TSTP Solution File: SYN974+1 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : SYN974+1 : TPTP v8.1.2. Released v3.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s

% Computer : n008.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 Apr 30 18:11:17 EDT 2024

% Result   : Theorem 0.21s 0.37s
% Output   : Refutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    2
% Syntax   : Number of formulae    :    9 (   3 unt;   0 def)
%            Number of atoms       :   15 (   0 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   11 (   5   ~;   0   |;   3   &)
%                                         (   0 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-1 aty)
%            Number of functors    :    1 (   1 usr;   1 con; 0-0 aty)
%            Number of variables   :   11 (   4   !;   7   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f9,plain,
    $false,
    inference(resolution,[],[f8,f7]) ).

fof(f7,plain,
    p(sK0),
    inference(cnf_transformation,[],[f6]) ).

fof(f6,plain,
    ( ! [X0] : ~ p(X0)
    & p(sK0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f4,f5]) ).

fof(f5,plain,
    ( ? [X1] : p(X1)
   => p(sK0) ),
    introduced(choice_axiom,[]) ).

fof(f4,plain,
    ( ! [X0] : ~ p(X0)
    & ? [X1] : p(X1) ),
    inference(rectify,[],[f3]) ).

fof(f3,plain,
    ( ! [X1] : ~ p(X1)
    & ? [X0] : p(X0) ),
    inference(ennf_transformation,[],[f2]) ).

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

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

fof(f8,plain,
    ! [X0] : ~ p(X0),
    inference(cnf_transformation,[],[f6]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12  % Problem    : SYN974+1 : TPTP v8.1.2. Released v3.1.0.
% 0.04/0.14  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.35  % Computer : n008.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit   : 300
% 0.14/0.35  % WCLimit    : 300
% 0.14/0.35  % DateTime   : Tue Apr 30 01:57:28 EDT 2024
% 0.14/0.35  % CPUTime    : 
% 0.14/0.36  % (12765)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.37  % (12767)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.21/0.37  % (12766)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.21/0.37  % (12770)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.21/0.37  % (12771)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.21/0.37  % (12768)dis-2_2:3_amm=sco:anc=none:bce=on:fsr=off:gsp=on:nm=16:nwc=1.2:nicw=on:sac=on:sp=weighted_frequency_476 on theBenchmark for (476ds/0Mi)
% 0.21/0.37  % (12772)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2:si=on:rtra=on:rawr=on:rp=on:fmbksg=on_1451 on theBenchmark for (1451ds/0Mi)
% 0.21/0.37  Detected minimum model sizes of [1]
% 0.21/0.37  Detected minimum model sizes of [1]
% 0.21/0.37  Detected maximum model sizes of [1]
% 0.21/0.37  Detected maximum model sizes of [1]
% 0.21/0.37  % (12770)First to succeed.
% 0.21/0.37  Detected minimum model sizes of [1]
% 0.21/0.37  Detected maximum model sizes of [1]
% 0.21/0.37  % (12768)Also succeeded, but the first one will report.
% 0.21/0.37  TRYING [1]
% 0.21/0.37  TRYING [1]
% 0.21/0.37  TRYING [1]
% 0.21/0.37  % (12766)Also succeeded, but the first one will report.
% 0.21/0.37  % (12770)Refutation found. Thanks to Tanya!
% 0.21/0.37  % SZS status Theorem for theBenchmark
% 0.21/0.37  % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.37  % (12770)------------------------------
% 0.21/0.37  % (12770)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.21/0.37  % (12770)Termination reason: Refutation
% 0.21/0.37  
% 0.21/0.37  % (12770)Memory used [KB]: 728
% 0.21/0.37  % (12770)Time elapsed: 0.003 s
% 0.21/0.37  % (12770)Instructions burned: 2 (million)
% 0.21/0.37  % (12770)------------------------------
% 0.21/0.37  % (12770)------------------------------
% 0.21/0.37  % (12765)Success in time 0.007 s
%------------------------------------------------------------------------------