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

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : SWX077_1 : TPTP v9.3.1. Released v9.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT

% Computer : n014.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 01:46:26 PM UTC 2026

% Result   : Theorem 0.06s 0.24s
% Output   : Refutation 0.06s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   24
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   67 (  28 unt;   0 typ;   0 def)
%            Number of atoms       :  308 ( 146 equ)
%            Maximal formula atoms :   14 (   4 avg)
%            Number of connectives :  392 ( 151   ~; 122   |; 113   &)
%                                         (   1 <=>;   5  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   25 (   6 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of types       :    4 (   2 usr;   1 ari;   0 dat;   0 cdt)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :   12 (  10 usr;   1 prp; 0-2 aty)
%            Number of functors    :   26 (  26 usr;  14 con; 0-1 aty)
%            Number of variables   :  185 ( 118   !;  67   ?; 185   :)

% Comments : 
%------------------------------------------------------------------------------
tff(type_def_5,type,
    general: $tType ).

tff(type_def_6,type,
    symbol: $tType ).

tff(func_def_0,type,
    f__integer__: $int > general ).

tff(func_def_1,type,
    f__symbolic__: symbol > general ).

tff(func_def_2,type,
    c__infimum__: general ).

tff(func_def_3,type,
    c__supremum__: general ).

tff(func_def_4,type,
    n_i: $int ).

tff(func_def_9,type,
    sK0: general > $int ).

tff(func_def_10,type,
    sK1: general > symbol ).

tff(func_def_11,type,
    sK2: general > general ).

tff(func_def_12,type,
    sK3: general > general ).

tff(func_def_13,type,
    sK4: general > general ).

tff(func_def_14,type,
    sK5: general > general ).

tff(func_def_15,type,
    sK6: general > general ).

tff(func_def_16,type,
    sK7: general > $int ).

tff(func_def_17,type,
    sK8: general > $int ).

tff(func_def_18,type,
    sK9: general > $int ).

tff(func_def_19,type,
    sK10: general ).

tff(func_def_20,type,
    sK11: general ).

tff(func_def_21,type,
    sK12: general ).

tff(func_def_22,type,
    sK13: general ).

tff(func_def_23,type,
    sK14: general ).

tff(func_def_24,type,
    sK15: general ).

tff(func_def_25,type,
    sK16: general ).

tff(func_def_26,type,
    sK17: general ).

tff(func_def_27,type,
    sK18: general ).

tff(func_def_28,type,
    sK19: general ).

tff(func_def_29,type,
    sK20: general ).

tff(pred_def_1,type,
    p__is_integer__: general > $o ).

tff(pred_def_2,type,
    p__is_symbolic__: general > $o ).

tff(pred_def_3,type,
    p__less_equal__: ( general * general ) > $o ).

tff(pred_def_4,type,
    p__less__: ( general * general ) > $o ).

tff(pred_def_5,type,
    p__greater_equal__: ( general * general ) > $o ).

tff(pred_def_6,type,
    p__greater__: ( general * general ) > $o ).

tff(pred_def_8,type,
    covered: general > $o ).

tff(pred_def_9,type,
    in_cover: general > $o ).

tff(pred_def_10,type,
    s: ( general * general ) > $o ).

tff(pred_def_11,type,
    covered_p: general > $o ).

tff(f9,axiom,
    ! [X0: general,X1: general] :
      ( p__less_equal__(X0,X1)
      | p__less_equal__(X1,X0) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWV014_0.ax',strongly_connected_ordering_ax) ).

tff(f10,axiom,
    ! [X0: general,X1: general] :
      ( p__less__(X0,X1)
    <=> ( p__less_equal__(X0,X1)
        & ( X0 != X1 ) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWV014_0.ax',p__less__def_ax) ).

tff(f19,axiom,
    ! [X0: general,X1: general,X2: general] :
      ( ( ? [X3: general,X4: general] :
            ( ( X3 = X0 )
            & ( X4 = X1 )
            & p__less__(X3,X4) )
        & ? [X3: general] :
            ( ( X3 = X0 )
            & in_cover(X3) )
        & ? [X3: general] :
            ( ( X3 = X1 )
            & in_cover(X3) )
        & ? [X3: general,X4: general] :
            ( ( X3 = X2 )
            & ( X4 = X0 )
            & s(X3,X4) )
        & ? [X3: general,X4: general] :
            ( ( X3 = X2 )
            & ( X4 = X1 )
            & s(X3,X4) ) )
     => $false ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',formula_3_constraint_0) ).

