TSTP Solution File: SYO078^5 by Vampire---4.8

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%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SYO078^5 : 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 : n004.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 09:02:52 EDT 2024

% Result   : Theorem 0.12s 0.36s
% Output   : Refutation 0.12s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   39 (   4 unt;   1 typ;   0 def)
%            Number of atoms       :  158 (  36 equ)
%            Maximal formula atoms :    6 (   4 avg)
%            Number of connectives :   83 (  33   ~;  33   |;   2   &)
%                                         (  15 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of FOOLs       :   72 (  70 fml;   2 var)
%            Number of types       :    1 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :   13 (  10 usr;  11 prp; 0-2 aty)
%            Number of functors    :    1 (   1 usr;   0 con; 1-1 aty)
%            Number of variables   :    2 (   1   !;   0   ?;   2   :)
%                                         (   1  !>;   0  ?*;   0  @-;   0  @+)

% Comments : 
%------------------------------------------------------------------------------
tff(func_def_3,type,
    vEPSILON: 
      !>[X0: $tType] : sTfun(sTfun(X0,$o),X0) ).

tff(f76,plain,
    $false,
    inference(avatar_sat_refutation,[],[f42,f45,f46,f57,f61,f66,f70,f72]) ).

tff(f72,plain,
    ( ~ spl0_2
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f71,f27,f18]) ).

tff(f18,plain,
    ( spl0_2
  <=> ( cP = $false ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

tff(f27,plain,
    ( spl0_4
  <=> ( cQ = $false ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

tff(f71,plain,
    ( ( cP != $false )
    | ~ spl0_4 ),
    inference(forward_demodulation,[],[f8,f29]) ).

tff(f29,plain,
    ( ( cQ = $false )
    | ~ spl0_4 ),
    inference(avatar_component_clause,[],[f27]) ).

tff(f8,plain,
    cP != cQ,
    inference(cnf_transformation,[],[f7]) ).

tff(f7,plain,
    ( ( cP != cR )
    & ( cQ != cR )
    & ( cP != cQ ) ),
    inference(ennf_transformation,[],[f6]) ).

tff(f6,plain,
    ~ ( ( cP = cR )
      | ( cP = cQ )
      | ( cQ = cR ) ),
    inference(fool_elimination,[],[f5]) ).

tff(f5,plain,
    ~ ( ( cQ
      <=> cP )
      | ( cP
      <=> cR )
      | ( cQ
      <=> cR ) ),
    inference(rectify,[],[f2]) ).

tff(f2,negated_conjecture,
    ~ ( ( cQ
      <=> cP )
      | ( cP
      <=> cR )
      | ( cQ
      <=> cR ) ),
    inference(negated_conjecture,[],[f1]) ).

tff(f1,conjecture,
    ( ( cQ
    <=> cP )
    | ( cP
    <=> cR )
    | ( cQ
    <=> cR ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cTHM49) ).

tff(f70,plain,
    ( spl0_6
    | spl0_5 ),
    inference(avatar_split_clause,[],[f69,f34,f39]) ).

tff(f39,plain,
    ( spl0_6
  <=> ( cR = $true ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).

tff(f34,plain,
    ( spl0_5
  <=> ( cR = $false ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).

tff(f69,plain,
    ( ( cR = $true )
    | spl0_5 ),
    inference(trivial_inequality_removal,[],[f67]) ).

tff(f67,plain,
    ( ( $false != $false )
    | ( cR = $true )
    | spl0_5 ),
    inference(superposition,[],[f36,f4]) ).

tff(f4,plain,
    ! [X0: $o] :
      ( ( $true = (X0) )
      | ( $false = (X0) ) ),
    introduced(fool_axiom,[]) ).

tff(f36,plain,
    ( ( cR != $false )
    | spl0_5 ),
    inference(avatar_component_clause,[],[f34]) ).

tff(f66,plain,
    ( ~ spl0_5
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f63,f27,f34]) ).

tff(f63,plain,
    ( ( cR != $false )
    | ~ spl0_4 ),
    inference(backward_demodulation,[],[f9,f29]) ).

tff(f9,plain,
    cQ != cR,
    inference(cnf_transformation,[],[f7]) ).

tff(f61,plain,
    ( spl0_4
    | spl0_1 ),
    inference(avatar_split_clause,[],[f60,f14,f27]) ).

tff(f14,plain,
    ( spl0_1
  <=> ( cQ = $true ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

tff(f60,plain,
    ( ( cQ = $false )
    | spl0_1 ),
    inference(trivial_inequality_removal,[],[f59]) ).

tff(f59,plain,
    ( ( $true != $true )
    | ( cQ = $false )
    | spl0_1 ),
    inference(superposition,[],[f15,f4]) ).

tff(f15,plain,
    ( ( cQ != $true )
    | spl0_1 ),
    inference(avatar_component_clause,[],[f14]) ).

tff(f57,plain,
    ( ~ spl0_1
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f52,f23,f14]) ).

