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Vampire-SAT---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : CSR157+1 : TPTP v9.3.1. Released v7.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT

% Computer : n012.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Tue Sep 29 09:46:24 AM UTC 2026

% Result   : Theorem 8.92s 2.94s
% Output   : Refutation 8.92s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   31 (  10 unt;   0 def)
%            Number of atoms       :  385 (   6 equ)
%            Maximal formula atoms :   80 (  12 avg)
%            Number of connectives :  488 ( 134   ~; 125   |; 206   &)
%                                         (  21 <=>;   2  =>;   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   :  234 ( 228   !;   6   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f5,axiom,
    ! [X0,X1] :
      ( p__d__disjoint(X0,X1)
    <=> ! [X2] :
          ( ~ p__d__instance(X2,X0)
          | ~ p__d__instance(X2,X1) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/CSR006+0.ax',predefinitionsA15) ).

fof(f6,axiom,
    ( ! [X0,X1,X2] :
        ( p__d__partition3(X0,X1,X2)
      <=> ( p__d__exhaustiveDecomposition3(X0,X1,X2)
          & p__d__disjointDecomposition3(X0,X1,X2) ) )
    & ! [X0,X1,X2,X3] :
        ( p__d__partition4(X0,X1,X2,X3)
      <=> ( p__d__exhaustiveDecomposition4(X0,X1,X2,X3)
          & p__d__disjointDecomposition4(X0,X1,X2,X3) ) )
    & ! [X0,X1,X2,X3,X4] :
        ( p__d__partition5(X0,X1,X2,X3,X4)
      <=> ( p__d__exhaustiveDecomposition5(X0,X1,X2,X3,X4)
          & p__d__disjointDecomposition5(X0,X1,X2,X3,X4) ) )
    & ! [X0,X1,X2,X3,X4,X5] :
        ( p__d__partition6(X0,X1,X2,X3,X4,X5)
      <=> ( p__d__exhaustiveDecomposition6(X0,X1,X2,X3,X4,X5)
          & p__d__disjointDecomposition6(X0,X1,X2,X3,X4,X5) ) )
    & ! [X0,X1,X2,X3,X4,X5,X6] :
        ( p__d__partition7(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) ) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/CSR006+0.ax',predefinitionsA18) ).

fof(f8,axiom,
    ( ! [X0,X1,X2] :
        ( p__d__disjointDecomposition3(X0,X1,X2)
      <=> p__d__disjoint(X1,X2) )
    & ! [X0,X1,X2,X3] :
        ( p__d__disjointDecomposition4(X0,X1,X2,X3)
      <=> ( p__d__disjoint(X1,X2)
          & p__d__disjoint(X1,X3)
          & p__d__disjoint(X2,X3) ) )
    & ! [X0,X1,X2,X3,X4] :
        ( p__d__disjointDecomposition5(X0,X1,X2,X3,X4)
      <=> ( p__d__disjoint(X1,X2)
          & p__d__disjoint(X1,X3)
          & p__d__disjoint(X1,X4)
          & p__d__disjoint(X2,X3)
          & p__d__disjoint(X2,X4)
          & p__d__disjoint(X3,X4) ) )
    & ! [X0,X1,X2,X3,X4,X5] :
        ( p__d__disjointDecomposition6(X0,X1,X2,X3,X4,X5)
      <=> ( p__d__disjoint(X1,X2)
          & p__d__disjoint(X1,X3)
          & p__d__disjoint(X1,X4)
          & p__d__disjoint(X1,X5)
          & p__d__disjoint(X2,X3)
          & p__d__disjoint(X2,X4)
          & p__d__disjoint(X2,X5)
          & p__d__disjoint(X3,X4)
          & p__d__disjoint(X3,X5)
          & p__d__disjoint(X4,X5) ) )
    & ! [X0,X1,X2,X3,X4,X5,X6] :
        ( p__d__disjointDecomposition7(X0,X1,X2,X3,X4,X5,X6)
      <=> ( p__d__disjoint(X1,X2)
          & p__d__disjoint(X1,X3)
          & p__d__disjoint(X1,X4)
          & p__d__disjoint(X1,X5)
          & p__d__disjoint(X1,X6)
          & p__d__disjoint(X2,X3)
          & p__d__disjoint(X2,X4)
          & p__d__disjoint(X2,X5)
          & p__d__disjoint(X2,X6)
          & p__d__disjoint(X3,X4)
          & p__d__disjoint(X3,X5)
          & p__d__disjoint(X3,X6)
          & p__d__disjoint(X4,X5)
          & p__d__disjoint(X4,X6)
          & p__d__disjoint(X5,X6) ) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/CSR006+0.ax',predefinitionsA24) ).

fof(f1666,axiom,
    p__d__partition3(c__QuantityChange,c__Increasing,c__Decreasing),
    file('/export/starexec/sandbox2/benchmark/Axioms/CSR006+0.ax',mergeA2401) ).

fof(f7433,conjecture,
    ! [X0,X1] :
      ( ( p__d__instance(X0,c__Decreasing)
        & p__d__instance(X1,c__Increasing) )
     => X0 != X1 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',antonymPattern10002) ).

fof(f7434,negated_conjecture,
    ~ ! [X0,X1] :
        ( ( p__d__instance(X0,c__Decreasing)
          & p__d__instance(X1,c__Increasing) )
       => X0 != X1 ),
    inference(negated_conjecture,[status(cth)],[f7433]) ).