tff(f22,conjecture,
    ! [X0: general,X1: general,X2: general] :
      ( ( ? [X3: general,X4: general] :
            ( ( X3 = X0 )
            & ( X4 = X1 )
            & ( X3 != X4 ) )
        & ? [X3: general] :
            ( ( X3 = X0 )
            & in_cover(X3) )
        & ? [X3: general] :
            ( ( X3 = X1 )
            & in_cover(X3) )
        & ? [X3: general,X4: general] :
            ( ( X3 = X2 )
            & ( X4 = X0 )
            & s(X3,X4) )
        & ? [X3: general,X4: general] :
            ( ( X3 = X2 )
            & ( X4 = X1 )
            & s(X3,X4) ) )
     => $false ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',formula_6_constraint_0) ).

tff(f23,negated_conjecture,
    ~ ! [X0: general,X1: general,X2: general] :
        ( ( ? [X3: general,X4: general] :
              ( ( X3 = X0 )
              & ( X4 = X1 )
              & ( X3 != X4 ) )
          & ? [X3: general] :
              ( ( X3 = X0 )
              & in_cover(X3) )
          & ? [X3: general] :
              ( ( X3 = X1 )
              & in_cover(X3) )
          & ? [X3: general,X4: general] :
              ( ( X3 = X2 )
              & ( X4 = X0 )
              & s(X3,X4) )
          & ? [X3: general,X4: general] :
              ( ( X3 = X2 )
              & ( X4 = X1 )
              & s(X3,X4) ) )
       => $false ),
    inference(negated_conjecture,[status(cth)],[f22]) ).

tff(f41,plain,
    ! [X0: general,X1: general,X2: general] :
      ( ( ? [X3: general,X4: general] :
            ( ( X3 = X0 )
            & ( X4 = X1 )
            & p__less__(X3,X4) )
        & ? [X5: general] :
            ( ( X0 = X5 )
            & in_cover(X5) )
        & ? [X6: general] :
            ( ( X1 = X6 )
            & in_cover(X6) )
        & ? [X7: general,X8: general] :
            ( ( X2 = X7 )
            & ( X0 = X8 )
            & s(X7,X8) )
        & ? [X9: general,X10: general] :
            ( ( X2 = X9 )
            & ( X1 = X10 )
            & s(X9,X10) ) )
     => $false ),
    inference(rectify,[],[f19]) ).

tff(f42,plain,
    ! [X0: general,X1: general,X2: general] :
      ~ ( ? [X3: general,X4: general] :
            ( ( X3 = X0 )
            & ( X4 = X1 )
            & p__less__(X3,X4) )
        & ? [X5: general] :
            ( ( X0 = X5 )
            & in_cover(X5) )
        & ? [X6: general] :
            ( ( X1 = X6 )
            & in_cover(X6) )
        & ? [X7: general,X8: general] :
            ( ( X2 = X7 )
            & ( X0 = X8 )
            & s(X7,X8) )
        & ? [X9: general,X10: general] :
            ( ( X2 = X9 )
            & ( X1 = X10 )
            & s(X9,X10) ) ),
    inference(true_and_false_elimination,[],[f41]) ).

tff(f46,plain,
    ~ ! [X0: general,X1: general,X2: general] :
        ( ( ? [X3: general,X4: general] :
              ( ( X3 = X0 )
              & ( X4 = X1 )
              & ( X3 != X4 ) )
          & ? [X5: general] :
              ( ( X0 = X5 )
              & in_cover(X5) )
          & ? [X6: general] :
              ( ( X1 = X6 )
              & in_cover(X6) )
          & ? [X7: general,X8: general] :
              ( ( X2 = X7 )
              & ( X0 = X8 )
              & s(X7,X8) )
          & ? [X9: general,X10: general] :
              ( ( X2 = X9 )
              & ( X1 = X10 )
              & s(X9,X10) ) )
       => $false ),
    inference(rectify,[],[f23]) ).

tff(f47,plain,
    ~ ! [X0: general,X1: general,X2: general] :
        ~ ( ? [X3: general,X4: general] :
              ( ( X3 = X0 )
              & ( X4 = X1 )
              & ( X3 != X4 ) )
          & ? [X5: general] :
              ( ( X0 = X5 )
              & in_cover(X5) )
          & ? [X6: general] :
              ( ( X1 = X6 )
              & in_cover(X6) )
          & ? [X7: general,X8: general] :
              ( ( X2 = X7 )
              & ( X0 = X8 )
              & s(X7,X8) )
          & ? [X9: general,X10: general] :
              ( ( X2 = X9 )
              & ( X1 = X10 )
              & s(X9,X10) ) ),
    inference(true_and_false_elimination,[],[f46]) ).

