TSTP Solution File: CSR135^2 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : CSR135^2 : TPTP v8.1.2. Released v4.1.0.
% 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 : n019.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 04:52:11 EDT 2024

% Result   : Theorem 0.20s 0.37s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   14 (   2 unt;   4 typ;   0 def)
%            Number of atoms       :   56 (  11 equ;   0 cnn)
%            Maximal formula atoms :    4 (   5 avg)
%            Number of connectives :   48 (  12   ~;   4   |;   4   &;  28   @)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   4 avg)
%            Number of types       :    3 (   1 usr)
%            Number of type conns  :   16 (  16   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    9 (   6 usr;   5 con; 0-2 aty)
%            Number of variables   :   11 (   4   ^   2   !;   4   ?;  11   :)
%                                         (   1  !>;   0  ?*;   0  @-;   0  @+)

% Comments : 
%------------------------------------------------------------------------------
thf(func_def_0,type,
    num: $tType ).

thf(func_def_7,type,
    likes_THFTYPE_IiioI: $i > $i > $o ).

thf(func_def_8,type,
    parent_THFTYPE_IiioI: $i > $i > $o ).

thf(func_def_14,type,
    ph1: 
      !>[X0: $tType] : X0 ).

thf(f69,plain,
    $false,
    inference(trivial_inequality_removal,[],[f68]) ).

thf(f68,plain,
    $true != $true,
    inference(duplicate_literal_removal,[],[f67]) ).

thf(f67,plain,
    ( ( $true != $true )
    | ( $true != $true ) ),
    inference(beta_eta_normalization,[],[f47]) ).

thf(f47,plain,
    ( ( $true
     != ( ^ [Y0: $i,Y1: $i] : $true
        @ lSue_THFTYPE_i
        @ lBill_THFTYPE_i ) )
    | ( ( ^ [Y0: $i,Y1: $i] : $true
        @ lMary_THFTYPE_i
        @ lBill_THFTYPE_i )
     != $true ) ),
    inference(primitive_instantiation,[],[f43]) ).

thf(f43,plain,
    ! [X0: $i > $i > $o] :
      ( ( ( X0 @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
       != $true )
      | ( ( X0 @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
       != $true ) ),
    inference(cnf_transformation,[],[f39]) ).

thf(f39,plain,
    ! [X0: $i > $i > $o] :
      ( ( ( X0 @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
       != $true )
      | ( ( X0 @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
       != $true ) ),
    inference(ennf_transformation,[],[f24]) ).

thf(f24,plain,
    ~ ? [X0: $i > $i > $o] :
        ( ( ( X0 @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
          = $true )
        & ( ( X0 @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
          = $true ) ),
    inference(fool_elimination,[],[f23]) ).

thf(f23,plain,
    ~ ? [X0: $i > $i > $o] :
        ( ( X0 @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        & ( X0 @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) ),
    inference(rectify,[],[f13]) ).

thf(f13,negated_conjecture,
    ~ ? [X0: $i > $i > $o] :
        ( ( X0 @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
        & ( X0 @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) ),
    inference(negated_conjecture,[],[f12]) ).

thf(f12,conjecture,
    ? [X0: $i > $i > $o] :
      ( ( X0 @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
      & ( X0 @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) ),
    file('/export/starexec/sandbox/tmp/tmp.cfjWqb17OX/Vampire---4.8_22340',con) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : CSR135^2 : TPTP v8.1.2. Released v4.1.0.
% 0.12/0.13  % 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
% 0.14/0.34  % Computer : n019.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit   : 300
% 0.14/0.34  % WCLimit    : 300
% 0.14/0.34  % DateTime   : Fri May  3 20:20:52 EDT 2024
% 0.14/0.34  % CPUTime    : 
% 0.14/0.34  This is a TH0_THM_NEQ_NAR problem
% 0.14/0.35  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.cfjWqb17OX/Vampire---4.8_22340
% 0.20/0.36  % (22452)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 (2999ds/2Mi)
% 0.20/0.36  % (22453)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 (2999ds/275Mi)
% 0.20/0.36  % (22452)Instruction limit reached!
% 0.20/0.36  % (22452)------------------------------
% 0.20/0.36  % (22452)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.36  % (22452)Termination reason: Unknown
% 0.20/0.36  % (22452)Termination phase: Saturation
% 0.20/0.36  
% 0.20/0.36  % (22452)Memory used [KB]: 5500
% 0.20/0.36  % (22452)Time elapsed: 0.003 s
% 0.20/0.36  % (22452)Instructions burned: 2 (million)
% 0.20/0.36  % (22452)------------------------------
% 0.20/0.36  % (22452)------------------------------
% 0.20/0.36  % (22451)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on Vampire---4 for (2999ds/2Mi)
% 0.20/0.36  % (22454)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on Vampire---4 for (2999ds/18Mi)
% 0.20/0.36  % (22455)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 (2999ds/3Mi)
% 0.20/0.36  % (22449)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 (2999ds/4Mi)
% 0.20/0.36  % (22450)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 (2999ds/27Mi)
% 0.20/0.36  % (22451)Instruction limit reached!
% 0.20/0.36  % (22451)------------------------------
% 0.20/0.36  % (22451)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.36  % (22451)Termination reason: Unknown
% 0.20/0.36  % (22451)Termination phase: Saturation
% 0.20/0.36  
% 0.20/0.36  % (22451)Memory used [KB]: 5373
% 0.20/0.36  % (22451)Time elapsed: 0.002 s
% 0.20/0.36  % (22451)Instructions burned: 2 (million)
% 0.20/0.36  % (22451)------------------------------
% 0.20/0.36  % (22451)------------------------------
% 0.20/0.36  % (22453)First to succeed.
% 0.20/0.37  % (22455)Instruction limit reached!
% 0.20/0.37  % (22455)------------------------------
% 0.20/0.37  % (22455)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.37  % (22455)Termination reason: Unknown
% 0.20/0.37  % (22455)Termination phase: Saturation
% 0.20/0.37  
% 0.20/0.37  % (22455)Memory used [KB]: 5500
% 0.20/0.37  % (22455)Time elapsed: 0.003 s
% 0.20/0.37  % (22455)Instructions burned: 3 (million)
% 0.20/0.37  % (22455)------------------------------
% 0.20/0.37  % (22455)------------------------------
% 0.20/0.37  % (22453)Refutation found. Thanks to Tanya!
% 0.20/0.37  % SZS status Theorem for Vampire---4
% 0.20/0.37  % SZS output start Proof for Vampire---4
% See solution above
% 0.20/0.37  % (22453)------------------------------
% 0.20/0.37  % (22453)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.37  % (22453)Termination reason: Refutation
% 0.20/0.37  
% 0.20/0.37  % (22453)Memory used [KB]: 5500
% 0.20/0.37  % (22453)Time elapsed: 0.003 s
% 0.20/0.37  % (22453)Instructions burned: 2 (million)
% 0.20/0.37  % (22453)------------------------------
% 0.20/0.37  % (22453)------------------------------
% 0.20/0.37  % (22447)Success in time 0.014 s
% 0.20/0.37  % Vampire---4.8 exiting
%------------------------------------------------------------------------------