TSTP Solution File: NUM635^1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : NUM635^1 : 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/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n027.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 01:43:55 EDT 2024

% Result   : Theorem 0.14s 0.36s
% Output   : Refutation 0.14s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   18 (   8 unt;   5 typ;   0 def)
%            Number of atoms       :   18 (  17 equ;   0 cnn)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   32 (   9   ~;   4   |;   0   &;  18   @)
%                                         (   0 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   3 avg)
%            Number of types       :    1 (   1 usr)
%            Number of type conns  :    1 (   1   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    5 (   3 usr;   3 con; 0-2 aty)
%            Number of variables   :    9 (   0   ^   9   !;   0   ?;   9   :)

% 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,
    suc: nat > nat ).

thf(f17,plain,
    $false,
    inference(subsumption_resolution,[],[f16,f10]) ).

thf(f10,plain,
    x != y,
    inference(cnf_transformation,[],[f1]) ).

thf(f1,axiom,
    x != y,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',n) ).

thf(f16,plain,
    x = y,
    inference(equality_resolution,[],[f12]) ).

thf(f12,plain,
    ! [X0: nat] :
      ( ( ( suc @ X0 )
       != ( suc @ x ) )
      | ( y = X0 ) ),
    inference(superposition,[],[f11,f9]) ).

thf(f9,plain,
    ( ( suc @ x )
    = ( suc @ y ) ),
    inference(cnf_transformation,[],[f6]) ).

thf(f6,plain,
    ( ( suc @ x )
    = ( suc @ y ) ),
    inference(flattening,[],[f4]) ).

thf(f4,negated_conjecture,
    ~ ( ( ( suc @ x )
       != ( suc @ y ) ) ),
    inference(negated_conjecture,[],[f3]) ).

thf(f3,conjecture,
    ( ( suc @ x )
   != ( suc @ y ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',satz1) ).

thf(f11,plain,
    ! [X0: nat,X1: nat] :
      ( ( ( suc @ X0 )
       != ( suc @ X1 ) )
      | ( X0 = X1 ) ),
    inference(cnf_transformation,[],[f8]) ).

thf(f8,plain,
    ! [X0: nat,X1: nat] :
      ( ( ( suc @ X0 )
       != ( suc @ X1 ) )
      | ( X0 = X1 ) ),
    inference(rectify,[],[f7]) ).

thf(f7,plain,
    ! [X1: nat,X0: nat] :
      ( ( ( suc @ X0 )
       != ( suc @ X1 ) )
      | ( X0 = X1 ) ),
    inference(ennf_transformation,[],[f2]) ).

thf(f2,axiom,
    ! [X0: nat,X1: nat] :
      ( ( ( suc @ X0 )
        = ( suc @ X1 ) )
     => ( X0 = X1 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax4) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11  % Problem    : NUM635^1 : TPTP v8.2.0. Released v3.7.0.
% 0.06/0.13  % 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 : n027.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   : Mon May 20 06:22:22 EDT 2024
% 0.14/0.34  % CPUTime    : 
% 0.14/0.34  This is a TH0_THM_EQU_NAR problem
% 0.14/0.34  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
% 0.14/0.36  % (6243)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (3000ds/18Mi)
% 0.14/0.36  % (6239)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)
% 0.14/0.36  % (6238)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)
% 0.14/0.36  % (6237)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (3000ds/183Mi)
% 0.14/0.36  % (6244)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)
% 0.14/0.36  % (6240)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (3000ds/2Mi)
% 0.14/0.36  % (6243)First to succeed.
% 0.14/0.36  % (6239)Also succeeded, but the first one will report.
% 0.14/0.36  % (6240)Instruction limit reached!
% 0.14/0.36  % (6240)------------------------------
% 0.14/0.36  % (6240)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.36  % (6240)Termination reason: Unknown
% 0.14/0.36  % (6240)Termination phase: Saturation
% 0.14/0.36  
% 0.14/0.36  % (6240)Memory used [KB]: 5500
% 0.14/0.36  % (6243)Refutation found. Thanks to Tanya!
% 0.14/0.36  % SZS status Theorem for theBenchmark
% 0.14/0.36  % SZS output start Proof for theBenchmark
% See solution above
% 0.14/0.36  % (6243)------------------------------
% 0.14/0.36  % (6243)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.36  % (6243)Termination reason: Refutation
% 0.14/0.36  
% 0.14/0.36  % (6243)Memory used [KB]: 5500
% 0.14/0.36  % (6243)Time elapsed: 0.003 s
% 0.14/0.36  % (6243)Instructions burned: 1 (million)
% 0.14/0.36  % (6243)------------------------------
% 0.14/0.36  % (6243)------------------------------
% 0.14/0.36  % (6236)Success in time 0.015 s
% 0.14/0.36  % Vampire---4.8 exiting
%------------------------------------------------------------------------------