TSTP Solution File: NUM792^1 by Vampire---4.8

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%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : NUM792^1 : TPTP v8.2.0. Released v3.7.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n011.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 01:46:04 EDT 2024

% Result   : Theorem 0.16s 0.39s
% Output   : Refutation 0.16s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   14
%            Number of leaves      :   16
% Syntax   : Number of formulae    :   58 (  19 unt;   9 typ;   0 def)
%            Number of atoms       :  209 (  61 equ;   0 cnn)
%            Maximal formula atoms :    3 (   4 avg)
%            Number of connectives :  228 (  28   ~;  23   |;   0   &; 162   @)
%                                         (   0 <=>;  15  =>;   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     :   10 (   7 usr;   5 con; 0-2 aty)
%            Number of variables   :   57 (   0   ^  57   !;   0   ?;  57   :)

% Comments : 
%------------------------------------------------------------------------------
thf(type_def_5,type,
    rat: $tType ).

thf(func_def_0,type,
    rat: $tType ).

thf(func_def_1,type,
    x0: rat ).

thf(func_def_2,type,
    y0: rat ).

thf(func_def_3,type,
    z0: rat ).

thf(func_def_4,type,
    moreis: rat > rat > $o ).

thf(func_def_6,type,
    more: rat > rat > $o ).

thf(func_def_7,type,
    less: rat > rat > $o ).

thf(func_def_8,type,
    lessis: rat > rat > $o ).

thf(f52,plain,
    $false,
    inference(subsumption_resolution,[],[f51,f38]) ).

thf(f38,plain,
    ( ( more @ x0 @ z0 )
   != $true ),
    inference(cnf_transformation,[],[f24]) ).

thf(f24,plain,
    ( ( more @ x0 @ z0 )
   != $true ),
    inference(flattening,[],[f19]) ).

thf(f19,plain,
    ( ( more @ x0 @ z0 )
   != $true ),
    inference(fool_elimination,[],[f18]) ).

thf(f18,plain,
    ~ ( more @ x0 @ z0 ),
    inference(rectify,[],[f8]) ).

thf(f8,negated_conjecture,
    ~ ( more @ x0 @ z0 ),
    inference(negated_conjecture,[],[f7]) ).

thf(f7,conjecture,
    more @ x0 @ z0,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',satz87c) ).

thf(f51,plain,
    ( ( more @ x0 @ z0 )
    = $true ),
    inference(trivial_inequality_removal,[],[f50]) ).

thf(f50,plain,
    ( ( ( more @ x0 @ z0 )
      = $true )
    | ( $true != $true ) ),
    inference(superposition,[],[f33,f49]) ).

thf(f49,plain,
    ( $true
    = ( less @ z0 @ x0 ) ),
    inference(trivial_inequality_removal,[],[f48]) ).

thf(f48,plain,
    ( ( $true
      = ( less @ z0 @ x0 ) )
    | ( $true != $true ) ),
    inference(superposition,[],[f47,f41]) ).

thf(f41,plain,
    ( $true
    = ( less @ z0 @ y0 ) ),
    inference(trivial_inequality_removal,[],[f40]) ).

thf(f40,plain,
    ( ( $true != $true )
    | ( $true
      = ( less @ z0 @ y0 ) ) ),
    inference(superposition,[],[f34,f37]) ).

thf(f37,plain,
    ( ( more @ y0 @ z0 )
    = $true ),
    inference(cnf_transformation,[],[f11]) ).

thf(f11,plain,
    ( ( more @ y0 @ z0 )
    = $true ),
    inference(fool_elimination,[],[f10]) ).

thf(f10,plain,
    more @ y0 @ z0,
    inference(rectify,[],[f2]) ).

thf(f2,axiom,
    more @ y0 @ z0,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',n) ).

thf(f34,plain,
    ! [X0: rat,X1: rat] :
      ( ( ( more @ X1 @ X0 )
       != $true )
      | ( ( less @ X0 @ X1 )
        = $true ) ),
    inference(cnf_transformation,[],[f29]) ).

thf(f29,plain,
    ! [X0: rat,X1: rat] :
      ( ( ( more @ X1 @ X0 )
       != $true )
      | ( ( less @ X0 @ X1 )
        = $true ) ),
    inference(ennf_transformation,[],[f21]) ).

