TSTP Solution File: SEV445^1 by Vampire---4.8

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%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SEV445^1 : TPTP v8.1.2. Released v7.0.0.
% 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 : n031.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 : Sun May  5 09:43:13 EDT 2024

% Result   : Theorem 0.14s 0.38s
% Output   : Refutation 0.14s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   24 (  12 unt;   5 typ;   0 def)
%            Number of atoms       :   58 (  16 equ;   0 cnn)
%            Maximal formula atoms :    2 (   3 avg)
%            Number of connectives :   71 (  11   ~;   0   |;   0   &;  59   @)
%                                         (   0 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   4 avg)
%            Number of types       :    2 (   1 usr)
%            Number of type conns  :    8 (   8   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    7 (   4 usr;   3 con; 0-3 aty)
%            Number of variables   :   35 (   5   ^  23   !;   4   ?;  35   :)
%                                         (   3  !>;   0  ?*;   0  @-;   0  @+)

% Comments : 
%------------------------------------------------------------------------------
thf(type_def_6,type,
    sK0: $tType ).

thf(func_def_0,type,
    'const/sets/UNIV': 
      !>[X0: $tType] : ( X0 > $o ) ).

thf(func_def_1,type,
    'const/sets/IN': 
      !>[X0: $tType] : ( X0 > ( X0 > $o ) > $o ) ).

thf(func_def_6,type,
    sK1: sK0 ).

thf(func_def_9,type,
    ph3: 
      !>[X0: $tType] : X0 ).

thf(f24,plain,
    $false,
    inference(trivial_inequality_removal,[],[f23]) ).

thf(f23,plain,
    $true != $true,
    inference(beta_eta_normalization,[],[f22]) ).

thf(f22,plain,
    ( $true
   != ( ^ [Y0: sK0] : $true
      @ sK1 ) ),
    inference(superposition,[],[f17,f14]) ).

thf(f14,plain,
    ! [X0: $tType,X2: X0,X1: X0 > $o] :
      ( ( 'const/sets/IN' @ X0 @ X2 @ X1 )
      = ( X1 @ X2 ) ),
    inference(cnf_transformation,[],[f7]) ).

thf(f7,plain,
    ! [X0: $tType,X1: X0 > $o,X2: X0] :
      ( ( 'const/sets/IN' @ X0 @ X2 @ X1 )
      = ( X1 @ X2 ) ),
    inference(fool_elimination,[],[f6]) ).

thf(f6,plain,
    ! [X0: $tType,X1: X0 > $o,X2: X0] :
      ( ( 'const/sets/IN' @ X0 @ X2 @ X1 )
      = ( X1 @ X2 ) ),
    inference(rectify,[],[f2]) ).

thf(f2,axiom,
    ! [X0: $tType,X2: X0 > $o,X1: X0] :
      ( ( 'const/sets/IN' @ X0 @ X1 @ X2 )
      = ( X2 @ X1 ) ),
    file('/export/starexec/sandbox/tmp/tmp.REH8yw4moT/Vampire---4.8_13148','thm/sets/IN_') ).

thf(f17,plain,
    ( $true
   != ( 'const/sets/IN' @ sK0 @ sK1
      @ ^ [Y0: sK0] : $true ) ),
    inference(definition_unfolding,[],[f16,f15]) ).

thf(f15,plain,
    ! [X0: $tType] :
      ( 'const/sets/UNIV'
      @ ( X0
        = ( ^ [Y0: X0] : $true ) ) ),
    inference(cnf_transformation,[],[f8]) ).

thf(f8,plain,
    ! [X0: $tType] :
      ( 'const/sets/UNIV'
      @ ( X0
        = ( ^ [Y0: X0] : $true ) ) ),
    inference(fool_elimination,[],[f1]) ).

thf(f1,axiom,
    ! [X0: $tType] :
      ( 'const/sets/UNIV'
      @ ( X0
        = ( ^ [X1: X0] : $true ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.REH8yw4moT/Vampire---4.8_13148','thm/sets/UNIV_') ).

thf(f16,plain,
    ( $true
   != ( 'const/sets/IN' @ sK0 @ sK1 @ 'const/sets/UNIV' @ sK0 ) ),
    inference(cnf_transformation,[],[f13]) ).

thf(f13,plain,
    ( $true
   != ( 'const/sets/IN' @ sK0 @ sK1 @ 'const/sets/UNIV' @ sK0 ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f11,f12]) ).

thf(f12,plain,
    ( ? [X0: $tType,X1: X0] :
        ( ( 'const/sets/IN' @ X0 @ X1 @ 'const/sets/UNIV' @ X0 )
       != $true )
   => ( $true
     != ( 'const/sets/IN' @ sK0 @ sK1 @ 'const/sets/UNIV' @ sK0 ) ) ),
    introduced(choice_axiom,[]) ).