tff(f23,plain,
    ( spl0_3
  <=> ( cP = $true ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

tff(f52,plain,
    ( ( cQ != $true )
    | ~ spl0_3 ),
    inference(backward_demodulation,[],[f8,f24]) ).

tff(f24,plain,
    ( ( cP = $true )
    | ~ spl0_3 ),
    inference(avatar_component_clause,[],[f23]) ).

tff(f46,plain,
    ( ~ spl0_6
    | spl0_2 ),
    inference(avatar_split_clause,[],[f44,f18,f39]) ).

tff(f44,plain,
    ( ( cP = $false )
    | ( cR != $true ) ),
    inference(superposition,[],[f10,f4]) ).

tff(f10,plain,
    cP != cR,
    inference(cnf_transformation,[],[f7]) ).

tff(f45,plain,
    ( spl0_3
    | ~ spl0_5 ),
    inference(avatar_split_clause,[],[f43,f34,f23]) ).

tff(f43,plain,
    ( ( cR != $false )
    | ( cP = $true ) ),
    inference(superposition,[],[f10,f4]) ).

tff(f42,plain,
    ( ~ spl0_6
    | spl0_4 ),
    inference(avatar_split_clause,[],[f32,f27,f39]) ).

tff(f32,plain,
    ( ( cQ = $false )
    | ( cR != $true ) ),
    inference(superposition,[],[f9,f4]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.11  % Problem    : SYO078^5 : TPTP v8.2.0. Released v4.0.0.
% 0.09/0.13  % 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
% 0.12/0.33  % Computer : n004.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit   : 300
% 0.12/0.33  % WCLimit    : 300
% 0.12/0.33  % DateTime   : Mon May 20 10:51:53 EDT 2024
% 0.12/0.33  % CPUTime    : 
% 0.12/0.33  This is a TH0_THM_NEQ_NAR problem
% 0.12/0.34  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
% 0.12/0.35  % (10542)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (3000ds/2Mi)
% 0.12/0.35  % (10541)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)
% 0.12/0.35  % (10543)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)
% 0.12/0.35  % (10545)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (3000ds/18Mi)
% 0.12/0.35  % (10546)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)
% 0.12/0.35  % (10542)Instruction limit reached!
% 0.12/0.35  % (10542)------------------------------
% 0.12/0.35  % (10542)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.12/0.35  % (10542)Termination reason: Unknown
% 0.12/0.35  % (10542)Termination phase: Saturation
% 0.12/0.35  % (10543)Instruction limit reached!
% 0.12/0.35  % (10543)------------------------------
% 0.12/0.35  % (10543)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.12/0.35  % (10543)Termination reason: Unknown
% 0.12/0.35  % (10543)Termination phase: Saturation
% 0.12/0.35  
% 0.12/0.35  % (10543)Memory used [KB]: 5500
% 0.12/0.35  % (10543)Time elapsed: 0.003 s
% 0.12/0.35  % (10543)Instructions burned: 2 (million)
% 0.12/0.35  % (10543)------------------------------
% 0.12/0.35  % (10543)------------------------------
% 0.12/0.35  
% 0.12/0.35  % (10542)Memory used [KB]: 5500
% 0.12/0.35  % (10542)Time elapsed: 0.003 s
% 0.12/0.35  % (10542)Instructions burned: 2 (million)
% 0.12/0.35  % (10542)------------------------------
% 0.12/0.35  % (10542)------------------------------
% 0.12/0.35  % (10541)First to succeed.
% 0.12/0.35  % (10544)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)
% 0.12/0.35  % (10546)Also succeeded, but the first one will report.
% 0.12/0.35  % (10544)Refutation not found, incomplete strategy
% 0.12/0.35  % (10544)------------------------------
% 0.12/0.35  % (10544)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.12/0.35  % (10544)Termination reason: Refutation not found, incomplete strategy
% 0.12/0.35  
% 0.12/0.35  
% 0.12/0.35  % (10544)Memory used [KB]: 5373
% 0.12/0.35  % (10544)Time elapsed: 0.003 s
% 0.12/0.35  % (10544)Instructions burned: 1 (million)
% 0.12/0.35  % (10544)------------------------------
% 0.12/0.35  % (10544)------------------------------
% 0.12/0.35  % (10545)Also succeeded, but the first one will report.
% 0.12/0.36  % (10541)Refutation found. Thanks to Tanya!
% 0.12/0.36  % SZS status Theorem for theBenchmark
% 0.12/0.36  % SZS output start Proof for theBenchmark
% See solution above
% 0.12/0.36  % (10541)------------------------------
% 0.12/0.36  % (10541)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.12/0.36  % (10541)Termination reason: Refutation
% 0.12/0.36  
% 0.12/0.36  % (10541)Memory used [KB]: 5500
% 0.12/0.36  % (10541)Time elapsed: 0.004 s
% 0.12/0.36  % (10541)Instructions burned: 1 (million)
% 0.12/0.36  % (10541)------------------------------
% 0.12/0.36  % (10541)------------------------------
% 0.12/0.36  % (10538)Success in time 0.015 s
% 0.12/0.36  % Vampire---4.8 exiting
%------------------------------------------------------------------------------