fof(f7435,plain,
    ( ! [X0,X1,X2] :
        ( p__d__partition3(X0,X1,X2)
      <=> ( p__d__exhaustiveDecomposition3(X0,X1,X2)
          & p__d__disjointDecomposition3(X0,X1,X2) ) )
    & ! [X3,X4,X5,X6] :
        ( p__d__partition4(X3,X4,X5,X6)
      <=> ( p__d__exhaustiveDecomposition4(X3,X4,X5,X6)
          & p__d__disjointDecomposition4(X3,X4,X5,X6) ) )
    & ! [X7,X8,X9,X10,X11] :
        ( p__d__partition5(X7,X8,X9,X10,X11)
      <=> ( p__d__exhaustiveDecomposition5(X7,X8,X9,X10,X11)
          & p__d__disjointDecomposition5(X7,X8,X9,X10,X11) ) )
    & ! [X12,X13,X14,X15,X16,X17] :
        ( p__d__partition6(X12,X13,X14,X15,X16,X17)
      <=> ( p__d__exhaustiveDecomposition6(X12,X13,X14,X15,X16,X17)
          & p__d__disjointDecomposition6(X12,X13,X14,X15,X16,X17) ) )
    & ! [X18,X19,X20,X21,X22,X23,X24] :
        ( p__d__partition7(X18,X19,X20,X21,X22,X23,X24)
      <=> ( p__d__exhaustiveDecomposition7(X18,X19,X20,X21,X22,X23,X24)
          & p__d__disjointDecomposition7(X18,X19,X20,X21,X22,X23,X24) ) ) ),
    inference(rectify,[],[f6]) ).

fof(f7437,plain,
    ( ! [X0,X1,X2] :
        ( p__d__disjointDecomposition3(X0,X1,X2)
      <=> p__d__disjoint(X1,X2) )
    & ! [X3,X4,X5,X6] :
        ( p__d__disjointDecomposition4(X3,X4,X5,X6)
      <=> ( p__d__disjoint(X4,X5)
          & p__d__disjoint(X4,X6)
          & p__d__disjoint(X5,X6) ) )
    & ! [X7,X8,X9,X10,X11] :
        ( p__d__disjointDecomposition5(X7,X8,X9,X10,X11)
      <=> ( p__d__disjoint(X8,X9)
          & p__d__disjoint(X8,X10)
          & p__d__disjoint(X8,X11)
          & p__d__disjoint(X9,X10)
          & p__d__disjoint(X9,X11)
          & p__d__disjoint(X10,X11) ) )
    & ! [X12,X13,X14,X15,X16,X17] :
        ( p__d__disjointDecomposition6(X12,X13,X14,X15,X16,X17)
      <=> ( p__d__disjoint(X13,X14)
          & p__d__disjoint(X13,X15)
          & p__d__disjoint(X13,X16)
          & p__d__disjoint(X13,X17)
          & p__d__disjoint(X14,X15)
          & p__d__disjoint(X14,X16)
          & p__d__disjoint(X14,X17)
          & p__d__disjoint(X15,X16)
          & p__d__disjoint(X15,X17)
          & p__d__disjoint(X16,X17) ) )
    & ! [X18,X19,X20,X21,X22,X23,X24] :
        ( p__d__disjointDecomposition7(X18,X19,X20,X21,X22,X23,X24)
      <=> ( p__d__disjoint(X19,X20)
          & p__d__disjoint(X19,X21)
          & p__d__disjoint(X19,X22)
          & p__d__disjoint(X19,X23)
          & p__d__disjoint(X19,X24)
          & p__d__disjoint(X20,X21)
          & p__d__disjoint(X20,X22)
          & p__d__disjoint(X20,X23)
          & p__d__disjoint(X20,X24)
          & p__d__disjoint(X21,X22)
          & p__d__disjoint(X21,X23)
          & p__d__disjoint(X21,X24)
          & p__d__disjoint(X22,X23)
          & p__d__disjoint(X22,X24)
          & p__d__disjoint(X23,X24) ) ) ),
    inference(rectify,[],[f8]) ).

fof(f11600,plain,
    ? [X0,X1] :
      ( X0 = X1
      & p__d__instance(X0,c__Decreasing)
      & p__d__instance(X1,c__Increasing) ),
    inference(ennf_transformation,[],[f7434]) ).

fof(f11601,plain,
    ? [X0,X1] :
      ( X0 = X1
      & p__d__instance(X0,c__Decreasing)
      & p__d__instance(X1,c__Increasing) ),
    inference(flattening,[],[f11600]) ).

fof(f11658,plain,
    ! [X0,X1] :
      ( ( p__d__disjoint(X0,X1)
        | ? [X2] :
            ( p__d__instance(X2,X0)
            & p__d__instance(X2,X1) ) )
      & ( ! [X2] :
            ( ~ p__d__instance(X2,X0)
            | ~ p__d__instance(X2,X1) )
        | ~ p__d__disjoint(X0,X1) ) ),
    inference(nnf_transformation,[],[f5]) ).

fof(f11659,plain,
    ! [X0,X1] :
      ( ( p__d__disjoint(X0,X1)
        | ? [X2] :
            ( p__d__instance(X2,X0)
            & p__d__instance(X2,X1) ) )
      & ( ! [X3] :
            ( ~ p__d__instance(X3,X0)
            | ~ p__d__instance(X3,X1) )
        | ~ p__d__disjoint(X0,X1) ) ),
    inference(rectify,[],[f11658]) ).

fof(f11660,plain,
    ! [X0,X1] :
      ( ( p__d__disjoint(X0,X1)
        | ( p__d__instance(sK36(X0,X1),X0)
          & p__d__instance(sK36(X0,X1),X1) ) )
      & ( ! [X3] :
            ( ~ p__d__instance(X3,X0)
            | ~ p__d__instance(X3,X1) )
        | ~ p__d__disjoint(X0,X1) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK36]),skolemize(X2,sK36(X0,X1))],[f11659]) ).