thf(f11,plain,
    ? [X0: $tType,X1: X0] :
      ( ( 'const/sets/IN' @ X0 @ X1 @ 'const/sets/UNIV' @ X0 )
     != $true ),
    inference(ennf_transformation,[],[f10]) ).

thf(f10,plain,
    ~ ! [X0: $tType,X1: X0] :
        ( ( 'const/sets/IN' @ X0 @ X1 @ 'const/sets/UNIV' @ X0 )
        = $true ),
    inference(fool_elimination,[],[f9]) ).

thf(f9,plain,
    ~ ! [X0: $tType,X1: X0] : ( 'const/sets/IN' @ X0 @ X1 @ 'const/sets/UNIV' @ X0 ),
    inference(rectify,[],[f4]) ).

thf(f4,negated_conjecture,
    ~ ! [X0: $tType,X1: X0] : ( 'const/sets/IN' @ X0 @ X1 @ 'const/sets/UNIV' @ X0 ),
    inference(negated_conjecture,[],[f3]) ).

thf(f3,conjecture,
    ! [X0: $tType,X1: X0] : ( 'const/sets/IN' @ X0 @ X1 @ 'const/sets/UNIV' @ X0 ),
    file('/export/starexec/sandbox/tmp/tmp.REH8yw4moT/Vampire---4.8_13148','thm/sets/IN_UNIV_') ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : SEV445^1 : TPTP v8.1.2. Released v7.0.0.
% 0.07/0.14  % 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
% 0.14/0.35  % Computer : n031.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit   : 300
% 0.14/0.35  % WCLimit    : 300
% 0.14/0.35  % DateTime   : Fri May  3 12:33:32 EDT 2024
% 0.14/0.35  % CPUTime    : 
% 0.14/0.35  This is a TH1_THM_EQU_NAR problem
% 0.14/0.36  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/tmp/tmp.REH8yw4moT/Vampire---4.8_13148
% 0.14/0.37  % (13263)lrs+10_1:1_bet=on:cnfonf=off:fd=off:hud=5:inj=on:i=3:si=on:rtra=on_0 on Vampire---4 for (3000ds/3Mi)
% 0.14/0.37  % (13262)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on Vampire---4 for (3000ds/18Mi)
% 0.14/0.37  % (13257)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 Vampire---4 for (3000ds/4Mi)
% 0.14/0.37  % (13258)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 Vampire---4 for (3000ds/27Mi)
% 0.14/0.37  % (13260)lrs+1002_1:128_aac=none:au=on:cnfonf=lazy_not_gen_be_off:sos=all:i=2:si=on:rtra=on_0 on Vampire---4 for (3000ds/2Mi)
% 0.14/0.38  % (13259)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on Vampire---4 for (3000ds/2Mi)
% 0.14/0.38  % (13263)First to succeed.
% 0.14/0.38  % Exception at run slice level
% 0.14/0.38  User error: Vampire does not support full TH1. This benchmark is either outside of the TH1 fragment, or outside of the fragment supported by Vampire
% 0.14/0.38  % (13261)lrs+1002_1:1_au=on:bd=off:e2e=on:sd=2:sos=on:ss=axioms:i=275:si=on:rtra=on_0 on Vampire---4 for (3000ds/275Mi)
% 0.14/0.38  % (13258)Also succeeded, but the first one will report.
% 0.14/0.38  % (13259)Instruction limit reached!
% 0.14/0.38  % (13259)------------------------------
% 0.14/0.38  % (13259)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.38  % (13259)Termination reason: Unknown
% 0.14/0.38  % (13259)Termination phase: Saturation
% 0.14/0.38  
% 0.14/0.38  % (13263)Refutation found. Thanks to Tanya!
% 0.14/0.38  % SZS status Theorem for Vampire---4
% 0.14/0.38  % SZS output start Proof for Vampire---4
% See solution above
% 0.14/0.38  % (13263)------------------------------
% 0.14/0.38  % (13263)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.38  % (13263)Termination reason: Refutation
% 0.14/0.38  
% 0.14/0.38  % (13263)Memory used [KB]: 5500
% 0.14/0.38  % (13263)Time elapsed: 0.004 s
% 0.14/0.38  % (13263)Instructions burned: 2 (million)
% 0.14/0.38  % (13263)------------------------------
% 0.14/0.38  % (13263)------------------------------
% 0.14/0.38  % (13255)Success in time 0.004 s
% 0.14/0.38  % Vampire---4.8 exiting
%------------------------------------------------------------------------------