thf(f21,plain,
    ! [X1: rat,X0: rat] :
      ( ( ( more @ X1 @ X0 )
        = $true )
     => ( ( less @ X0 @ X1 )
        = $true ) ),
    inference(fool_elimination,[],[f20]) ).

thf(f20,plain,
    ! [X0: rat,X1: rat] :
      ( ( more @ X1 @ X0 )
     => ( less @ X0 @ X1 ) ),
    inference(rectify,[],[f5]) ).

thf(f5,axiom,
    ! [X1: rat,X0: rat] :
      ( ( more @ X0 @ X1 )
     => ( less @ X1 @ X0 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',satz82) ).

thf(f47,plain,
    ! [X0: rat] :
      ( ( $true
       != ( less @ X0 @ y0 ) )
      | ( $true
        = ( less @ X0 @ x0 ) ) ),
    inference(trivial_inequality_removal,[],[f46]) ).

thf(f46,plain,
    ! [X0: rat] :
      ( ( $true
       != ( less @ X0 @ y0 ) )
      | ( $true != $true )
      | ( $true
        = ( less @ X0 @ x0 ) ) ),
    inference(superposition,[],[f35,f45]) ).

thf(f45,plain,
    ( $true
    = ( lessis @ y0 @ x0 ) ),
    inference(trivial_inequality_removal,[],[f44]) ).

thf(f44,plain,
    ( ( $true != $true )
    | ( $true
      = ( lessis @ y0 @ x0 ) ) ),
    inference(superposition,[],[f39,f36]) ).

thf(f36,plain,
    ( ( moreis @ x0 @ y0 )
    = $true ),
    inference(cnf_transformation,[],[f23]) ).

thf(f23,plain,
    ( ( moreis @ x0 @ y0 )
    = $true ),
    inference(fool_elimination,[],[f22]) ).

thf(f22,plain,
    moreis @ x0 @ y0,
    inference(rectify,[],[f1]) ).

thf(f1,axiom,
    moreis @ x0 @ y0,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m) ).

thf(f39,plain,
    ! [X0: rat,X1: rat] :
      ( ( $true
       != ( moreis @ X1 @ X0 ) )
      | ( $true
        = ( lessis @ X0 @ X1 ) ) ),
    inference(cnf_transformation,[],[f32]) ).

thf(f32,plain,
    ! [X0: rat,X1: rat] :
      ( ( $true
        = ( lessis @ X0 @ X1 ) )
      | ( $true
       != ( moreis @ X1 @ X0 ) ) ),
    inference(rectify,[],[f28]) ).

thf(f28,plain,
    ! [X1: rat,X0: rat] :
      ( ( ( lessis @ X1 @ X0 )
        = $true )
      | ( ( moreis @ X0 @ X1 )
       != $true ) ),
    inference(ennf_transformation,[],[f17]) ).

thf(f17,plain,
    ! [X1: rat,X0: rat] :
      ( ( ( moreis @ X0 @ X1 )
        = $true )
     => ( ( lessis @ X1 @ X0 )
        = $true ) ),
    inference(fool_elimination,[],[f16]) ).

thf(f16,plain,
    ! [X0: rat,X1: rat] :
      ( ( moreis @ X0 @ X1 )
     => ( lessis @ X1 @ X0 ) ),
    inference(rectify,[],[f6]) ).

thf(f6,axiom,
    ! [X0: rat,X1: rat] :
      ( ( moreis @ X0 @ X1 )
     => ( lessis @ X1 @ X0 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',satz84) ).

thf(f35,plain,
    ! [X2: rat,X0: rat,X1: rat] :
      ( ( $true
       != ( lessis @ X0 @ X1 ) )
      | ( $true
       != ( less @ X2 @ X0 ) )
      | ( $true
        = ( less @ X2 @ X1 ) ) ),
    inference(cnf_transformation,[],[f31]) ).

thf(f31,plain,
    ! [X0: rat,X1: rat,X2: rat] :
      ( ( $true
       != ( less @ X2 @ X0 ) )
      | ( $true
        = ( less @ X2 @ X1 ) )
      | ( $true
       != ( lessis @ X0 @ X1 ) ) ),
    inference(rectify,[],[f26]) ).