fof(f11661,plain,
    ( ! [X0,X1,X2] :
        ( ( p__d__partition3(X0,X1,X2)
          | ~ p__d__exhaustiveDecomposition3(X0,X1,X2)
          | ~ p__d__disjointDecomposition3(X0,X1,X2) )
        & ( ( p__d__exhaustiveDecomposition3(X0,X1,X2)
            & p__d__disjointDecomposition3(X0,X1,X2) )
          | ~ p__d__partition3(X0,X1,X2) ) )
    & ! [X3,X4,X5,X6] :
        ( ( p__d__partition4(X3,X4,X5,X6)
          | ~ p__d__exhaustiveDecomposition4(X3,X4,X5,X6)
          | ~ p__d__disjointDecomposition4(X3,X4,X5,X6) )
        & ( ( p__d__exhaustiveDecomposition4(X3,X4,X5,X6)
            & p__d__disjointDecomposition4(X3,X4,X5,X6) )
          | ~ p__d__partition4(X3,X4,X5,X6) ) )
    & ! [X7,X8,X9,X10,X11] :
        ( ( p__d__partition5(X7,X8,X9,X10,X11)
          | ~ p__d__exhaustiveDecomposition5(X7,X8,X9,X10,X11)
          | ~ p__d__disjointDecomposition5(X7,X8,X9,X10,X11) )
        & ( ( p__d__exhaustiveDecomposition5(X7,X8,X9,X10,X11)
            & p__d__disjointDecomposition5(X7,X8,X9,X10,X11) )
          | ~ p__d__partition5(X7,X8,X9,X10,X11) ) )
    & ! [X12,X13,X14,X15,X16,X17] :
        ( ( p__d__partition6(X12,X13,X14,X15,X16,X17)
          | ~ p__d__exhaustiveDecomposition6(X12,X13,X14,X15,X16,X17)
          | ~ p__d__disjointDecomposition6(X12,X13,X14,X15,X16,X17) )
        & ( ( p__d__exhaustiveDecomposition6(X12,X13,X14,X15,X16,X17)
            & p__d__disjointDecomposition6(X12,X13,X14,X15,X16,X17) )
          | ~ p__d__partition6(X12,X13,X14,X15,X16,X17) ) )
    & ! [X18,X19,X20,X21,X22,X23,X24] :
        ( ( p__d__partition7(X18,X19,X20,X21,X22,X23,X24)
          | ~ p__d__exhaustiveDecomposition7(X18,X19,X20,X21,X22,X23,X24)
          | ~ p__d__disjointDecomposition7(X18,X19,X20,X21,X22,X23,X24) )
        & ( ( p__d__exhaustiveDecomposition7(X18,X19,X20,X21,X22,X23,X24)
            & p__d__disjointDecomposition7(X18,X19,X20,X21,X22,X23,X24) )
          | ~ p__d__partition7(X18,X19,X20,X21,X22,X23,X24) ) ) ),
    inference(nnf_transformation,[],[f7435]) ).

fof(f11662,plain,
    ( ! [X0,X1,X2] :
        ( ( p__d__partition3(X0,X1,X2)
          | ~ p__d__exhaustiveDecomposition3(X0,X1,X2)
          | ~ p__d__disjointDecomposition3(X0,X1,X2) )
        & ( ( p__d__exhaustiveDecomposition3(X0,X1,X2)
            & p__d__disjointDecomposition3(X0,X1,X2) )
          | ~ p__d__partition3(X0,X1,X2) ) )
    & ! [X3,X4,X5,X6] :
        ( ( p__d__partition4(X3,X4,X5,X6)
          | ~ p__d__exhaustiveDecomposition4(X3,X4,X5,X6)
          | ~ p__d__disjointDecomposition4(X3,X4,X5,X6) )
        & ( ( p__d__exhaustiveDecomposition4(X3,X4,X5,X6)
            & p__d__disjointDecomposition4(X3,X4,X5,X6) )
          | ~ p__d__partition4(X3,X4,X5,X6) ) )
    & ! [X7,X8,X9,X10,X11] :
        ( ( p__d__partition5(X7,X8,X9,X10,X11)
          | ~ p__d__exhaustiveDecomposition5(X7,X8,X9,X10,X11)
          | ~ p__d__disjointDecomposition5(X7,X8,X9,X10,X11) )
        & ( ( p__d__exhaustiveDecomposition5(X7,X8,X9,X10,X11)
            & p__d__disjointDecomposition5(X7,X8,X9,X10,X11) )
          | ~ p__d__partition5(X7,X8,X9,X10,X11) ) )
    & ! [X12,X13,X14,X15,X16,X17] :
        ( ( p__d__partition6(X12,X13,X14,X15,X16,X17)
          | ~ p__d__exhaustiveDecomposition6(X12,X13,X14,X15,X16,X17)
          | ~ p__d__disjointDecomposition6(X12,X13,X14,X15,X16,X17) )
        & ( ( p__d__exhaustiveDecomposition6(X12,X13,X14,X15,X16,X17)
            & p__d__disjointDecomposition6(X12,X13,X14,X15,X16,X17) )
          | ~ p__d__partition6(X12,X13,X14,X15,X16,X17) ) )
    & ! [X18,X19,X20,X21,X22,X23,X24] :
        ( ( p__d__partition7(X18,X19,X20,X21,X22,X23,X24)
          | ~ p__d__exhaustiveDecomposition7(X18,X19,X20,X21,X22,X23,X24)
          | ~ p__d__disjointDecomposition7(X18,X19,X20,X21,X22,X23,X24) )
        & ( ( p__d__exhaustiveDecomposition7(X18,X19,X20,X21,X22,X23,X24)
            & p__d__disjointDecomposition7(X18,X19,X20,X21,X22,X23,X24) )
          | ~ p__d__partition7(X18,X19,X20,X21,X22,X23,X24) ) ) ),
    inference(flattening,[],[f11661]) ).

