TSTP Solution File: SYO043^1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SYO043^1 : 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 : n023.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 09:02:25 EDT 2024

% Result   : Unsatisfiable 0.07s 0.28s
% Output   : Refutation 0.07s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :   10
% Syntax   : Number of formulae    :   47 (   4 unt;   3 typ;   0 def)
%            Number of atoms       :  249 (  40 equ;   0 cnn)
%            Maximal formula atoms :    7 (   5 avg)
%            Number of connectives :  167 (  42   ~;  44   |;   6   &;  69   @)
%                                         (   6 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   3 avg)
%            Number of types       :    1 (   0 usr)
%            Number of type conns  :    4 (   4   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   13 (  10 usr;   9 con; 0-2 aty)
%            Number of variables   :    1 (   0   ^   0   !;   0   ?;   1   :)
%                                         (   1  !>;   0  ?*;   0  @-;   0  @+)

% Comments : 
%------------------------------------------------------------------------------
thf(func_def_0,type,
    f: $o > $o ).

thf(func_def_1,type,
    q: ( $o > $o ) > $o > $o ).

thf(func_def_7,type,
    ph1: 
      !>[X0: $tType] : X0 ).

thf(f134,plain,
    $false,
    inference(avatar_sat_refutation,[],[f18,f27,f41,f53,f108,f129,f130,f133]) ).

thf(f133,plain,
    ( ~ spl0_2
    | spl0_5 ),
    inference(avatar_contradiction_clause,[],[f132]) ).

thf(f132,plain,
    ( $false
    | ~ spl0_2
    | spl0_5 ),
    inference(subsumption_resolution,[],[f63,f33]) ).

thf(f33,plain,
    ( ( $true
     != ( f @ $true ) )
    | spl0_5 ),
    inference(avatar_component_clause,[],[f32]) ).

thf(f32,plain,
    ( spl0_5
  <=> ( $true
      = ( f @ $true ) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).

thf(f63,plain,
    ( ( $true
      = ( f @ $true ) )
    | ~ spl0_2 ),
    inference(superposition,[],[f17,f5]) ).

thf(f5,plain,
    ( ( q @ f @ x )
    = $true ),
    inference(cnf_transformation,[],[f4]) ).

thf(f4,plain,
    ( ( ( f @ x )
     != ( f @ ( q @ f @ x ) ) )
    & ( ( f @ ( f @ x ) )
      = $true )
    & ( ( q @ f @ x )
      = $true ) ),
    inference(fool_elimination,[],[f3]) ).

thf(f3,plain,
    ( ( ( f @ x )
     != ( f @ ( q @ f @ x ) ) )
    & ( q @ f @ x )
    & ( f @ ( f @ x ) ) ),
    inference(rectify,[],[f1]) ).

thf(f1,axiom,
    ( ( ( f @ x )
     != ( f @ ( q @ f @ x ) ) )
    & ( q @ f @ x )
    & ( f @ ( f @ x ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',5) ).

thf(f17,plain,
    ( ( ( f @ ( q @ f @ x ) )
      = $true )
    | ~ spl0_2 ),
    inference(avatar_component_clause,[],[f15]) ).

thf(f15,plain,
    ( spl0_2
  <=> ( ( f @ ( q @ f @ x ) )
      = $true ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

thf(f130,plain,
    ( ~ spl0_6
    | spl0_1
    | ~ spl0_5 ),
    inference(avatar_split_clause,[],[f112,f32,f11,f36]) ).

thf(f36,plain,
    ( spl0_6
  <=> ( x = $true ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).

thf(f11,plain,
    ( spl0_1
  <=> ( ( f @ x )
      = $true ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

thf(f112,plain,
    ( ( x != $true )
    | spl0_1
    | ~ spl0_5 ),
    inference(trivial_inequality_removal,[],[f110]) ).

thf(f110,plain,
    ( ( x != $true )
    | ( $true != $true )
    | spl0_1
    | ~ spl0_5 ),
    inference(constrained_superposition,[],[f12,f34]) ).

thf(f34,plain,
    ( ( $true
      = ( f @ $true ) )
    | ~ spl0_5 ),
    inference(avatar_component_clause,[],[f32]) ).

thf(f12,plain,
    ( ( ( f @ x )
     != $true )
    | spl0_1 ),
    inference(avatar_component_clause,[],[f11]) ).

thf(f129,plain,
    ( spl0_6
    | spl0_1 ),
    inference(avatar_split_clause,[],[f128,f11,f36]) ).

thf(f128,plain,
    ( ( x = $true )
    | spl0_1 ),
    inference(subsumption_resolution,[],[f114,f12]) ).

thf(f114,plain,
    ( ( ( f @ x )
      = $true )
    | ( x = $true )
    | spl0_1 ),
    inference(binary_proxy_clausification,[],[f113]) ).