tff(f58,plain,
    ! [X0: general,X1: general,X2: general] :
      ( ! [X3: general,X4: general] :
          ( ( X0 != X3 )
          | ( X1 != X4 )
          | ~ p__less__(X3,X4) )
      | ! [X5: general] :
          ( ( X0 != X5 )
          | ~ in_cover(X5) )
      | ! [X6: general] :
          ( ( X1 != X6 )
          | ~ in_cover(X6) )
      | ! [X7: general,X8: general] :
          ( ( X2 != X7 )
          | ( X0 != X8 )
          | ~ s(X7,X8) )
      | ! [X9: general,X10: general] :
          ( ( X2 != X9 )
          | ( X1 != X10 )
          | ~ s(X9,X10) ) ),
    inference(ennf_transformation,[],[f42]) ).

tff(f60,plain,
    ? [X0: general,X1: general,X2: general] :
      ( ? [X3: general,X4: general] :
          ( ( X3 = X0 )
          & ( X4 = X1 )
          & ( X3 != X4 ) )
      & ? [X5: general] :
          ( ( X0 = X5 )
          & in_cover(X5) )
      & ? [X6: general] :
          ( ( X1 = X6 )
          & in_cover(X6) )
      & ? [X7: general,X8: general] :
          ( ( X2 = X7 )
          & ( X0 = X8 )
          & s(X7,X8) )
      & ? [X9: general,X10: general] :
          ( ( X2 = X9 )
          & ( X1 = X10 )
          & s(X9,X10) ) ),
    inference(ennf_transformation,[],[f47]) ).

tff(f66,plain,
    ! [X0: general,X1: general] :
      ( ( p__less__(X0,X1)
        | ~ p__less_equal__(X0,X1)
        | ( X0 = X1 ) )
      & ( ( p__less_equal__(X0,X1)
          & ( X0 != X1 ) )
        | ~ p__less__(X0,X1) ) ),
    inference(nnf_transformation,[],[f10]) ).

tff(f67,plain,
    ! [X0: general,X1: general] :
      ( ( p__less__(X0,X1)
        | ~ p__less_equal__(X0,X1)
        | ( X0 = X1 ) )
      & ( ( p__less_equal__(X0,X1)
          & ( X0 != X1 ) )
        | ~ p__less__(X0,X1) ) ),
    inference(flattening,[],[f66]) ).

tff(f73,plain,
    ( ( sK10 = sK13 )
    & ( sK11 = sK14 )
    & ( sK13 != sK14 )
    & ( sK10 = sK15 )
    & in_cover(sK15)
    & ( sK11 = sK16 )
    & in_cover(sK16)
    & ( sK12 = sK17 )
    & ( sK10 = sK18 )
    & s(sK17,sK18)
    & ( sK12 = sK19 )
    & ( sK11 = sK20 )
    & s(sK19,sK20) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK18,sK19,sK20]),skolemize(X0,sK10),skolemize(X1,sK11),skolemize(X2,sK12),skolemize(X3,sK13),skolemize(X4,sK14),skolemize(X5,sK15),skolemize(X6,sK16),skolemize(X7,sK17),skolemize(X8,sK18),skolemize(X9,sK19),skolemize(X10,sK20)],[f60]) ).

tff(f85,plain,
    ! [X0: general,X1: general] :
      ( p__less_equal__(X0,X1)
      | p__less_equal__(X1,X0) ),
    inference(cnf_transformation,[],[f9]) ).

tff(f88,plain,
    ! [X0: general,X1: general] :
      ( ~ p__less_equal__(X0,X1)
      | p__less__(X0,X1)
      | ( X0 = X1 ) ),
    inference(cnf_transformation,[],[f67]) ).

tff(f99,plain,
    ! [X2: general,X3: general,X10: general,X0: general,X1: general,X8: general,X6: general,X9: general,X7: general,X4: general,X5: general] :
      ( ( X0 != X3 )
      | ( X1 != X4 )
      | ~ p__less__(X3,X4)
      | ( X0 != X5 )
      | ~ in_cover(X5)
      | ( X1 != X6 )
      | ~ in_cover(X6)
      | ( X2 != X7 )
      | ( X0 != X8 )
      | ~ s(X7,X8)
      | ( X2 != X9 )
      | ( X1 != X10 )
      | ~ s(X9,X10) ),
    inference(cnf_transformation,[],[f58]) ).

