(X0,X1)
    <=> ! [X2] :
          ( ~ p__d__instance(X2,X1)
          | ~ p__d__instance(X2,X0) ) ),
    inference(rectify,[],[f5]) ).

fof(f5,axiom,
    ! [X3,X4] :
      ( p__d__disjoint(X3,X4)
    <=> ! [X5] :
          ( ~ p__d__instance(X5,X4)
          | ~ p__d__instance(X5,X3) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',predefinitionsA15) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.13  % Problem    : CSR158+1 : TPTP v8.2.0. Released v7.3.0.
% 0.05/0.14  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.36  % Computer : n020.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit   : 300
% 0.14/0.36  % WCLimit    : 300
% 0.14/0.36  % DateTime   : Sun May 19 01:28:53 EDT 2024
% 0.14/0.36  % CPUTime    : 
% 0.14/0.36  % (11273)Running in auto input_syntax mode. Trying TPTP
% 0.51/0.68  % (11276)WARNING: value z3 for option sas not known
% 0.51/0.68  % (11275)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.51/0.68  % (11277)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.51/0.68  % (11274)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.51/0.68  % (11279)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.51/0.68  % (11278)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.51/0.68  % (11276)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.51/0.68  % (11280)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 6.12/1.51  TRYING [1]
% 7.26/1.65  TRYING [2]
% 16.11/2.94  TRYING [3]
% 34.47/5.56  % (11279)First to succeed.
% 34.47/5.56  % (11279)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-11273"
% 34.47/5.57  % (11279)Refutation found. Thanks to Tanya!
% 34.47/5.57  % SZS status Theorem for theBenchmark
% 34.47/5.57  % SZS output start Proof for theBenchmark
% See solution above
% 34.47/5.57  % (11279)------------------------------
% 34.47/5.57  % (11279)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 34.47/5.57  % (11279)Termination reason: Refutation
% 34.47/5.57  
% 34.47/5.57  % (11279)Memory used [KB]: 30002
% 34.47/5.57  % (11279)Time elapsed: 4.882 s
% 34.47/5.57  % (11279)Instructions burned: 7105 (million)
% 34.47/5.57  % (11273)Success in time 5.16 s
%------------------------------------------------------------------------------