fof(f11666,plain,
    ( ! [X0,X1,X2] :
        ( ( p__d__disjointDecomposition3(X0,X1,X2)
          | ~ p__d__disjoint(X1,X2) )
        & ( p__d__disjoint(X1,X2)
          | ~ p__d__disjointDecomposition3(X0,X1,X2) ) )
    & ! [X3,X4,X5,X6] :
        ( ( p__d__disjointDecomposition4(X3,X4,X5,X6)
          | ~ p__d__disjoint(X4,X5)
          | ~ p__d__disjoint(X4,X6)
          | ~ p__d__disjoint(X5,X6) )
        & ( ( p__d__disjoint(X4,X5)
            & p__d__disjoint(X4,X6)
            & p__d__disjoint(X5,X6) )
          | ~ p__d__disjointDecomposition4(X3,X4,X5,X6) ) )
    & ! [X7,X8,X9,X10,X11] :
        ( ( p__d__disjointDecomposition5(X7,X8,X9,X10,X11)
          | ~ p__d__disjoint(X8,X9)
          | ~ p__d__disjoint(X8,X10)
          | ~ p__d__disjoint(X8,X11)
          | ~ p__d__disjoint(X9,X10)
          | ~ p__d__disjoint(X9,X11)
          | ~ p__d__disjoint(X10,X11) )
        & ( ( p__d__disjoint(X8,X9)
            & p__d__disjoint(X8,X10)
            & p__d__disjoint(X8,X11)
            & p__d__disjoint(X9,X10)
            & p__d__disjoint(X9,X11)
            & p__d__disjoint(X10,X11) )
          | ~ p__d__disjointDecomposition5(X7,X8,X9,X10,X11) ) )
    & ! [X12,X13,X14,X15,X16,X17] :
        ( ( p__d__disjointDecomposition6(X12,X13,X14,X15,X16,X17)
          | ~ p__d__disjoint(X13,X14)
          | ~ p__d__disjoint(X13,X15)
          | ~ p__d__disjoint(X13,X16)
          | ~ p__d__disjoint(X13,X17)
          | ~ p__d__disjoint(X14,X15)
          | ~ p__d__disjoint(X14,X16)
          | ~ p__d__disjoint(X14,X17)
          | ~ p__d__disjoint(X15,X16)
          | ~ p__d__disjoint(X15,X17)
          | ~ p__d__disjoint(X16,X17) )
        & ( ( p__d__disjoint(X13,X14)
            & p__d__disjoint(X13,X15)
            & p__d__disjoint(X13,X16)
            & p__d__disjoint(X13,X17)
            & p__d__disjoint(X14,X15)
            & p__d__disjoint(X14,X16)
            & p__d__disjoint(X14,X17)
            & p__d__disjoint(X15,X16)
            & p__d__disjoint(X15,X17)
            & p__d__disjoint(X16,X17) )
          | ~ p__d__disjointDecomposition6(X12,X13,X14,X15,X16,X17) ) )
    & ! [X18,X19,X20,X21,X22,X23,X24] :
        ( ( p__d__disjointDecomposition7(X18,X19,X20,X21,X22,X23,X24)
          | ~ p__d__disjoint(X19,X20)
          | ~ p__d__disjoint(X19,X21)
          | ~ p__d__disjoint(X19,X22)
          | ~ p__d__disjoint(X19,X23)
          | ~ p__d__disjoint(X19,X24)
          | ~ p__d__disjoint(X20,X21)
          | ~ p__d__disjoint(X20,X22)
          | ~ p__d__disjoint(X20,X23)
          | ~ p__d__disjoint(X20,X24)
          | ~ p__d__disjoint(X21,X22)
          | ~ p__d__disjoint(X21,X23)
          | ~ p__d__disjoint(X21,X24)
          | ~ p__d__disjoint(X22,X23)
          | ~ p__d__disjoint(X22,X24)
          | ~ p__d__disjoint(X23,X24) )
        & ( ( p__d__disjoint(X19,X20)
            & p__d__disjoint(X19,X21)
            & p__d__disjoint(X19,X22)
            & p__d__disjoint(X19,X23)
            & p__d__disjoint(X19,X24)
            & p__d__disjoint(X20,X21)
            & p__d__disjoint(X20,X22)
            & p__d__disjoint(X20,X23)
            & p__d__disjoint(X20,X24)
            & p__d__disjoint(X21,X22)
            & p__d__disjoint(X21,X23)
            & p__d__disjoint(X21,X24)
            & p__d__disjoint(X22,X23)
            & p__d__disjoint(X22,X24)
            & p__d__disjoint(X23,X24) )
          | ~ p__d__disjointDecomposition7(X18,X19,X20,X21,X22,X23,X24) ) ) ),
    inference(nnf_transformation,[],[f7437]) ).

fof(f11667,plain,
    ( ! [X0,X1,X2] :
        ( ( p__d__disjointDecomposition3(X0,X1,X2)
          | ~ p__d__disjoint(X1,X2) )
        & ( p__d__disjoint(X1,X2)
          | ~ p__d__disjointDecomposition3(X0,X1,X2) ) )
    & ! [X3,X4,X5,X6] :
        ( ( p__d__disjointDecomposition4(X3,X4,X5,X6)
          | ~ p__d__disjoint(X4,X5)
          | ~ p__d__disjoint(X4,X6)
          | ~ p__d__disjoint(X5,X6) )
        & ( ( p__d__disjoint(X4,X5)
            & p__d__disjoint(X4,X6)
            & p__d__disjoint(X5,X6) )
          | ~ p__d__disjointDecomposition4(X3,X4,X5,X6) ) )
    & ! [X7,X8,X9,X10,X11] :
        ( ( p__d__disjointDecomposition5(X7,X8,X9,X10,X11)
          | ~ p__d__disjoint(X8,X9)
          | ~ p__d__disjoint(X8,X10)
          | ~ p__d__disjoint(X8,X11)
          | ~ p__d__disjoint(X9,X10)
          | ~ p__d__disjoint(X9,X11)
          | ~ p__d__disjoint(X10,X11) )
        & ( ( p__d__disjoint(X8,X9)
            & p__d__disjoint(X8,X10)
            & p__d__disjoint(X8,X11)
            & p__d__disjoint(X9,X10)
            & p__d__disjoint(X9,X11)
            & p__d__disjoint(X10,X11) )
          | ~ p__d__disjointDecomposition5(X7,X8,X9,X10,X11) ) )
    & ! [X12,X13,X14,X15,X16,X17] :
        ( ( p__d__disjointDecomposition6(X12,X13,X14,X15,X16,X17)
          | ~ p__d__disjoint(X13,X14)
          | ~ p__d__disjoint(X13,X15)
          | ~ p__d__disjoint(X13,X16)
          | ~ p__d__disjoint(X13,X17)
          | ~ p__d__disjoint(X14,X15)
          | ~ p__d__disjoint(X14,X16)
          | ~ p__d__disjoint(X14,X17)
          | ~ p__d__disjoint(X15,X16)
          | ~ p__d__disjoint(X15,X17)
          | ~ p__d__disjoint(X16,X17) )
        & ( ( p__d__disjoint(X13,X14)
            & p__d__disjoint(X13,X15)
            & p__d__disjoint(X13,X16)
            & p__d__disjoint(X13,X17)
            & p__d__disjoint(X14,X15)
            & p__d__disjoint(X14,X16)
            & p__d__disjoint(X14,X17)
            & p__d__disjoint(X15,X16)
            & p__d__disjoint(X15,X17)
            & p__d__disjoint(X16,X17) )
          | ~ p__d__disjointDecomposition6(X12,X13,X14,X15,X16,X17) ) )
    & ! [X18,X19,X20,X21,X22,X23,X24] :
        ( ( p__d__disjointDecomposition7(X18,X19,X20,X21,X22,X23,X24)
          | ~ p__d__disjoint(X19,X20)
          | ~ p__d__disjoint(X19,X21)
          | ~ p__d__disjoint(X19,X22)
          | ~ p__d__disjoint(X19,X23)
          | ~ p__d__disjoint(X19,X24)
          | ~ p__d__disjoint(X20,X21)
          | ~ p__d__disjoint(X20,X22)
          | ~ p__d__disjoint(X20,X23)
          | ~ p__d__disjoint(X20,X24)
          | ~ p__d__disjoint(X21,X22)
          | ~ p__d__disjoint(X21,X23)
          | ~ p__d__disjoint(X21,X24)
          | ~ p__d__disjoint(X22,X23)
          | ~ p__d__disjoint(X22,X24)
          | ~ p__d__disjoint(X23,X24) )
        & ( ( p__d__disjoint(X19,X20)
            & p__d__disjoint(X19,X21)
            & p__d__disjoint(X19,X22)
            & p__d__disjoint(X19,X23)
            & p__d__disjoint(X19,X24)
            & p__d__disjoint(X20,X21)
            & p__d__disjoint(X20,X22)
            & p__d__disjoint(X20,X23)
            & p__d__disjoint(X20,X24)
            & p__d__disjoint(X21,X22)
            & p__d__disjoint(X21,X23)
            & p__d__disjoint(X21,X24)
            & p__d__disjoint(X22,X23)
            & p__d__disjoint(X22,X24)
            & p__d__disjoint(X23,X24) )
          | ~ p__d__disjointDecomposition7(X18,X19,X20,X21,X22,X23,X24) ) ) ),
    inference(flattening,[],[f11666]) ).