tff(f108,plain,
    s(sK19,sK20),
    inference(cnf_transformation,[],[f73]) ).

tff(f109,plain,
    sK11 = sK20,
    inference(cnf_transformation,[],[f73]) ).

tff(f110,plain,
    sK12 = sK19,
    inference(cnf_transformation,[],[f73]) ).

tff(f111,plain,
    s(sK17,sK18),
    inference(cnf_transformation,[],[f73]) ).

tff(f112,plain,
    sK10 = sK18,
    inference(cnf_transformation,[],[f73]) ).

tff(f113,plain,
    sK12 = sK17,
    inference(cnf_transformation,[],[f73]) ).

tff(f114,plain,
    in_cover(sK16),
    inference(cnf_transformation,[],[f73]) ).

tff(f115,plain,
    sK11 = sK16,
    inference(cnf_transformation,[],[f73]) ).

tff(f116,plain,
    in_cover(sK15),
    inference(cnf_transformation,[],[f73]) ).

tff(f117,plain,
    sK10 = sK15,
    inference(cnf_transformation,[],[f73]) ).

tff(f118,plain,
    sK13 != sK14,
    inference(cnf_transformation,[],[f73]) ).

tff(f119,plain,
    sK11 = sK14,
    inference(cnf_transformation,[],[f73]) ).

tff(f120,plain,
    sK10 = sK13,
    inference(cnf_transformation,[],[f73]) ).

tff(f121,plain,
    sK13 = sK15,
    inference(definition_unfolding,[],[f117,f120]) ).

tff(f122,plain,
    sK14 = sK16,
    inference(definition_unfolding,[],[f115,f119]) ).

tff(f123,plain,
    sK13 = sK18,
    inference(definition_unfolding,[],[f112,f120]) ).

tff(f124,plain,
    sK17 = sK19,
    inference(definition_unfolding,[],[f110,f113]) ).

tff(f125,plain,
    sK14 = sK20,
    inference(definition_unfolding,[],[f109,f119]) ).

tff(f129,plain,
    ! [X2: general,X3: general,X10: general,X1: general,X8: general,X6: general,X9: general,X7: general,X4: general,X5: general] :
      ( ( X1 != X4 )
      | ~ p__less__(X3,X4)
      | ( X3 != X5 )
      | ~ in_cover(X5)
      | ( X1 != X6 )
      | ~ in_cover(X6)
      | ( X2 != X7 )
      | ( X3 != X8 )
      | ~ s(X7,X8)
      | ( X2 != X9 )
      | ( X1 != X10 )
      | ~ s(X9,X10) ),
    inference(equality_resolution,[],[f99]) ).

tff(f130,plain,
    ! [X2: general,X3: general,X10: general,X8: general,X6: general,X9: general,X7: general,X4: general,X5: general] :
      ( ~ p__less__(X3,X4)
      | ( X3 != X5 )
      | ~ in_cover(X5)
      | ( X4 != X6 )
      | ~ in_cover(X6)
      | ( X2 != X7 )
      | ( X3 != X8 )
      | ~ s(X7,X8)
      | ( X2 != X9 )
      | ( X4 != X10 )
      | ~ s(X9,X10) ),
    inference(equality_resolution,[],[f129]) ).

tff(f131,plain,
    ! [X2: general,X10: general,X8: general,X6: general,X9: general,X7: general,X4: general,X5: general] :
      ( ~ p__less__(X5,X4)
      | ~ in_cover(X5)
      | ( X4 != X6 )
      | ~ in_cover(X6)
      | ( X2 != X7 )
      | ( X5 != X8 )
      | ~ s(X7,X8)
      | ( X2 != X9 )
      | ( X4 != X10 )
      | ~ s(X9,X10) ),
    inference(equality_resolution,[],[f130]) ).

tff(f132,plain,
    ! [X2: general,X10: general,X8: general,X6: general,X9: general,X7: general,X5: general] :
      ( ~ p__less__(X5,X6)
      | ~ in_cover(X5)
      | ~ in_cover(X6)
      | ( X2 != X7 )
      | ( X5 != X8 )
      | ~ s(X7,X8)
      | ( X2 != X9 )
      | ( X6 != X10 )
      | ~ s(X9,X10) ),
    inference(equality_resolution,[],[f131]) ).