thf(f26,plain,
    ! [X1: rat,X0: rat,X2: rat] :
      ( ( $true
       != ( less @ X2 @ X1 ) )
      | ( $true
        = ( less @ X2 @ X0 ) )
      | ( ( lessis @ X1 @ X0 )
       != $true ) ),
    inference(flattening,[],[f25]) ).

thf(f25,plain,
    ! [X2: rat,X1: rat,X0: rat] :
      ( ( $true
        = ( less @ X2 @ X0 ) )
      | ( ( lessis @ X1 @ X0 )
       != $true )
      | ( $true
       != ( less @ X2 @ X1 ) ) ),
    inference(ennf_transformation,[],[f15]) ).

thf(f15,plain,
    ! [X2: rat,X1: rat,X0: rat] :
      ( ( $true
        = ( less @ X2 @ X1 ) )
     => ( ( ( lessis @ X1 @ X0 )
          = $true )
       => ( $true
          = ( less @ X2 @ X0 ) ) ) ),
    inference(fool_elimination,[],[f14]) ).

thf(f14,plain,
    ! [X0: rat,X1: rat,X2: rat] :
      ( ( less @ X2 @ X1 )
     => ( ( lessis @ X1 @ X0 )
       => ( less @ X2 @ X0 ) ) ),
    inference(rectify,[],[f4]) ).

thf(f4,axiom,
    ! [X2: rat,X1: rat,X0: rat] :
      ( ( less @ X0 @ X1 )
     => ( ( lessis @ X1 @ X2 )
       => ( less @ X0 @ X2 ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',satz87b) ).

thf(f33,plain,
    ! [X0: rat,X1: rat] :
      ( ( ( less @ X1 @ X0 )
       != $true )
      | ( ( more @ X0 @ X1 )
        = $true ) ),
    inference(cnf_transformation,[],[f30]) ).

thf(f30,plain,
    ! [X0: rat,X1: rat] :
      ( ( ( more @ X0 @ X1 )
        = $true )
      | ( ( less @ X1 @ X0 )
       != $true ) ),
    inference(rectify,[],[f27]) ).

thf(f27,plain,
    ! [X1: rat,X0: rat] :
      ( ( ( more @ X1 @ X0 )
        = $true )
      | ( ( less @ X0 @ X1 )
       != $true ) ),
    inference(ennf_transformation,[],[f13]) ).

thf(f13,plain,
    ! [X0: rat,X1: rat] :
      ( ( ( less @ X0 @ X1 )
        = $true )
     => ( ( more @ X1 @ X0 )
        = $true ) ),
    inference(fool_elimination,[],[f12]) ).

thf(f12,plain,
    ! [X0: rat,X1: rat] :
      ( ( less @ X0 @ X1 )
     => ( more @ X1 @ X0 ) ),
    inference(rectify,[],[f3]) ).

