TSTP Solution File: SYO079^5 by Vampire---4.8

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%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SYO079^5 : 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 : n025.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 0.15s 0.40s
% Output   : Refutation 0.15s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   59 (   1 unt;   0 typ;   0 def)
%            Number of atoms       :  324 (  71 equ)
%            Maximal formula atoms :    8 (   5 avg)
%            Number of connectives :  193 (  70   ~;  91   |;   7   &)
%                                         (  20 <=>;   4  =>;   0  <=;   1 <~>)
%            Maximal formula depth :    6 (   3 avg)
%            Maximal term depth    :    0 (   0 avg)
%            Number of FOOLs       :  142 ( 142 fml;   0 var)
%            Number of types       :    0 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :   11 (   8 usr;  10 prp; 0-2 aty)
%            Number of functors    :    0 (   0 usr;   0 con; --- aty)
%            Number of variables   :    0 (   0   !;   0   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
tff(f72,plain,
    $false,
    inference(avatar_sat_refutation,[],[f21,f30,f31,f32,f40,f51,f56,f62,f67,f71]) ).

tff(f71,plain,
    ( ~ spl0_2
    | ~ spl0_4
    | ~ spl0_5 ),
    inference(avatar_contradiction_clause,[],[f70]) ).

tff(f70,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_4
    | ~ spl0_5 ),
    inference(trivial_inequality_removal,[],[f69]) ).

tff(f69,plain,
    ( ( $false = $true )
    | ~ spl0_2
    | ~ spl0_4
    | ~ spl0_5 ),
    inference(backward_demodulation,[],[f28,f68]) ).

tff(f68,plain,
    ( ( cR = $false )
    | ~ spl0_2
    | ~ spl0_5 ),
    inference(backward_demodulation,[],[f19,f55]) ).

tff(f55,plain,
    ( ( cQ = $false )
    | ~ spl0_5 ),
    inference(avatar_component_clause,[],[f53]) ).

tff(f53,plain,
    ( spl0_5
  <=> ( cQ = $false ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).

tff(f19,plain,
    ( ( cQ = cR )
    | ~ spl0_2 ),
    inference(avatar_component_clause,[],[f18]) ).

tff(f18,plain,
    ( spl0_2
  <=> ( cQ = cR ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

tff(f28,plain,
    ( ( cR = $true )
    | ~ spl0_4 ),
    inference(avatar_component_clause,[],[f27]) ).

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

tff(f67,plain,
    ( spl0_5
    | spl0_1
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f66,f23,f14,f53]) ).

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

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

tff(f66,plain,
    ( ( cQ = $false )
    | spl0_1
    | ~ spl0_3 ),
    inference(backward_demodulation,[],[f25,f64]) ).

tff(f64,plain,
    ( ( cP = $false )
    | spl0_1 ),
    inference(trivial_inequality_removal,[],[f63]) ).

tff(f63,plain,
    ( ( $true != $true )
    | ( cP = $false )
    | spl0_1 ),
    inference(fool_paramodulation,[],[f16]) ).

tff(f16,plain,
    ( ( cP != $true )
    | spl0_1 ),
    inference(avatar_component_clause,[],[f14]) ).

tff(f25,plain,
    ( ( cP = cQ )
    | ~ spl0_3 ),
    inference(avatar_component_clause,[],[f23]) ).

tff(f62,plain,
    ( ~ spl0_1
    | ~ spl0_3
    | ~ spl0_5 ),
    inference(avatar_contradiction_clause,[],[f61]) ).

tff(f61,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_5 ),
    inference(trivial_inequality_removal,[],[f60]) ).

tff(f60,plain,
    ( ( $false = $true )
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_5 ),
    inference(backward_demodulation,[],[f15,f59]) ).

tff(f59,plain,
    ( ( cP = $false )
    | ~ spl0_3
    | ~ spl0_5 ),
    inference(backward_demodulation,[],[f25,f55]) ).

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

tff(f56,plain,
    ( ~ spl0_4
    | spl0_5
    | spl0_2 ),
    inference(avatar_split_clause,[],[f43,f18,f53,f27]) ).

tff(f43,plain,
    ( ( cQ = $false )
    | ( cR != $true )
    | spl0_2 ),
    inference(fool_paramodulation,[],[f20]) ).

tff(f20,plain,
    ( ( cQ != cR )
    | spl0_2 ),
    inference(avatar_component_clause,[],[f18]) ).

tff(f51,plain,
    ( ~ spl0_1
    | spl0_2
    | spl0_3
    | spl0_4 ),
    inference(avatar_contradiction_clause,[],[f50]) ).

tff(f50,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | spl0_3
    | spl0_4 ),
    inference(subsumption_resolution,[],[f49,f46]) ).