tff(f133,plain,
    ! [X10: general,X8: general,X6: general,X9: general,X7: general,X5: general] :
      ( ~ p__less__(X5,X6)
      | ~ in_cover(X5)
      | ~ in_cover(X6)
      | ( X5 != X8 )
      | ~ s(X7,X8)
      | ( X7 != X9 )
      | ( X6 != X10 )
      | ~ s(X9,X10) ),
    inference(equality_resolution,[],[f132]) ).

tff(f134,plain,
    ! [X10: general,X8: general,X6: general,X9: general,X7: general] :
      ( ~ p__less__(X8,X6)
      | ~ in_cover(X8)
      | ~ in_cover(X6)
      | ~ s(X7,X8)
      | ( X7 != X9 )
      | ( X6 != X10 )
      | ~ s(X9,X10) ),
    inference(equality_resolution,[],[f133]) ).

tff(f135,plain,
    ! [X10: general,X8: general,X6: general,X9: general] :
      ( ~ p__less__(X8,X6)
      | ~ in_cover(X8)
      | ~ in_cover(X6)
      | ~ s(X9,X8)
      | ( X6 != X10 )
      | ~ s(X9,X10) ),
    inference(equality_resolution,[],[f134]) ).

tff(f136,plain,
    ! [X10: general,X8: general,X9: general] :
      ( ~ s(X9,X10)
      | ~ in_cover(X8)
      | ~ in_cover(X10)
      | ~ s(X9,X8)
      | ~ p__less__(X8,X10) ),
    inference(equality_resolution,[],[f135]) ).

tff(f143,plain,
    in_cover(sK13),
    inference(superposition,[],[f116,f121]) ).

tff(f144,plain,
    in_cover(sK14),
    inference(superposition,[],[f114,f122]) ).

tff(f145,plain,
    s(sK17,sK13),
    inference(superposition,[],[f111,f123]) ).

tff(f147,plain,
    s(sK19,sK14),
    inference(superposition,[],[f108,f125]) ).

tff(f148,plain,
    s(sK17,sK14),
    inference(forward_demodulation,[],[f147,f124]) ).

tff(f297,plain,
    ! [X0: general,X1: general] :
      ( p__less__(X0,X1)
      | ( X0 = X1 )
      | p__less_equal__(X1,X0) ),
    inference(resolution,[],[f88,f85]) ).

tff(f381,plain,
    ! [X0: general] :
      ( ~ in_cover(X0)
      | ~ in_cover(sK20)
      | ~ s(sK19,X0)
      | ~ p__less__(X0,sK20) ),
    inference(resolution,[],[f136,f108]) ).

tff(f385,plain,
    ! [X0: general] :
      ( ~ in_cover(X0)
      | ~ in_cover(sK18)
      | ~ s(sK17,X0)
      | ~ p__less__(X0,sK18) ),
    inference(resolution,[],[f136,f111]) ).

tff(f387,plain,
    ! [X0: general] :
      ( ~ in_cover(sK13)
      | ~ in_cover(X0)
      | ~ s(sK17,X0)
      | ~ p__less__(X0,sK18) ),
    inference(forward_demodulation,[],[f385,f123]) ).

tff(f398,plain,
    ! [X0: general] :
      ( ~ in_cover(sK14)
      | ~ in_cover(X0)
      | ~ s(sK19,X0)
      | ~ p__less__(X0,sK20) ),
    inference(forward_demodulation,[],[f381,f125]) ).

tff(f399,plain,
    ! [X0: general] :
      ( ~ in_cover(X0)
      | ~ s(sK17,X0)
      | ~ p__less__(X0,sK18) ),
    inference(forward_subsumption_resolution,[],[f387,f143]) ).

tff(f400,plain,
    ! [X0: general] :
      ( ~ in_cover(X0)
      | ~ s(sK19,X0)
      | ~ p__less__(X0,sK20) ),
    inference(forward_subsumption_resolution,[],[f398,f144]) ).

tff(f401,plain,
    ! [X0: general] :
      ( ~ s(sK17,X0)
      | ~ in_cover(X0)
      | ~ p__less__(X0,sK13) ),
    inference(forward_demodulation,[],[f399,f123]) ).

tff(f402,plain,
    ! [X0: general] :
      ( ~ s(sK17,X0)
      | ~ in_cover(X0)
      | ~ p__less__(X0,sK20) ),
    inference(forward_demodulation,[],[f400,f124]) ).

