TSTP Solution File: NUM707^1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : NUM707^1 : TPTP v8.1.2. 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 : n009.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 08:14:41 EDT 2024

% Result   : Theorem 0.15s 0.40s
% Output   : Refutation 0.15s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   17 (  10 unt;   7 typ;   0 def)
%            Number of atoms       :   10 (   9 equ;   0 cnn)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :   67 (   4   ~;   0   |;   0   &;  63   @)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    3 (   2 avg)
%            Number of types       :    1 (   1 usr)
%            Number of type conns  :    5 (   5   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    7 (   5 usr;   3 con; 0-2 aty)
%            Number of variables   :    8 (   0   ^   8   !;   0   ?;   8   :)

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

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

thf(func_def_1,type,
    x: nat ).

thf(func_def_2,type,
    y: nat ).

thf(func_def_3,type,
    pl: nat > nat > nat ).

thf(func_def_4,type,
    ts: nat > nat > nat ).

thf(func_def_5,type,
    suc: nat > nat ).

thf(f11,plain,
    $false,
    inference(subsumption_resolution,[],[f10,f9]) ).

thf(f9,plain,
    ! [X0: nat,X1: nat] :
      ( ( pl @ ( ts @ X1 @ X0 ) @ X1 )
      = ( ts @ X1 @ ( suc @ X0 ) ) ),
    inference(cnf_transformation,[],[f6]) ).

thf(f6,plain,
    ! [X0: nat,X1: nat] :
      ( ( pl @ ( ts @ X1 @ X0 ) @ X1 )
      = ( ts @ X1 @ ( suc @ X0 ) ) ),
    inference(fool_elimination,[],[f5]) ).

thf(f5,plain,
    ! [X0: nat,X1: nat] :
      ( ( pl @ ( ts @ X1 @ X0 ) @ X1 )
      = ( ts @ X1 @ ( suc @ X0 ) ) ),
    inference(rectify,[],[f1]) ).

thf(f1,axiom,
    ! [X1: nat,X0: nat] :
      ( ( ts @ X0 @ ( suc @ X1 ) )
      = ( pl @ ( ts @ X0 @ X1 ) @ X0 ) ),
    file('/export/starexec/sandbox2/tmp/tmp.kdboufHIby/Vampire---4.8_19313',satz28b) ).

thf(f10,plain,
    ( ( pl @ ( ts @ x @ y ) @ x )
   != ( ts @ x @ ( suc @ y ) ) ),
    inference(cnf_transformation,[],[f8]) ).

thf(f8,plain,
    ( ( pl @ ( ts @ x @ y ) @ x )
   != ( ts @ x @ ( suc @ y ) ) ),
    inference(flattening,[],[f7]) ).

thf(f7,plain,
    ( ( pl @ ( ts @ x @ y ) @ x )
   != ( ts @ x @ ( suc @ y ) ) ),
    inference(fool_elimination,[],[f3]) ).

thf(f3,negated_conjecture,
    ( ( pl @ ( ts @ x @ y ) @ x )
   != ( ts @ x @ ( suc @ y ) ) ),
    inference(negated_conjecture,[],[f2]) ).

thf(f2,conjecture,
    ( ( pl @ ( ts @ x @ y ) @ x )
    = ( ts @ x @ ( suc @ y ) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.kdboufHIby/Vampire---4.8_19313',satz28f) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.15  % Problem    : NUM707^1 : TPTP v8.1.2. Released v3.7.0.
% 0.07/0.17  % 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
% 0.15/0.37  % Computer : n009.cluster.edu
% 0.15/0.37  % Model    : x86_64 x86_64
% 0.15/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.37  % Memory   : 8042.1875MB
% 0.15/0.37  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.37  % CPULimit   : 300
% 0.15/0.37  % WCLimit    : 300
% 0.15/0.37  % DateTime   : Fri May  3 14:13:38 EDT 2024
% 0.15/0.37  % CPUTime    : 
% 0.15/0.37  This is a TH0_THM_EQU_NAR problem
% 0.15/0.38  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/tmp/tmp.kdboufHIby/Vampire---4.8_19313
% 0.15/0.39  % (19428)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)
% 0.15/0.39  % (19423)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)
% 0.15/0.39  % (19422)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)
% 0.15/0.39  % (19427)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on Vampire---4 for (2999ds/18Mi)
% 0.15/0.39  % (19426)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)
% 0.15/0.39  % (19424)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on Vampire---4 for (2999ds/2Mi)
% 0.15/0.39  % (19428)First to succeed.
% 0.15/0.39  % (19425)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)
% 0.15/0.39  % (19426)Also succeeded, but the first one will report.
% 0.15/0.40  % (19425)Instruction limit reached!
% 0.15/0.40  % (19425)------------------------------
% 0.15/0.40  % (19425)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.40  % (19425)Termination reason: Unknown
% 0.15/0.40  % (19425)Termination phase: Saturation
% 0.15/0.40  
% 0.15/0.40  % (19425)Memory used [KB]: 5373
% 0.15/0.40  % (19425)Time elapsed: 0.003 s
% 0.15/0.40  % (19425)Instructions burned: 2 (million)
% 0.15/0.40  % (19425)------------------------------
% 0.15/0.40  % (19425)------------------------------
% 0.15/0.40  % (19422)Also succeeded, but the first one will report.
% 0.15/0.40  % (19428)Refutation found. Thanks to Tanya!
% 0.15/0.40  % SZS status Theorem for Vampire---4
% 0.15/0.40  % SZS output start Proof for Vampire---4
% See solution above
% 0.15/0.40  % (19428)------------------------------
% 0.15/0.40  % (19428)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.40  % (19428)Termination reason: Refutation
% 0.15/0.40  
% 0.15/0.40  % (19428)Memory used [KB]: 5373
% 0.15/0.40  % (19428)Time elapsed: 0.003 s
% 0.15/0.40  % (19428)Instructions burned: 1 (million)
% 0.15/0.40  % (19428)------------------------------
% 0.15/0.40  % (19428)------------------------------
% 0.15/0.40  % (19420)Success in time 0.015 s
% 0.15/0.40  % Vampire---4.8 exiting
%------------------------------------------------------------------------------