tff(f46,plain,
    ( ( cQ != $false )
    | spl0_2
    | spl0_4 ),
    inference(backward_demodulation,[],[f20,f45]) ).

tff(f45,plain,
    ( ( cR = $false )
    | spl0_4 ),
    inference(trivial_inequality_removal,[],[f44]) ).

tff(f44,plain,
    ( ( cR = $false )
    | ( $true != $true )
    | spl0_4 ),
    inference(fool_paramodulation,[],[f29]) ).

tff(f29,plain,
    ( ( cR != $true )
    | spl0_4 ),
    inference(avatar_component_clause,[],[f27]) ).

tff(f49,plain,
    ( ( cQ = $false )
    | ~ spl0_1
    | spl0_3 ),
    inference(trivial_inequality_removal,[],[f48]) ).

tff(f48,plain,
    ( ( $true != $true )
    | ( cQ = $false )
    | ~ spl0_1
    | spl0_3 ),
    inference(fool_paramodulation,[],[f41]) ).

tff(f41,plain,
    ( ( cQ != $true )
    | ~ spl0_1
    | spl0_3 ),
    inference(backward_demodulation,[],[f24,f15]) ).

tff(f24,plain,
    ( ( cP != cQ )
    | spl0_3 ),
    inference(avatar_component_clause,[],[f23]) ).

tff(f40,plain,
    ( spl0_1
    | ~ spl0_2
    | spl0_3
    | spl0_4 ),
    inference(avatar_contradiction_clause,[],[f39]) ).

tff(f39,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | spl0_3
    | spl0_4 ),
    inference(subsumption_resolution,[],[f38,f35]) ).

tff(f35,plain,
    ( ( cQ != $false )
    | spl0_1
    | spl0_3 ),
    inference(backward_demodulation,[],[f24,f34]) ).

tff(f34,plain,
    ( ( cP = $false )
    | spl0_1 ),
    inference(trivial_inequality_removal,[],[f33]) ).

tff(f33,plain,
    ( ( $true != $true )
    | ( cP = $false )
    | spl0_1 ),
    inference(fool_paramodulation,[],[f16]) ).

tff(f38,plain,
    ( ( cQ = $false )
    | ~ spl0_2
    | spl0_4 ),
    inference(subsumption_resolution,[],[f37,f29]) ).

tff(f37,plain,
    ( ( cR = $true )
    | ( cQ = $false )
    | ~ spl0_2 ),
    inference(fool_paramodulation,[],[f19]) ).

tff(f32,plain,
    ( spl0_1
    | spl0_2 ),
    inference(avatar_split_clause,[],[f9,f18,f14]) ).

tff(f9,plain,
    ( ( cP = $true )
    | ( cQ = cR ) ),
    inference(cnf_transformation,[],[f8]) ).

tff(f8,plain,
    ( ( ( cP = cQ )
      | ( cR != $true ) )
    & ( ( cR = $true )
      | ( cP != cQ ) )
    & ( ( cQ != cR )
      | ( cP != $true ) )
    & ( ( cQ = cR )
      | ( cP = $true ) ) ),
    inference(flattening,[],[f7]) ).

tff(f7,plain,
    ( ( ( cP = cQ )
      | ( cR != $true ) )
    & ( ( cR = $true )
      | ( cP != cQ ) )
    & ( ( cQ != cR )
      | ( cP != $true ) )
    & ( ( cQ = cR )
      | ( cP = $true ) ) ),
    inference(nnf_transformation,[],[f6]) ).

tff(f6,plain,
    ( ( ( cP = cQ )
    <=> ( cR = $true ) )
    & ( ( cP = $true )
    <~> ( cQ = cR ) ) ),
    inference(ennf_transformation,[],[f5]) ).

tff(f5,plain,
    ~ ( ( ( cP = cQ )
      <=> ( cR = $true ) )
     => ( ( cQ = cR )
      <=> ( cP = $true ) ) ),
    inference(fool_elimination,[],[f4]) ).

tff(f4,plain,
    ~ ( ( cR
      <=> ( cP
        <=> cQ ) )
     => ( cP
      <=> ( cR
        <=> cQ ) ) ),
    inference(rectify,[],[f2]) ).