thf(f3,axiom,
    ! [X0: rat,X1: rat] :
      ( ( less @ X0 @ X1 )
     => ( more @ X1 @ X0 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',satz83) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem    : NUM792^1 : TPTP v8.2.0. Released v3.7.0.
% 0.13/0.14  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.16/0.37  % Computer : n011.cluster.edu
% 0.16/0.37  % Model    : x86_64 x86_64
% 0.16/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.37  % Memory   : 8042.1875MB
% 0.16/0.37  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.37  % CPULimit   : 300
% 0.16/0.37  % WCLimit    : 300
% 0.16/0.37  % DateTime   : Mon May 20 06:16:53 EDT 2024
% 0.16/0.37  % CPUTime    : 
% 0.16/0.37  This is a TH0_THM_NEQ_NAR problem
% 0.16/0.37  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/sandbox2/benchmark/theBenchmark.p
% 0.16/0.39  % (18472)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (3000ds/2Mi)
% 0.16/0.39  % (18469)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (3000ds/183Mi)
% 0.16/0.39  % (18474)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)
% 0.16/0.39  % (18473)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)
% 0.16/0.39  % (18470)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)
% 0.16/0.39  % (18471)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)
% 0.16/0.39  % (18475)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (3000ds/18Mi)
% 0.16/0.39  % (18476)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)
% 0.16/0.39  % (18472)Instruction limit reached!
% 0.16/0.39  % (18472)------------------------------
% 0.16/0.39  % (18472)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.16/0.39  % (18472)Termination reason: Unknown
% 0.16/0.39  % (18472)Termination phase: Saturation
% 0.16/0.39  % (18473)Instruction limit reached!
% 0.16/0.39  % (18473)------------------------------
% 0.16/0.39  % (18473)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.16/0.39  % (18473)Termination reason: Unknown
% 0.16/0.39  % (18473)Termination phase: Saturation
% 0.16/0.39  
% 0.16/0.39  % (18473)Memory used [KB]: 895
% 0.16/0.39  % (18473)Time elapsed: 0.003 s
% 0.16/0.39  % (18473)Instructions burned: 2 (million)
% 0.16/0.39  % (18473)------------------------------
% 0.16/0.39  % (18473)------------------------------
% 0.16/0.39  
% 0.16/0.39  % (18472)Memory used [KB]: 895
% 0.16/0.39  % (18472)Time elapsed: 0.003 s
% 0.16/0.39  % (18472)Instructions burned: 2 (million)
% 0.16/0.39  % (18472)------------------------------
% 0.16/0.39  % (18472)------------------------------
% 0.16/0.39  % (18474)Refutation not found, incomplete strategy
% 0.16/0.39  % (18474)------------------------------
% 0.16/0.39  % (18474)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.16/0.39  % (18474)Termination reason: Refutation not found, incomplete strategy
% 0.16/0.39  
% 0.16/0.39  
% 0.16/0.39  % (18474)Memory used [KB]: 5500
% 0.16/0.39  % (18474)Time elapsed: 0.003 s
% 0.16/0.39  % (18474)Instructions burned: 2 (million)
% 0.16/0.39  % (18474)------------------------------
% 0.16/0.39  % (18474)------------------------------
% 0.16/0.39  % (18476)Instruction limit reached!
% 0.16/0.39  % (18476)------------------------------
% 0.16/0.39  % (18476)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.16/0.39  % (18476)Termination reason: Unknown
% 0.16/0.39  % (18476)Termination phase: Saturation
% 0.16/0.39  
% 0.16/0.39  % (18476)Memory used [KB]: 5500
% 0.16/0.39  % (18476)Time elapsed: 0.004 s
% 0.16/0.39  % (18476)Instructions burned: 3 (million)
% 0.16/0.39  % (18476)------------------------------
% 0.16/0.39  % (18476)------------------------------
% 0.16/0.39  % (18470)Instruction limit reached!
% 0.16/0.39  % (18470)------------------------------
% 0.16/0.39  % (18470)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.16/0.39  % (18470)Termination reason: Unknown
% 0.16/0.39  % (18470)Termination phase: Saturation
% 0.16/0.39  
% 0.16/0.39  % (18470)Memory used [KB]: 5500
% 0.16/0.39  % (18470)Time elapsed: 0.005 s
% 0.16/0.39  % (18470)Instructions burned: 4 (million)
% 0.16/0.39  % (18470)------------------------------
% 0.16/0.39  % (18470)------------------------------
% 0.16/0.39  % (18475)First to succeed.
% 0.16/0.39  % (18469)Also succeeded, but the first one will report.
% 0.16/0.39  % (18475)Refutation found. Thanks to Tanya!
% 0.16/0.39  % SZS status Theorem for theBenchmark
% 0.16/0.39  % SZS output start Proof for theBenchmark
% See solution above
% 0.16/0.39  % (18475)------------------------------
% 0.16/0.39  % (18475)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.16/0.39  % (18475)Termination reason: Refutation
% 0.16/0.39  
% 0.16/0.39  % (18475)Memory used [KB]: 5500
% 0.16/0.39  % (18475)Time elapsed: 0.006 s
% 0.16/0.39  % (18475)Instructions burned: 3 (million)
% 0.16/0.39  % (18475)------------------------------
% 0.16/0.39  % (18475)------------------------------
% 0.16/0.39  % (18468)Success in time 0.006 s
% 0.16/0.39  % Vampire---4.8 exiting
%------------------------------------------------------------------------------