fof(f13400,plain,
    ( sK1263 = sK1264
    & p__d__instance(sK1263,c__Decreasing)
    & p__d__instance(sK1264,c__Increasing) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK1263,sK1264]),skolemize(X0,sK1263),skolemize(X1,sK1264)],[f11601]) ).

fof(f13405,plain,
    ! [X3,X0,X1] :
      ( ~ p__d__instance(X3,X0)
      | ~ p__d__instance(X3,X1)
      | ~ p__d__disjoint(X0,X1) ),
    inference(cnf_transformation,[],[f11660]) ).

fof(f13420,plain,
    ! [X2,X0,X1] :
      ( p__d__disjointDecomposition3(X0,X1,X2)
      | ~ p__d__partition3(X0,X1,X2) ),
    inference(cnf_transformation,[],[f11662]) ).

fof(f13491,plain,
    ! [X2,X0,X1] :
      ( p__d__disjoint(X1,X2)
      | ~ p__d__disjointDecomposition3(X0,X1,X2) ),
    inference(cnf_transformation,[],[f11667]) ).

fof(f15569,plain,
    p__d__partition3(c__QuantityChange,c__Increasing,c__Decreasing),
    inference(cnf_transformation,[],[f1666]) ).

fof(f24207,plain,
    p__d__instance(sK1264,c__Increasing),
    inference(cnf_transformation,[],[f13400]) ).

fof(f24208,plain,
    p__d__instance(sK1263,c__Decreasing),
    inference(cnf_transformation,[],[f13400]) ).

fof(f24209,plain,
    sK1263 = sK1264,
    inference(cnf_transformation,[],[f13400]) ).

fof(f24210,plain,
    p__d__instance(sK1264,c__Decreasing),
    inference(definition_unfolding,[],[f24208,f24209]) ).

fof(f31862,plain,
    ! [X0] :
      ( ~ p__d__instance(sK1264,X0)
      | ~ p__d__disjoint(c__Increasing,X0) ),
    inference(resolution,[],[f13405,f24207]) ).

fof(f35191,plain,
    ~ p__d__disjoint(c__Increasing,c__Decreasing),
    inference(resolution,[],[f31862,f24210]) ).

fof(f40743,plain,
    ! [X0] : ~ p__d__disjointDecomposition3(X0,c__Increasing,c__Decreasing),
    inference(resolution,[],[f35191,f13491]) ).

fof(f45613,plain,
    ! [X0] : ~ p__d__partition3(X0,c__Increasing,c__Decreasing),
    inference(resolution,[],[f40743,f13420]) ).