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

tff(f1,conjecture,
    ( ( cR
    <=> ( cP
      <=> cQ ) )
   => ( cP
    <=> ( cR
      <=> cQ ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cTHM50_A) ).

tff(f31,plain,
    ( spl0_4
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f11,f23,f27]) ).

tff(f11,plain,
    ( ( cR = $true )
    | ( cP != cQ ) ),
    inference(cnf_transformation,[],[f8]) ).

tff(f30,plain,
    ( spl0_3
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f12,f27,f23]) ).

tff(f12,plain,
    ( ( cR != $true )
    | ( cP = cQ ) ),
    inference(cnf_transformation,[],[f8]) ).

tff(f21,plain,
    ( ~ spl0_1
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f10,f18,f14]) ).

tff(f10,plain,
    ( ( cP != $true )
    | ( cQ != cR ) ),
    inference(cnf_transformation,[],[f8]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13  % Problem    : SYO079^5 : TPTP v8.2.0. Released v4.0.0.
% 0.08/0.14  % 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
% 0.15/0.36  % Computer : n025.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit   : 300
% 0.15/0.36  % WCLimit    : 300
% 0.15/0.36  % DateTime   : Mon May 20 10:29:38 EDT 2024
% 0.15/0.36  % CPUTime    : 
% 0.15/0.36  This is a TH0_THM_NEQ_NAR problem
% 0.15/0.36  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
% 0.15/0.40  % (5897)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 (2999ds/4Mi)
% 0.15/0.40  % (5896)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (2999ds/183Mi)
% 0.15/0.40  % (5899)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.15/0.40  % (5900)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 (2999ds/2Mi)
% 0.15/0.40  % (5898)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 (2999ds/27Mi)
% 0.15/0.40  % (5901)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 (2999ds/275Mi)
% 0.15/0.40  % (5902)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (2999ds/18Mi)
% 0.15/0.40  % (5903)lrs+10_1:1_bet=on:cnfonf=off:fd=off:hud=5:inj=on:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.15/0.40  % (5901)Refutation not found, incomplete strategy
% 0.15/0.40  % (5901)------------------------------
% 0.15/0.40  % (5901)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.40  % (5901)Termination reason: Refutation not found, incomplete strategy
% 0.15/0.40  
% 0.15/0.40  
% 0.15/0.40  % (5901)Memory used [KB]: 5500
% 0.15/0.40  % (5901)Time elapsed: 0.004 s
% 0.15/0.40  % (5901)Instructions burned: 1 (million)
% 0.15/0.40  % (5901)------------------------------
% 0.15/0.40  % (5901)------------------------------
% 0.15/0.40  % (5899)Instruction limit reached!
% 0.15/0.40  % (5899)------------------------------
% 0.15/0.40  % (5899)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.40  % (5899)Termination reason: Unknown
% 0.15/0.40  % (5899)Termination phase: Saturation
% 0.15/0.40  
% 0.15/0.40  % (5900)Instruction limit reached!
% 0.15/0.40  % (5900)------------------------------
% 0.15/0.40  % (5900)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.40  % (5899)Memory used [KB]: 5500
% 0.15/0.40  % (5899)Time elapsed: 0.005 s
% 0.15/0.40  % (5899)Instructions burned: 2 (million)
% 0.15/0.40  % (5899)------------------------------
% 0.15/0.40  % (5899)------------------------------
% 0.15/0.40  % (5900)Termination reason: Unknown
% 0.15/0.40  % (5900)Termination phase: Saturation
% 0.15/0.40  
% 0.15/0.40  % (5900)Memory used [KB]: 5500
% 0.15/0.40  % (5900)Time elapsed: 0.005 s
% 0.15/0.40  % (5900)Instructions burned: 2 (million)
% 0.15/0.40  % (5900)------------------------------
% 0.15/0.40  % (5900)------------------------------
% 0.15/0.40  % (5897)First to succeed.
% 0.15/0.40  % (5902)Also succeeded, but the first one will report.
% 0.15/0.40  % (5903)Instruction limit reached!
% 0.15/0.40  % (5903)------------------------------
% 0.15/0.40  % (5903)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.40  % (5903)Termination reason: Unknown
% 0.15/0.40  % (5903)Termination phase: Saturation
% 0.15/0.40  
% 0.15/0.40  % (5903)Memory used [KB]: 5500
% 0.15/0.40  % (5903)Time elapsed: 0.006 s
% 0.15/0.40  % (5903)Instructions burned: 3 (million)
% 0.15/0.40  % (5903)------------------------------
% 0.15/0.40  % (5903)------------------------------
% 0.15/0.40  % (5897)Refutation found. Thanks to Tanya!
% 0.15/0.40  % SZS status Theorem for theBenchmark
% 0.15/0.40  % SZS output start Proof for theBenchmark
% See solution above
% 0.15/0.40  % (5897)------------------------------
% 0.15/0.40  % (5897)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.40  % (5897)Termination reason: Refutation
% 0.15/0.40  
% 0.15/0.40  % (5897)Memory used [KB]: 5500
% 0.15/0.40  % (5897)Time elapsed: 0.007 s
% 0.15/0.40  % (5897)Instructions burned: 2 (million)
% 0.15/0.40  % (5897)------------------------------
% 0.15/0.40  % (5897)------------------------------
% 0.15/0.40  % (5895)Success in time 0.03 s
% 0.15/0.40  % Vampire---4.8 exiting
%------------------------------------------------------------------------------