tff(f403,plain,
    ! [X0: general] :
      ( ~ s(sK17,X0)
      | ~ p__less__(X0,sK14)
      | ~ in_cover(X0) ),
    inference(forward_demodulation,[],[f402,f125]) ).

tff(f415,plain,
    ( ~ in_cover(sK14)
    | ~ p__less__(sK14,sK13) ),
    inference(resolution,[],[f401,f148]) ).

tff(f418,plain,
    ~ p__less__(sK14,sK13),
    inference(forward_subsumption_resolution,[],[f415,f144]) ).

tff(f423,plain,
    ( ~ p__less__(sK13,sK14)
    | ~ in_cover(sK13) ),
    inference(resolution,[],[f403,f145]) ).

tff(f427,plain,
    ~ p__less__(sK13,sK14),
    inference(forward_subsumption_resolution,[],[f423,f143]) ).

tff(f607,plain,
    ( ( sK13 = sK14 )
    | p__less_equal__(sK14,sK13) ),
    inference(resolution,[],[f297,f427]) ).

tff(f608,plain,
    p__less_equal__(sK14,sK13),
    inference(forward_subsumption_resolution,[],[f607,f118]) ).

tff(f611,plain,
    ( p__less__(sK14,sK13)
    | ( sK13 = sK14 ) ),
    inference(resolution,[],[f608,f88]) ).

tff(f615,plain,
    sK13 = sK14,
    inference(forward_subsumption_resolution,[],[f611,f418]) ).

tff(f616,plain,
    $false,
    inference(forward_subsumption_resolution,[],[f615,f118]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : SWX077_1 : TPTP v9.3.1. Released v9.1.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.06/0.17  % Computer : n014.cluster.edu
% 0.06/0.17  % Model    : x86_64 x86_64
% 0.06/0.17  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.17  % Memory   : 8046.5625MB
% 0.06/0.17  % OS       : Linux 6.8.0-71-generic
% 0.06/0.17  % CPULimit : 300
% 0.06/0.17  % WCLimit  : 300
% 0.06/0.17  % DateTime : Mon Sep 28 15:00:01 UTC 2026
% 0.06/0.17  % CPUTime  : 
% 0.06/0.17  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.06/0.20  Running first-order model finding
% 0.06/0.20  Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.06/0.24  % (1831404)Will run a generic schedule for satisfiability detection.
% 0.06/0.24  % (1831412)dis+10_1_sil=32000:sp=arity:random_seed=2469899504:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.06/0.24  % (1831412) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1831404-1831412"...
% 0.06/0.24  % (1831409)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3054674436_2999 on theBenchmark for (2999ds/0Mi)
% 0.06/0.24  % (1831411)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=589132878:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.06/0.24  % (1831415)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1857944462:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.06/0.24  % (1831413)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2152633712:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.06/0.24  % (1831414)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2623444619:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.06/0.24  % (1831412)...printing done.
% 0.06/0.24  % (1831410)% WARNING: option uhcvi not known.
% 0.06/0.24  % (1831409)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.06/0.24  % (1831409)Terminated due to inappropriate strategy.
% 0.06/0.24  % (1831409)------------------------------
% 0.06/0.24  % (1831409)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.06/0.24  % (1831409)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.06/0.24  % (1831409)CaDiCaL version: 2.1.3
% 0.06/0.24  % (1831409)Termination reason: Inappropriate
% 0.06/0.24  % (1831409)Time elapsed: 0.001 s
% 0.06/0.24  % (1831409)Peak memory usage: 11 MB
% 0.06/0.24  % (1831409)Instructions burned: 2 (million)
% 0.06/0.24  % (1831409)------------------------------
% 0.06/0.24  % (1831409)------------------------------
% 0.06/0.24  % (1831412)Refutation found. Thanks to Tanya!
% 0.06/0.24  % SZS status Theorem for theBenchmark
% 0.06/0.24  % SZS output start Proof for theBenchmark
% See solution above
% 0.06/0.25  % (1831412)------------------------------
% 0.06/0.25  % (1831412)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.06/0.25  % (1831412)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.06/0.25  % (1831412)CaDiCaL version: 2.1.3
% 0.06/0.25  % (1831412)Termination reason: Refutation
% 0.06/0.25  % (1831412)Time elapsed: 0.008 s
% 0.06/0.25  % (1831412)Peak memory usage: 12 MB
% 0.06/0.25  % (1831412)Instructions burned: 19 (million)
% 0.06/0.25  % (1831404)Success in time 0.037 s
% 0.06/0.25  % Vampire exiting
%------------------------------------------------------------------------------