TSTP Solution File: NUM781^2 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : NUM781^2 : TPTP v8.2.0. Released v5.1.0.
% 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 : n029.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 01:45:52 EDT 2024

% Result   : Theorem 0.17s 0.35s
% Output   : Refutation 0.17s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   14 (   4 unt;   4 typ;   0 def)
%            Number of atoms       :   18 (  17 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   16 (   8   ~;   0   |;   5   &)
%                                         (   0 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of types       :    1 (   1 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    2 (   2 usr;   2 con; 0-0 aty)
%            Number of variables   :   10 (   4   !;   6   ?;  10   :)

% Comments : 
%------------------------------------------------------------------------------
tff(type_def_5,type,
    a: $tType ).

tff(func_def_0,type,
    a: $tType ).

tff(func_def_1,type,
    sK0: a ).

tff(func_def_2,type,
    sK1: a ).

tff(f10,plain,
    $false,
    inference(trivial_inequality_removal,[],[f9]) ).

tff(f9,plain,
    sK1 != sK1,
    inference(definition_unfolding,[],[f8,f7]) ).

tff(f7,plain,
    sK0 = sK1,
    inference(cnf_transformation,[],[f6]) ).

tff(f6,plain,
    ( ( sK0 != sK1 )
    & ( sK0 = sK1 ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f4,f5]) ).

tff(f5,plain,
    ( ? [X0: a,X1: a] :
        ( ( X0 != X1 )
        & ( X0 = X1 ) )
   => ( ( sK0 != sK1 )
      & ( sK0 = sK1 ) ) ),
    introduced(choice_axiom,[]) ).

tff(f4,plain,
    ? [X0: a,X1: a] :
      ( ( X0 != X1 )
      & ( X0 = X1 ) ),
    inference(rectify,[],[f3]) ).

tff(f3,plain,
    ? [X1: a,X0: a] :
      ( ( X0 != X1 )
      & ( X0 = X1 ) ),
    inference(ennf_transformation,[],[f2]) ).

tff(f2,negated_conjecture,
    ~ ! [X1: a,X0: a] :
        ( ( X0 = X1 )
       => ( X0 = X1 ) ),
    inference(negated_conjecture,[],[f1]) ).

tff(f1,conjecture,
    ! [X1: a,X0: a] :
      ( ( X0 = X1 )
     => ( X0 = X1 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cES_eq_) ).

tff(f8,plain,
    sK0 != sK1,
    inference(cnf_transformation,[],[f6]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11  % Problem    : NUM781^2 : TPTP v8.2.0. Released v5.1.0.
% 0.11/0.12  % 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
% 0.11/0.32  % Computer : n029.cluster.edu
% 0.11/0.32  % Model    : x86_64 x86_64
% 0.11/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32  % Memory   : 8042.1875MB
% 0.11/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33  % CPULimit   : 300
% 0.11/0.33  % WCLimit    : 300
% 0.11/0.33  % DateTime   : Mon May 20 07:05:08 EDT 2024
% 0.11/0.33  % CPUTime    : 
% 0.11/0.33  This is a TH0_THM_EQU_NAR problem
% 0.11/0.33  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
% 0.17/0.35  % (11945)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)
% 0.17/0.35  % (11941)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (3000ds/183Mi)
% 0.17/0.35  % (11943)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)
% 0.17/0.35  % (11947)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (3000ds/18Mi)
% 0.17/0.35  % (11948)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)
% 0.17/0.35  % (11942)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)
% 0.17/0.35  % (11944)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (3000ds/2Mi)
% 0.17/0.35  % (11948)First to succeed.
% 0.17/0.35  % (11946)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)
% 0.17/0.35  % (11942)Also succeeded, but the first one will report.
% 0.17/0.35  % (11941)Also succeeded, but the first one will report.
% 0.17/0.35  % (11948)Refutation found. Thanks to Tanya!
% 0.17/0.35  % SZS status Theorem for theBenchmark
% 0.17/0.35  % SZS output start Proof for theBenchmark
% See solution above
% 0.17/0.35  % (11948)------------------------------
% 0.17/0.35  % (11948)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.17/0.35  % (11948)Termination reason: Refutation
% 0.17/0.35  
% 0.17/0.35  % (11948)Memory used [KB]: 5373
% 0.17/0.35  % (11948)Time elapsed: 0.003 s
% 0.17/0.35  % (11948)Instructions burned: 1 (million)
% 0.17/0.35  % (11948)------------------------------
% 0.17/0.35  % (11948)------------------------------
% 0.17/0.35  % (11940)Success in time 0.015 s
% 0.17/0.35  % Vampire---4.8 exiting
%------------------------------------------------------------------------------