TSTP Solution File: SYN273-1 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : SYN273-1 : TPTP v8.1.2. Released v1.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s

% Computer : n013.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 18:02:41 EDT 2024

% Result   : Unsatisfiable 0.15s 0.39s
% Output   : Refutation 0.15s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :   12
% Syntax   : Number of formulae    :   23 (  13 unt;   0 def)
%            Number of atoms       :   37 (   0 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   29 (  15   ~;  14   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :   11 (  10 usr;   1 prp; 0-3 aty)
%            Number of functors    :    3 (   3 usr;   3 con; 0-0 aty)
%            Number of variables   :   23 (  23   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1801,plain,
    $false,
    inference(subsumption_resolution,[],[f1799,f369]) ).

fof(f369,axiom,
    ~ p4(e,c,e),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).

fof(f1799,plain,
    p4(e,c,e),
    inference(resolution,[],[f1796,f325]) ).

fof(f325,axiom,
    ! [X11,X6] :
      ( ~ k3(X11,X11,X6)
      | p4(X11,X6,X11) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_287) ).

fof(f1796,plain,
    k3(e,e,c),
    inference(resolution,[],[f1786,f232]) ).

fof(f232,axiom,
    ! [X9,X4] :
      ( ~ k2(X4,X9)
      | k3(X9,X9,X4) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_194) ).

fof(f1786,plain,
    k2(c,e),
    inference(subsumption_resolution,[],[f1782,f370]) ).

fof(f370,plain,
    k1(e),
    inference(resolution,[],[f39,f3]) ).

fof(f3,axiom,
    n0(d,e),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_3) ).

fof(f39,axiom,
    ! [X2,X3] :
      ( ~ n0(X3,X2)
      | k1(X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_001) ).

fof(f1782,plain,
    ( k2(c,e)
    | ~ k1(e) ),
    inference(resolution,[],[f1517,f580]) ).

fof(f580,plain,
    ! [X0] : k2(X0,X0),
    inference(resolution,[],[f570,f167]) ).

fof(f167,axiom,
    ! [X3,X10] :
      ( ~ q1(X10,X3,X3)
      | k2(X3,X3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_129) ).

fof(f570,plain,
    ! [X0] : q1(X0,X0,X0),
    inference(resolution,[],[f148,f19]) ).

fof(f19,axiom,
    ! [X0,X1] : m0(X0,d,X1),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_19) ).

fof(f148,axiom,
    ! [X11,X6,X7] :
      ( ~ m0(X6,X7,X11)
      | q1(X11,X11,X11) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_110) ).

fof(f1517,plain,
    ! [X0] :
      ( ~ k2(X0,e)
      | k2(c,e)
      | ~ k1(X0) ),
    inference(resolution,[],[f165,f551]) ).

fof(f551,plain,
    m1(c,e,c),
    inference(resolution,[],[f548,f24]) ).

fof(f24,axiom,
    l0(c),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_24) ).

fof(f548,plain,
    ! [X0] :
      ( ~ l0(X0)
      | m1(X0,e,X0) ),
    inference(resolution,[],[f59,f28]) ).

fof(f28,axiom,
    k0(e),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_28) ).

fof(f59,axiom,
    ! [X2,X3] :
      ( ~ k0(X3)
      | ~ l0(X2)
      | m1(X2,X3,X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_021) ).

fof(f165,axiom,
    ! [X8,X6,X9,X7] :
      ( ~ m1(X8,X7,X6)
      | ~ k2(X9,X7)
      | k2(X6,X7)
      | ~ k1(X9) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_127) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.14  % Problem    : SYN273-1 : TPTP v8.1.2. Released v1.1.0.
% 0.11/0.16  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.35  % Computer : n013.cluster.edu
% 0.15/0.35  % Model    : x86_64 x86_64
% 0.15/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35  % Memory   : 8042.1875MB
% 0.15/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35  % CPULimit   : 300
% 0.15/0.35  % WCLimit    : 300
% 0.15/0.35  % DateTime   : Tue Apr 30 01:43:04 EDT 2024
% 0.15/0.36  % CPUTime    : 
% 0.15/0.36  % (14580)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.38  % (14585)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.15/0.38  % (14581)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.15/0.38  % (14582)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.15/0.38  % (14583)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)
% 0.15/0.38  % (14584)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.15/0.38  % (14586)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.15/0.39  % (14587)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)
% 0.15/0.39  % (14585)First to succeed.
% 0.15/0.39  % (14585)Refutation found. Thanks to Tanya!
% 0.15/0.39  % SZS status Unsatisfiable for theBenchmark
% 0.15/0.39  % SZS output start Proof for theBenchmark
% See solution above
% 0.15/0.39  % (14585)------------------------------
% 0.15/0.39  % (14585)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.15/0.39  % (14585)Termination reason: Refutation
% 0.15/0.39  
% 0.15/0.39  % (14585)Memory used [KB]: 1407
% 0.15/0.39  % (14585)Time elapsed: 0.012 s
% 0.15/0.39  % (14585)Instructions burned: 36 (million)
% 0.15/0.39  % (14585)------------------------------
% 0.15/0.39  % (14585)------------------------------
% 0.15/0.39  % (14580)Success in time 0.029 s
%------------------------------------------------------------------------------