TSTP Solution File: SYO299^5 by Vampire---4.8

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%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SYO299^5 : TPTP v8.2.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n022.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 : Tue May 21 09:03:52 EDT 2024

% Result   : Theorem 0.07s 0.29s
% Output   : Refutation 0.07s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   13
%            Number of leaves      :    2
% Syntax   : Number of formulae    :   17 (   5 unt;   0 typ;   0 def)
%            Number of atoms       :  124 (  64 equ)
%            Maximal formula atoms :   16 (   7 avg)
%            Number of connectives :   97 (  31   ~;  26   |;  19   &)
%                                         (  15 <=>;   5  =>;   0  <=;   1 <~>)
%            Maximal formula depth :   11 (   6 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of FOOLs       :  146 (  59 fml;  87 var)
%            Number of types       :    1 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :    6 (   3 usr;   5 prp; 0-2 aty)
%            Number of functors    :    0 (   0 usr;   0 con; --- aty)
%            Number of variables   :   43 (  24   !;  19   ?;  43   :)

% Comments : 
%------------------------------------------------------------------------------
tff(f34,plain,
    $false,
    inference(subsumption_resolution,[],[f32,f31]) ).

tff(f31,plain,
    ! [X0: $o,X1: $o] : ( (X0) = (X1) ),
    inference(superposition,[],[f28,f28]) ).

tff(f28,plain,
    ! [X3: $o] : ( sK0 = (X3) ),
    inference(subsumption_resolution,[],[f13,f17]) ).

tff(f17,plain,
    $true != sK1,
    inference(equality_resolution,[],[f14]) ).

tff(f14,plain,
    ! [X3: $o] :
      ( ( sK0 != (X3) )
      | ( $true != sK1 ) ),
    inference(cnf_transformation,[],[f12]) ).

tff(f12,plain,
    ! [X3: $o] :
      ( ( ( $true = sK2 )
        | ( sK0 != sK1 ) )
      & ( ( sK0 = sK1 )
        | ( $true != sK2 ) )
      & ( ( sK0 != (X3) )
        | ( $true != sK1 ) )
      & ( ( sK0 = (X3) )
        | ( $true = sK1 ) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f10,f11]) ).

tff(f11,plain,
    ( ? [X0: $o,X1: $o,X2: $o] :
      ! [X3: $o] :
        ( ( ( $true = (X2) )
          | ( (X0) != (X1) ) )
        & ( ( (X0) = (X1) )
          | ( $true != (X2) ) )
        & ( ( (X0) != (X3) )
          | ( $true != (X1) ) )
        & ( ( (X0) = (X3) )
          | ( $true = (X1) ) ) )
   => ! [X3: $o] :
        ( ( ( $true = sK2 )
          | ( sK0 != sK1 ) )
        & ( ( sK0 = sK1 )
          | ( $true != sK2 ) )
        & ( ( sK0 != (X3) )
          | ( $true != sK1 ) )
        & ( ( sK0 = (X3) )
          | ( $true = sK1 ) ) ) ),
    introduced(choice_axiom,[]) ).

tff(f10,plain,
    ? [X0: $o,X1: $o,X2: $o] :
    ! [X3: $o] :
      ( ( ( $true = (X2) )
        | ( (X0) != (X1) ) )
      & ( ( (X0) = (X1) )
        | ( $true != (X2) ) )
      & ( ( (X0) != (X3) )
        | ( $true != (X1) ) )
      & ( ( (X0) = (X3) )
        | ( $true = (X1) ) ) ),
    inference(rectify,[],[f9]) ).

tff(f9,plain,
    ? [X1: $o,X2: $o,X0: $o] :
    ! [X3: $o] :
      ( ( ( $true = (X0) )
        | ( (X1) != (X2) ) )
      & ( ( (X1) = (X2) )
        | ( $true != (X0) ) )
      & ( ( (X1) != (X3) )
        | ( $true != (X2) ) )
      & ( ( (X1) = (X3) )
        | ( $true = (X2) ) ) ),
    inference(flattening,[],[f8]) ).

tff(f8,plain,
    ? [X1: $o,X2: $o,X0: $o] :
    ! [X3: $o] :
      ( ( ( $true = (X0) )
        | ( (X1) != (X2) ) )
      & ( ( (X1) = (X2) )
        | ( $true != (X0) ) )
      & ( ( (X1) != (X3) )
        | ( $true != (X2) ) )
      & ( ( (X1) = (X3) )
        | ( $true = (X2) ) ) ),
    inference(nnf_transformation,[],[f7]) ).

tff(f7,plain,
    ? [X1: $o,X2: $o,X0: $o] :
    ! [X3: $o] :
      ( ( ( $true = (X0) )
      <=> ( (X1) = (X2) ) )
      & ( ( $true = (X2) )
      <~> ( (X1) = (X3) ) ) ),
    inference(ennf_transformation,[],[f6]) ).

tff(f6,plain,
    ~ ! [X2: $o,X1: $o,X0: $o] :
      ? [X3: $o] :
        ( ( ( $true = (X0) )
        <=> ( (X1) = (X2) ) )
       => ( ( $true = (X2) )
        <=> ( (X1) = (X3) ) ) ),
    inference(fool_elimination,[],[f5]) ).