thf(f113,plain,
    ( ( x
     != ( f @ x ) )
    | spl0_1 ),
    inference(trivial_inequality_removal,[],[f111]) ).

thf(f111,plain,
    ( ( x
     != ( f @ x ) )
    | ( $true != $true )
    | spl0_1 ),
    inference(constrained_superposition,[],[f12,f6]) ).

thf(f6,plain,
    ( ( f @ ( f @ x ) )
    = $true ),
    inference(cnf_transformation,[],[f4]) ).

thf(f108,plain,
    ( ~ spl0_4
    | ~ spl0_5 ),
    inference(avatar_contradiction_clause,[],[f107]) ).

thf(f107,plain,
    ( $false
    | ~ spl0_4
    | ~ spl0_5 ),
    inference(subsumption_resolution,[],[f92,f5]) ).

thf(f92,plain,
    ( ( ( q @ f @ x )
     != $true )
    | ~ spl0_4
    | ~ spl0_5 ),
    inference(trivial_inequality_removal,[],[f80]) ).

thf(f80,plain,
    ( ( ( q @ f @ x )
     != $true )
    | ( $false = $true )
    | ~ spl0_4
    | ~ spl0_5 ),
    inference(constrained_superposition,[],[f34,f26]) ).

thf(f26,plain,
    ( ( ( f @ ( q @ f @ x ) )
      = $false )
    | ~ spl0_4 ),
    inference(avatar_component_clause,[],[f24]) ).

thf(f24,plain,
    ( spl0_4
  <=> ( ( f @ ( q @ f @ x ) )
      = $false ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

thf(f53,plain,
    ( ~ spl0_1
    | ~ spl0_3 ),
    inference(avatar_contradiction_clause,[],[f52]) ).

thf(f52,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_3 ),
    inference(trivial_inequality_removal,[],[f42]) ).

thf(f42,plain,
    ( ( $false = $true )
    | ~ spl0_1
    | ~ spl0_3 ),
    inference(superposition,[],[f22,f13]) ).

thf(f13,plain,
    ( ( ( f @ x )
      = $true )
    | ~ spl0_1 ),
    inference(avatar_component_clause,[],[f11]) ).

thf(f22,plain,
    ( ( ( f @ x )
      = $false )
    | ~ spl0_3 ),
    inference(avatar_component_clause,[],[f20]) ).

thf(f20,plain,
    ( spl0_3
  <=> ( ( f @ x )
      = $false ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

thf(f41,plain,
    ( spl0_5
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f40,f11,f32]) ).

thf(f40,plain,
    ( ( $true
      = ( f @ $true ) )
    | ~ spl0_1 ),
    inference(superposition,[],[f6,f13]) ).

thf(f27,plain,
    ( spl0_3
    | spl0_4 ),
    inference(avatar_split_clause,[],[f9,f24,f20]) ).

thf(f9,plain,
    ( ( ( f @ x )
      = $false )
    | ( ( f @ ( q @ f @ x ) )
      = $false ) ),
    inference(binary_proxy_clausification,[],[f7]) ).

thf(f7,plain,
    ( ( f @ x )
   != ( f @ ( q @ f @ x ) ) ),
    inference(cnf_transformation,[],[f4]) ).

thf(f18,plain,
    ( spl0_1
    | spl0_2 ),
    inference(avatar_split_clause,[],[f8,f15,f11]) ).