fof(f57741,plain,
    $false,
    inference(resolution,[],[f45613,f15569]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01  % Problem  : CSR157+1 : TPTP v9.3.1. Released v7.3.0.
% 0.00/0.03  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.00/0.10  % Computer : n012.cluster.edu
% 0.00/0.10  % Model    : x86_64 x86_64
% 0.00/0.10  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.00/0.10  % Memory   : 8046.5625MB
% 0.00/0.10  % OS       : Linux 6.8.0-71-generic
% 0.00/0.10  % CPULimit : 300
% 0.00/0.10  % WCLimit  : 300
% 0.00/0.10  % DateTime : Mon Sep 28 23:38:19 UTC 2026
% 0.00/0.10  % CPUTime  : 
% 0.00/0.10  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.08/0.11  Running first-order model finding
% 0.08/0.12  Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 7.91/1.44  % (3903324)Will run a generic schedule for satisfiability detection.
% 7.91/1.44  % (3903330)% WARNING: option uhcvi not known.
% 7.91/1.44  % (3903330)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1885090812:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 7.91/1.44  % (3903332)dis+10_1_sil=32000:sp=arity:random_seed=3480535193:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 7.91/1.44  % (3903329)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3188900897_2999 on theBenchmark for (2999ds/0Mi)
% 7.91/1.44  % (3903331)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1428580731:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 7.91/1.44  % (3903333)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2770336987:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 7.91/1.44  % (3903335)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2380552844:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 7.91/1.44  % (3903334)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3100698340:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 7.91/1.44  % (3903332)Instruction limit reached! 
% 7.91/1.44  % (3903332)------------------------------
% 7.91/1.44  % (3903332)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.91/1.44  % (3903332)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.91/1.44  % (3903332)CaDiCaL version: 2.1.3
% 7.91/1.44  % (3903332)Termination reason: Instruction limit
% 7.91/1.44  % (3903332)Termination phase: Clausification
% 7.91/1.44  % (3903332)Time elapsed: 0.037 s
% 7.91/1.44  % (3903332)Peak memory usage: 23 MB
% 7.91/1.44  % (3903332)Instructions burned: 105 (million)
% 7.91/1.44  % (3903333)Instruction limit reached! 
% 7.91/1.44  % (3903333)------------------------------
% 7.91/1.44  % (3903333)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.91/1.44  % (3903333)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.91/1.44  % (3903333)CaDiCaL version: 2.1.3
% 7.91/1.44  % (3903333)Termination reason: Instruction limit
% 7.91/1.44  % (3903333)Termination phase: NewCNF
% 7.91/1.44  % (3903333)Time elapsed: 0.038 s
% 7.91/1.44  % (3903333)Peak memory usage: 23 MB
% 7.91/1.44  % (3903333)Instructions burned: 119 (million)
% 7.91/1.44  % (3903334)Instruction limit reached! 
% 7.91/1.44  % (3903334)------------------------------
% 7.91/1.44  % (3903334)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.91/1.44  % (3903334)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.91/1.44  % (3903334)CaDiCaL version: 2.1.3
% 7.91/1.44  % (3903334)Termination reason: Instruction limit
% 7.91/1.44  % (3903334)Termination phase: Property scanning
% 7.91/1.44  % (3903334)Time elapsed: 0.049 s
% 7.91/1.44  % (3903334)Peak memory usage: 24 MB
% 7.91/1.44  % (3903334)Instructions burned: 133 (million)
% 7.91/1.44  % (3903343)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=3790948154:i=714:nm=2_2998 on theBenchmark for (2998ds/714Mi)
% 7.91/1.44  % (3903344)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=701501054:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 7.91/1.44  % (3903335)Instruction limit reached! 
% 7.91/1.44  % (3903335)------------------------------
% 7.91/1.44  % (3903335)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.91/1.44  % (3903335)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.91/1.44  % (3903335)CaDiCaL version: 2.1.3
% 7.91/1.44  % (3903335)Termination reason: Instruction limit
% 7.91/1.44  % (3903335)Termination phase: Property scanning
% 7.91/1.44  % (3903335)Time elapsed: 0.054 s
% 7.91/1.44  % (3903335)Peak memory usage: 24 MB
% 7.91/1.44  % (3903335)Instructions burned: 161 (million)
% 7.91/1.44  % (3903347)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=4073816569:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 7.91/1.44  % (3903348)ott-21_1_sil=16000:fs=off:random_seed=2562961036:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 7.91/1.44  % (3903344)Instruction limit reached! 
% 7.91/1.44  % (3903344)------------------------------
% 7.91/1.44  % (3903344)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.91/1.44  % (3903344)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.92/2.94  % (3903344)CaDiCaL version: 2.1.3
% 8.92/2.94  % (3903344)Termination reason: Instruction limit
% 8.92/2.94  % (3903344)Termination phase: Property scanning
% 8.92/2.94  % (3903344)Time elapsed: 0.049 s
% 8.92/2.94  % (3903344)Peak memory usage: 24 MB
% 8.92/2.94  % (3903344)Instructions burned: 132 (million)
% 8.92/2.94  % (3903351)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=916857725:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 8.92/2.94  % (3903348)Instruction limit reached! 
% 8.92/2.94  % (3903348)------------------------------
% 8.92/2.94  % (3903348)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.92/2.94  % (3903348)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.92/2.94  % (3903348)CaDiCaL version: 2.1.3
% 8.92/2.94  % (3903348)Termination reason: Instruction limit
% 8.92/2.94  % (3903348)Termination phase: Equality resolution with deletion
% 8.92/2.94  % (3903348)Time elapsed: 0.060 s
% 8.92/2.94  % (3903348)Peak memory usage: 24 MB
% 8.92/2.94  % (3903348)Instructions burned: 182 (million)
% 8.92/2.94  % (3903353)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=3802887991:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 8.92/2.94  % (3903343)Instruction limit reached! 
