TSTP Solution File: SYO215^5 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SYO215^5 : TPTP v8.2.0. Released v4.0.0.
% 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 09:03:32 EDT 2024

% Result   : Theorem 0.20s 0.37s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   12 (   4 unt;   0 def)
%            Number of atoms       :   20 (  19 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   23 (  15   ~;   0   |;   3   &)
%                                         (   0 <=>;   5  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    3 (   3 usr;   3 con; 0-0 aty)
%            Number of variables   :   27 (   9   !;  18   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f12,plain,
    $false,
    inference(subsumption_resolution,[],[f11,f10]) ).

fof(f10,plain,
    ! [X1] : sK0 = X1,
    inference(cnf_transformation,[],[f8]) ).

fof(f8,plain,
    ( ! [X1] : sK0 = X1
    & sK1 != sK2 ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f5,f7,f6]) ).

fof(f6,plain,
    ( ? [X0] :
      ! [X1] : X0 = X1
   => ! [X1] : sK0 = X1 ),
    introduced(choice_axiom,[]) ).

fof(f7,plain,
    ( ? [X2,X3] : X2 != X3
   => sK1 != sK2 ),
    introduced(choice_axiom,[]) ).

fof(f5,plain,
    ( ? [X0] :
      ! [X1] : X0 = X1
    & ? [X2,X3] : X2 != X3 ),
    inference(rectify,[],[f4]) ).

fof(f4,plain,
    ( ? [X2] :
      ! [X3] : X2 = X3
    & ? [X1,X0] : X0 != X1 ),
    inference(ennf_transformation,[],[f3]) ).

fof(f3,plain,
    ~ ( ? [X1,X0] : X0 != X1
     => ! [X2] :
        ? [X3] : X2 != X3 ),
    inference(rectify,[],[f2]) ).

fof(f2,negated_conjecture,
    ~ ( ? [X1,X0] : X0 != X1
     => ! [X2] :
        ? [X3] : X2 != X3 ),
    inference(negated_conjecture,[],[f1]) ).

fof(f1,conjecture,
    ( ? [X1,X0] : X0 != X1
   => ! [X2] :
      ? [X3] : X2 != X3 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cTHM26) ).

fof(f11,plain,
    sK1 != sK0,
    inference(backward_demodulation,[],[f9,f10]) ).

fof(f9,plain,
    sK1 != sK2,
    inference(cnf_transformation,[],[f8]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : SYO215^5 : TPTP v8.2.0. Released v4.0.0.
% 0.03/0.13  % 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
% 0.13/0.34  % Computer : n011.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit   : 300
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Mon May 20 09:01:08 EDT 2024
% 0.13/0.35  % CPUTime    : 
% 0.13/0.35  This is a TH0_THM_EQU_NAR problem
% 0.13/0.35  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/sandbox2/benchmark/theBenchmark.p
% 0.20/0.37  % (4566)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)
% 0.20/0.37  % (4568)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (3000ds/2Mi)
% 0.20/0.37  % (4569)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)
% 0.20/0.37  % (4570)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)
% 0.20/0.37  % (4568)First to succeed.
% 0.20/0.37  % (4566)Also succeeded, but the first one will report.
% 0.20/0.37  % (4565)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (3000ds/183Mi)
% 0.20/0.37  % (4570)Also succeeded, but the first one will report.
% 0.20/0.37  % (4568)Refutation found. Thanks to Tanya!
% 0.20/0.37  % SZS status Theorem for theBenchmark
% 0.20/0.37  % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.37  % (4568)------------------------------
% 0.20/0.37  % (4568)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.37  % (4568)Termination reason: Refutation
% 0.20/0.37  
% 0.20/0.37  % (4568)Memory used [KB]: 5373
% 0.20/0.37  % (4568)Time elapsed: 0.004 s
% 0.20/0.37  % (4568)Instructions burned: 1 (million)
% 0.20/0.37  % (4568)------------------------------
% 0.20/0.37  % (4568)------------------------------
% 0.20/0.37  % (4564)Success in time 0.008 s
% 0.20/0.37  % Vampire---4.8 exiting
%------------------------------------------------------------------------------