thf(f8,plain,
    ( ( ( f @ ( q @ f @ x ) )
      = $true )
    | ( ( f @ x )
      = $true ) ),
    inference(binary_proxy_clausification,[],[f7]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.07  % Problem    : SYO043^1 : TPTP v8.2.0. Released v4.0.0.
% 0.00/0.08  % 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
% 0.07/0.26  % Computer : n023.cluster.edu
% 0.07/0.26  % Model    : x86_64 x86_64
% 0.07/0.26  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.26  % Memory   : 8042.1875MB
% 0.07/0.26  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.07/0.26  % CPULimit   : 300
% 0.07/0.26  % WCLimit    : 300
% 0.07/0.26  % DateTime   : Mon May 20 08:54:22 EDT 2024
% 0.07/0.27  % CPUTime    : 
% 0.07/0.27  This is a TH0_UNS_EQU_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  % (13622)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  % (13619)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  % (13617)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  % (13618)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  % (13623)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (3000ds/18Mi)
% 0.07/0.28  % (13624)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  % (13621)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  % (13620)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (3000ds/2Mi)
% 0.07/0.28  % (13622)Refutation not found, incomplete strategy
% 0.07/0.28  % (13622)------------------------------
% 0.07/0.28  % (13622)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.07/0.28  % (13622)Termination reason: Refutation not found, incomplete strategy
% 0.07/0.28  
% 0.07/0.28  
% 0.07/0.28  % (13622)Memory used [KB]: 5373
% 0.07/0.28  % (13622)Time elapsed: 0.002 s
% 0.07/0.28  % (13622)Instructions burned: 1 (million)
% 0.07/0.28  % (13622)------------------------------
% 0.07/0.28  % (13622)------------------------------
% 0.07/0.28  % (13621)Refutation not found, incomplete strategy
% 0.07/0.28  % (13621)------------------------------
% 0.07/0.28  % (13621)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.07/0.28  % (13621)Termination reason: Refutation not found, incomplete strategy
% 0.07/0.28  
% 0.07/0.28  
% 0.07/0.28  % (13621)Memory used [KB]: 5373
% 0.07/0.28  % (13621)Time elapsed: 0.001 s
% 0.07/0.28  % (13621)------------------------------
% 0.07/0.28  % (13621)------------------------------
% 0.07/0.28  % (13620)Instruction limit reached!
% 0.07/0.28  % (13620)------------------------------
% 0.07/0.28  % (13620)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.07/0.28  % (13620)Termination reason: Unknown
% 0.07/0.28  % (13620)Termination phase: Saturation
% 0.07/0.28  
% 0.07/0.28  % (13620)Memory used [KB]: 5500
% 0.07/0.28  % (13620)Time elapsed: 0.002 s
% 0.07/0.28  % (13620)Instructions burned: 2 (million)
% 0.07/0.28  % (13620)------------------------------
% 0.07/0.28  % (13620)------------------------------
% 0.07/0.28  % (13623)Refutation not found, incomplete strategy
% 0.07/0.28  % (13623)------------------------------
% 0.07/0.28  % (13623)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.07/0.28  % (13623)Termination reason: Refutation not found, incomplete strategy
% 0.07/0.28  
% 0.07/0.28  
% 0.07/0.28  % (13623)Memory used [KB]: 5500
% 0.07/0.28  % (13623)Time elapsed: 0.003 s
% 0.07/0.28  % (13623)Instructions burned: 2 (million)
% 0.07/0.28  % (13623)------------------------------
% 0.07/0.28  % (13623)------------------------------
% 0.07/0.28  % (13624)Refutation not found, incomplete strategy
% 0.07/0.28  % (13624)------------------------------
% 0.07/0.28  % (13624)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.07/0.28  % (13624)Termination reason: Refutation not found, incomplete strategy
% 0.07/0.28  
% 0.07/0.28  
% 0.07/0.28  % (13624)Memory used [KB]: 5500
% 0.07/0.28  % (13624)Time elapsed: 0.003 s
% 0.07/0.28  % (13624)Instructions burned: 2 (million)
% 0.07/0.28  % (13624)------------------------------
% 0.07/0.28  % (13624)------------------------------
% 0.07/0.28  % (13619)Refutation not found, incomplete strategy
% 0.07/0.28  % (13619)------------------------------
% 0.07/0.28  % (13619)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.07/0.28  % (13619)Termination reason: Refutation not found, incomplete strategy
% 0.07/0.28  
% 0.07/0.28  
% 0.07/0.28  % (13619)Memory used [KB]: 5500
% 0.07/0.28  % (13619)Time elapsed: 0.002 s
% 0.07/0.28  % (13619)Instructions burned: 2 (million)
% 0.07/0.28  % (13619)------------------------------
% 0.07/0.28  % (13619)------------------------------
% 0.07/0.28  % (13618)Instruction limit reached!
% 0.07/0.28  % (13618)------------------------------
% 0.07/0.28  % (13618)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.07/0.28  % (13618)Termination reason: Unknown
% 0.07/0.28  % (13618)Termination phase: Saturation
% 0.07/0.28  
% 0.07/0.28  % (13618)Memory used [KB]: 5500
% 0.07/0.28  % (13618)Time elapsed: 0.003 s
% 0.07/0.28  % (13618)Instructions burned: 4 (million)
% 0.07/0.28  % (13618)------------------------------
% 0.07/0.28  % (13618)------------------------------
% 0.07/0.28  % (13617)First to succeed.
% 0.07/0.28  % (13617)Refutation found. Thanks to Tanya!
% 0.07/0.28  % SZS status Unsatisfiable for theBenchmark
% 0.07/0.28  % SZS output start Proof for theBenchmark
% See solution above
% 0.07/0.28  % (13617)------------------------------
% 0.07/0.28  % (13617)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.07/0.28  % (13617)Termination reason: Refutation
% 0.07/0.28  
% 0.07/0.28  % (13617)Memory used [KB]: 5500
% 0.07/0.28  % (13617)Time elapsed: 0.004 s
% 0.07/0.28  % (13617)Instructions burned: 4 (million)
% 0.07/0.28  % (13617)------------------------------
% 0.07/0.28  % (13617)------------------------------
% 0.07/0.28  % (13616)Success in time 0.004 s
% 0.07/0.28  % Vampire---4.8 exiting
%------------------------------------------------------------------------------