% 8.92/2.94  % (3903343)------------------------------
% 8.92/2.94  % (3903343)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.92/2.94  % (3903343)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.92/2.94  % (3903343)CaDiCaL version: 2.1.3
% 8.92/2.94  % (3903343)Termination reason: Instruction limit
% 8.92/2.94  % (3903343)Termination phase: Finite model building preprocessing
% 8.92/2.94  % (3903343)Time elapsed: 0.204 s
% 8.92/2.94  % (3903343)Peak memory usage: 36 MB
% 8.92/2.94  % (3903343)Instructions burned: 716 (million)
% 8.92/2.94  % (3903351)Instruction limit reached! 
% 8.92/2.94  % (3903351)------------------------------
% 8.92/2.94  % (3903351)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.92/2.94  % (3903351)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.92/2.94  % (3903351)CaDiCaL version: 2.1.3
% 8.92/2.94  % (3903351)Termination reason: Instruction limit
% 8.92/2.94  % (3903351)Termination phase: Saturation
% 8.92/2.94  % (3903351)Time elapsed: 0.142 s
% 8.92/2.94  % (3903351)Peak memory usage: 30 MB
% 8.92/2.94  % (3903351)Instructions burned: 479 (million)
% 8.92/2.94  % (3903347)Instruction limit reached! 
% 8.92/2.94  % (3903347)------------------------------
% 8.92/2.94  % (3903347)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.92/2.94  % (3903347)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.92/2.94  % (3903347)CaDiCaL version: 2.1.3
% 8.92/2.94  % (3903347)Termination reason: Instruction limit
% 8.92/2.94  % (3903347)Termination phase: Saturation
% 8.92/2.94  % (3903347)Time elapsed: 0.199 s
% 8.92/2.94  % (3903347)Peak memory usage: 31 MB
% 8.92/2.94  % (3903347)Instructions burned: 684 (million)
% 8.92/2.94  % (3903355)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=138310977:i=1179_2996 on theBenchmark for (2996ds/1179Mi)
% 8.92/2.94  % (3903356)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=3502201508:i=889:ins=1_2996 on theBenchmark for (2996ds/889Mi)
% 8.92/2.94  % (3903357)ott+1_16_sil=32000:plsq=on:plsqc=2:sas=cadical:avsql=on:sp=reverse_frequency:plsqr=128,1:bsr=unit_only:rp=on:newcnf=on:random_seed=3175281005:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2996 on theBenchmark for (2996ds/692Mi)
% 8.92/2.94  % TRYING [1]
% 8.92/2.94  % (3903353)Instruction limit reached! 
% 8.92/2.94  % (3903353)------------------------------
% 8.92/2.94  % (3903353)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.92/2.94  % (3903353)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.92/2.94  % (3903353)CaDiCaL version: 2.1.3
% 8.92/2.94  % (3903353)Termination reason: Instruction limit
% 8.92/2.94  % (3903353)Termination phase: Finite model building preprocessing
% 8.92/2.94  % (3903353)Time elapsed: 0.236 s
% 8.92/2.94  % (3903353)Peak memory usage: 37 MB
% 8.92/2.94  % (3903353)Instructions burned: 869 (million)
% 8.92/2.94  % TRYING [2]
% 8.92/2.94  % (3903361)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=154721583:i=879:kws=inv_precedence:fsr=off_2995 on theBenchmark for (2995ds/879Mi)
% 8.92/2.94  % (3903357)Instruction limit reached! 
% 8.92/2.94  % (3903357)------------------------------
% 8.92/2.94  % (3903357)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.92/2.94  % (3903357)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.92/2.94  % (3903357)CaDiCaL version: 2.1.3
% 8.92/2.94  % (3903357)Termination reason: Instruction limit
% 8.92/2.94  % (3903357)Termination phase: Saturation
% 8.92/2.94  % (3903357)Time elapsed: 0.213 s
% 8.92/2.94  % (3903357)Peak memory usage: 35 MB
% 8.92/2.94  % (3903357)Instructions burned: 693 (million)
% 8.92/2.94  % TRYING [3]
% 8.92/2.94  % (3903363)fmb+10_1_sil=64000:random_seed=679998888:i=22061:nm=2:gsp=on_2994 on theBenchmark for (2994ds/22061Mi)
% 8.92/2.94  % (3903356)Instruction limit reached! 
% 8.92/2.94  % (3903356)------------------------------
% 8.92/2.94  % (3903356)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.92/2.94  % (3903356)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.92/2.94  % (3903356)CaDiCaL version: 2.1.3
% 8.92/2.94  % (3903356)Termination reason: Instruction limit
% 8.92/2.94  % (3903356)Termination phase: Finite model building preprocessing
% 8.92/2.94  % (3903356)Time elapsed: 0.243 s
% 8.92/2.94  % (3903356)Peak memory usage: 38 MB
% 8.92/2.94  % (3903356)Instructions burned: 891 (million)
% 8.92/2.94  % (3903365)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=616639041:i=9515:nm=5_2994 on theBenchmark for (2994ds/9515Mi)
% 8.92/2.94  % (3903355)Instruction limit reached! 
% 8.92/2.94  % (3903355)------------------------------
% 8.92/2.94  % (3903355)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.92/2.94  % (3903355)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.92/2.94  % (3903355)CaDiCaL version: 2.1.3
% 8.92/2.94  % (3903355)Termination reason: Instruction limit
% 8.92/2.94  % (3903355)Termination phase: Saturation
% 8.92/2.94  % (3903355)Time elapsed: 0.345 s
% 8.92/2.94  % (3903355)Peak memory usage: 35 MB
% 8.92/2.94  % (3903355)Instructions burned: 1181 (million)
% 8.92/2.94  % (3903361)Instruction limit reached! 
% 8.92/2.94  % (3903361)------------------------------
% 8.92/2.94  % (3903361)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.92/2.94  % (3903361)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.92/2.94  % (3903361)CaDiCaL version: 2.1.3
% 8.92/2.94  % (3903361)Termination reason: Instruction limit
% 8.92/2.94  % (3903361)Termination phase: Saturation
% 8.92/2.94  % (3903361)Time elapsed: 0.230 s
% 8.92/2.94  % (3903361)Peak memory usage: 38 MB
% 8.92/2.94  % (3903361)Instructions burned: 882 (million)
% 8.92/2.94  % (3903367)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=10892196:fmbsr=1.7:i=920_2993 on theBenchmark for (2993ds/920Mi)
% 8.92/2.94  % (3903368)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=2299324703:i=5131_2992 on theBenchmark for (2992ds/5131Mi)
% 8.92/2.94  % TRYING [1]
% 8.92/2.94  % (3903365)Cannot represent all propositional literals internally
% 8.92/2.94  % (3903365)Refutation not found, incomplete strategy
% 8.92/2.94  % (3903365)------------------------------