tff(f5,plain,
    ~ ! [X0: $o,X1: $o,X2: $o] :
      ? [X3: $o] :
        ( ( ( (X2)
          <=> (X1) )
        <=> (X0) )
       => ( (X2)
        <=> ( (X3)
          <=> (X1) ) ) ),
    inference(rectify,[],[f2]) ).

tff(f2,negated_conjecture,
    ~ ! [X2: $o,X1: $o,X0: $o] :
      ? [X3: $o] :
        ( ( ( (X0)
          <=> (X1) )
        <=> (X2) )
       => ( (X0)
        <=> ( (X3)
          <=> (X1) ) ) ),
    inference(negated_conjecture,[],[f1]) ).

tff(f1,conjecture,
    ! [X2: $o,X1: $o,X0: $o] :
    ? [X3: $o] :
      ( ( ( (X0)
        <=> (X1) )
      <=> (X2) )
     => ( (X0)
      <=> ( (X3)
        <=> (X1) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cTHM51) ).

tff(f13,plain,
    ! [X3: $o] :
      ( ( $true = sK1 )
      | ( sK0 = (X3) ) ),
    inference(cnf_transformation,[],[f12]) ).

tff(f32,plain,
    $true != sK0,
    inference(superposition,[],[f17,f28]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.07  % Problem    : SYO299^5 : TPTP v8.2.0. Released v4.0.0.
% 0.06/0.08  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.07/0.27  % Computer : n022.cluster.edu
% 0.07/0.27  % Model    : x86_64 x86_64
% 0.07/0.27  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.27  % Memory   : 8042.1875MB
% 0.07/0.27  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.07/0.27  % CPULimit   : 300
% 0.07/0.27  % WCLimit    : 300
% 0.07/0.27  % DateTime   : Mon May 20 08:48:37 EDT 2024
% 0.07/0.27  % CPUTime    : 
% 0.07/0.27  This is a TH0_THM_NEQ_NAR problem
% 0.07/0.27  Running vampire_ho --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_hol --cores 8 -m 12000 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.07/0.28  % (18396)lrs+10_1:1_c=on:cnfonf=conj_eager:fd=off:fe=off:kws=frequency:spb=intro:i=4:si=on:rtra=on_0 on theBenchmark for (3000ds/4Mi)
% 0.07/0.28  % (18395)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (3000ds/183Mi)
% 0.07/0.28  % (18400)lrs+1002_1:1_au=on:bd=off:e2e=on:sd=2:sos=on:ss=axioms:i=275:si=on:rtra=on_0 on theBenchmark for (3000ds/275Mi)
% 0.07/0.28  % (18398)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (3000ds/2Mi)
% 0.07/0.28  % (18399)lrs+1002_1:128_aac=none:au=on:cnfonf=lazy_not_gen_be_off:sos=all:i=2:si=on:rtra=on_0 on theBenchmark for (3000ds/2Mi)
% 0.07/0.28  % (18397)dis+1010_1:1_au=on:cbe=off:chr=on:fsr=off:hfsq=on:nm=64:sos=theory:sp=weighted_frequency:i=27:si=on:rtra=on_0 on theBenchmark for (3000ds/27Mi)
% 0.07/0.28  % (18402)lrs+10_1:1_bet=on:cnfonf=off:fd=off:hud=5:inj=on:i=3:si=on:rtra=on_0 on theBenchmark for (3000ds/3Mi)
% 0.07/0.28  % (18401)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (3000ds/18Mi)
% 0.07/0.29  % (18399)Instruction limit reached!
% 0.07/0.29  % (18399)------------------------------
% 0.07/0.29  % (18399)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.07/0.29  % (18399)Termination reason: Unknown
% 0.07/0.29  % (18399)Termination phase: Saturation
% 0.07/0.29  
% 0.07/0.29  % (18399)Memory used [KB]: 5500
% 0.07/0.29  % (18399)Time elapsed: 0.002 s
% 0.07/0.29  % (18399)Instructions burned: 2 (million)
% 0.07/0.29  % (18399)------------------------------
% 0.07/0.29  % (18399)------------------------------
% 0.07/0.29  % (18400)First to succeed.
% 0.07/0.29  % (18396)Also succeeded, but the first one will report.
% 0.07/0.29  % (18400)Refutation found. Thanks to Tanya!
% 0.07/0.29  % SZS status Theorem for theBenchmark
% 0.07/0.29  % SZS output start Proof for theBenchmark
% See solution above
% 0.07/0.29  % (18400)------------------------------
% 0.07/0.29  % (18400)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.07/0.29  % (18400)Termination reason: Refutation
% 0.07/0.29  
% 0.07/0.29  % (18400)Memory used [KB]: 5500
% 0.07/0.29  % (18400)Time elapsed: 0.002 s
% 0.07/0.29  % (18400)Instructions burned: 1 (million)
% 0.07/0.29  % (18400)------------------------------
% 0.07/0.29  % (18400)------------------------------
% 0.07/0.29  % (18394)Success in time 0.01 s
% 0.07/0.29  % Vampire---4.8 exiting
%------------------------------------------------------------------------------