% 8.92/2.94  % (3903365)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.92/2.94  % (3903365)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.92/2.94  % (3903365)CaDiCaL version: 2.1.3
% 8.92/2.94  % (3903365)Termination reason: Refutation not found, incomplete strategy
% 8.92/2.94  % (3903365)Time elapsed: 0.323 s
% 8.92/2.94  % (3903365)Peak memory usage: 44 MB
% 8.92/2.94  % (3903365)Instructions burned: 1176 (million)
% 8.92/2.94  % (3903365)------------------------------
% 8.92/2.94  % (3903365)------------------------------
% 8.92/2.94  % (3903371)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=2697650113:i=1472:ins=7:fdi=8:gsp=on_2990 on theBenchmark for (2990ds/1472Mi)
% 8.92/2.94  % (3903367)Instruction limit reached! 
% 8.92/2.94  % (3903367)------------------------------
% 8.92/2.94  % (3903367)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.92/2.94  % (3903367)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.92/2.94  % (3903367)CaDiCaL version: 2.1.3
% 8.92/2.94  % (3903367)Termination reason: Instruction limit
% 8.92/2.94  % (3903367)Termination phase: Finite model building preprocessing
% 8.92/2.94  % (3903367)Time elapsed: 0.254 s
% 8.92/2.94  % (3903367)Peak memory usage: 40 MB
% 8.92/2.94  % (3903367)Instructions burned: 921 (million)
% 8.92/2.94  % (3903373)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=2808966355:i=6324_2990 on theBenchmark for (2990ds/6324Mi)
% 8.92/2.94  % TRYING [2]
% 8.92/2.94  % TRYING [4]
% 8.92/2.94  % (3903373)Cannot represent all propositional literals internally
% 8.92/2.94  % (3903373)Refutation not found, incomplete strategy
% 8.92/2.94  % (3903373)------------------------------
% 8.92/2.94  % (3903373)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.92/2.94  % (3903373)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.92/2.94  % (3903373)CaDiCaL version: 2.1.3
% 8.92/2.94  % (3903373)Termination reason: Refutation not found, incomplete strategy
% 8.92/2.94  % (3903373)Time elapsed: 0.344 s
% 8.92/2.94  % (3903373)Peak memory usage: 44 MB
% 8.92/2.94  % (3903373)Instructions burned: 1231 (million)
% 8.92/2.94  % (3903373)------------------------------
% 8.92/2.94  % (3903373)------------------------------
% 8.92/2.94  % (3903375)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=3752419078:fmbsr=2.30978:i=2174_2986 on theBenchmark for (2986ds/2174Mi)
% 8.92/2.94  % (3903371)Instruction limit reached! 
% 8.92/2.94  % (3903371)------------------------------
% 8.92/2.94  % (3903371)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.92/2.94  % (3903371)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.92/2.94  % (3903371)CaDiCaL version: 2.1.3
% 8.92/2.94  % (3903371)Termination reason: Instruction limit
% 8.92/2.94  % (3903371)Termination phase: Saturation
% 8.92/2.94  % (3903371)Time elapsed: 0.430 s
% 8.92/2.94  % (3903371)Peak memory usage: 38 MB
% 8.92/2.94  % (3903371)Instructions burned: 1474 (million)
% 8.92/2.94  % (3903377)ott-2_1_sil=16000:newcnf=on:random_seed=3745349847:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2986 on theBenchmark for (2986ds/869Mi)
% 8.92/2.94  % TRYING [3]
% 8.92/2.94  % (3903377)Instruction limit reached! 
% 8.92/2.94  % (3903377)------------------------------
% 8.92/2.94  % (3903377)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.92/2.94  % (3903377)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.92/2.94  % (3903377)CaDiCaL version: 2.1.3
% 8.92/2.94  % (3903377)Termination reason: Instruction limit
% 8.92/2.94  % (3903377)Termination phase: Saturation
% 8.92/2.94  % (3903377)Time elapsed: 0.256 s
% 8.92/2.94  % (3903377)Peak memory usage: 35 MB
% 8.92/2.94  % (3903377)Instructions burned: 871 (million)
% 8.92/2.94  % (3903379)ott+10_1_sil=32000:tgt=ground:random_seed=3518616360:i=5114:av=off_2983 on theBenchmark for (2983ds/5114Mi)
% 8.92/2.94  % (3903375)Instruction limit reached! 
% 8.92/2.94  % (3903375)------------------------------
% 8.92/2.94  % (3903375)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.92/2.94  % (3903375)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.92/2.94  % (3903375)CaDiCaL version: 2.1.3
% 8.92/2.94  % (3903375)Termination reason: Instruction limit
% 8.92/2.94  % (3903375)Termination phase: Finite model building preprocessing
% 8.92/2.94  % (3903375)Time elapsed: 0.585 s
% 8.92/2.94  % (3903375)Peak memory usage: 66 MB
% 8.92/2.94  % (3903375)Instructions burned: 2175 (million)
% 8.92/2.94  % (3903381)fmb+10_1_sil=64000:sas=cadical:bce=on:rp=on:random_seed=68960564:i=54282_2980 on theBenchmark for (2980ds/54282Mi)
% 8.92/2.94  % (3903368)Instruction limit reached! 
% 8.92/2.94  % (3903368)------------------------------
% 8.92/2.94  % (3903368)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.92/2.94  % (3903368)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.92/2.94  % (3903368)CaDiCaL version: 2.1.3
% 8.92/2.94  % (3903368)Termination reason: Instruction limit
% 8.92/2.94  % (3903368)Termination phase: Saturation
% 8.92/2.94  % (3903368)Time elapsed: 1.413 s
% 8.92/2.94  % (3903368)Peak memory usage: 65 MB
% 8.92/2.94  % (3903368)Instructions burned: 5131 (million)
% 8.92/2.94  % (3903383)dis-11_1_sil=16000:sp=reverse_frequency:alpa=true:random_seed=1379527116:i=3512:aac=none_2978 on theBenchmark for (2978ds/3512Mi)
% 8.92/2.94  % TRYING [1]
% 8.92/2.94  % TRYING [2]
% 8.92/2.94  % TRYING [3]
% 8.92/2.94  % (3903383) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3903324-3903383"...
% 8.92/2.94  % (3903383)...printing done.
% 8.92/2.94  % (3903383)Refutation found. Thanks to Tanya!
% 8.92/2.94  % SZS status Theorem for theBenchmark
% 8.92/2.94  % SZS output start Proof for theBenchmark
% See solution above
% 8.92/2.94  % (3903383)------------------------------
% 8.92/2.94  % (3903383)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.92/2.94  % (3903383)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.92/2.94  % (3903383)CaDiCaL version: 2.1.3
% 8.92/2.94  % (3903383)Termination reason: Refutation
% 8.92/2.94  % (3903383)Time elapsed: 0.618 s
% 8.92/2.94  % (3903383)Peak memory usage: 45 MB
% 8.92/2.94  % (3903383)Instructions burned: 2192 (million)
% 8.92/2.94  % (3903324)Success in time 2.816 s
% 8.92/2.94  % Vampire exiting
%------------------------------------------------------------------------------