TSTP Solution File: SYN272-1 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : SYN272-1 : TPTP v8.2.0. Released v1.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s

% Computer : n014.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 08:34:46 EDT 2024

% Result   : Unsatisfiable 0.15s 0.40s
% Output   : Refutation 0.15s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   10
% Syntax   : Number of formulae    :   20 (  11 unt;   0 def)
%            Number of atoms       :   32 (   0 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   25 (  13   ~;  12   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    9 (   8 usr;   1 prp; 0-3 aty)
%            Number of functors    :    3 (   3 usr;   3 con; 0-0 aty)
%            Number of variables   :   29 (  29   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1535,plain,
    $false,
    inference(resolution,[],[f1532,f369]) ).

fof(f369,axiom,
    ! [X0] : ~ p4(d,e,X0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).

fof(f1532,plain,
    ! [X0] : p4(d,X0,d),
    inference(resolution,[],[f1525,f325]) ).

fof(f325,axiom,
    ! [X11,X6] :
      ( ~ k3(X11,X11,X6)
      | p4(X11,X6,X11) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_287) ).

fof(f1525,plain,
    ! [X0] : k3(d,d,X0),
    inference(resolution,[],[f1521,f232]) ).

fof(f232,axiom,
    ! [X9,X4] :
      ( ~ k2(X4,X9)
      | k3(X9,X9,X4) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_194) ).

fof(f1521,plain,
    ! [X0] : k2(X0,d),
    inference(subsumption_resolution,[],[f1519,f377]) ).

fof(f377,plain,
    k1(d),
    inference(resolution,[],[f39,f34]) ).

fof(f34,axiom,
    n0(c,d),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_34) ).

fof(f39,axiom,
    ! [X2,X3] :
      ( ~ n0(X3,X2)
      | k1(X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_001) ).

fof(f1519,plain,
    ! [X0] :
      ( k2(X0,d)
      | ~ k1(d) ),
    inference(resolution,[],[f1491,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/sandbox2/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/sandbox2/benchmark/theBenchmark.p',axiom_19) ).

fof(f148,axiom,
    ! [X11,X6,X7] :
      ( ~ m0(X6,X7,X11)
      | q1(X11,X11,X11) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_110) ).

fof(f1491,plain,
    ! [X0,X1] :
      ( ~ k2(X0,d)
      | k2(X1,d)
      | ~ k1(X0) ),
    inference(resolution,[],[f165,f542]) ).

fof(f542,plain,
    ! [X0] : m1(X0,d,X0),
    inference(resolution,[],[f43,f19]) ).

fof(f43,axiom,
    ! [X11,X6] :
      ( ~ m0(X6,X6,X11)
      | m1(X11,X6,X11) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_005) ).

fof(f165,axiom,
    ! [X8,X6,X9,X7] :
      ( ~ m1(X8,X7,X6)
      | ~ k2(X9,X7)
      | k2(X6,X7)
      | ~ k1(X9) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_127) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12  % Problem    : SYN272-1 : TPTP v8.2.0. Released v1.1.0.
% 0.12/0.14  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.35  % Computer : n014.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   : Mon May 20 15:03:08 EDT 2024
% 0.15/0.35  % CPUTime    : 
% 0.15/0.36  % (13570)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.38  % (13575)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.15/0.38  % (13572)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.15/0.38  % (13574)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  % (13573)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  % (13571)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.15/0.38  % (13576)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.15/0.38  % (13577)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)
% 0.15/0.40  % (13575)First to succeed.
% 0.15/0.40  Detected minimum model sizes of [1]
% 0.15/0.40  Detected maximum model sizes of [5]
% 0.15/0.40  % (13575)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-13570"
% 0.15/0.40  TRYING [1]
% 0.15/0.40  Detected minimum model sizes of [1]
% 0.15/0.40  Detected maximum model sizes of [5]
% 0.15/0.40  TRYING [1]
% 0.15/0.40  % (13575)Refutation found. Thanks to Tanya!
% 0.15/0.40  % SZS status Unsatisfiable for theBenchmark
% 0.15/0.40  % SZS output start Proof for theBenchmark
% See solution above
% 0.15/0.40  % (13575)------------------------------
% 0.15/0.40  % (13575)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.15/0.40  % (13575)Termination reason: Refutation
% 0.15/0.40  
% 0.15/0.40  % (13575)Memory used [KB]: 1340
% 0.15/0.40  % (13575)Time elapsed: 0.018 s
% 0.15/0.40  % (13575)Instructions burned: 30 (million)
% 0.15/0.40  % (13570)Success in time 0.031 s
%------------------------------------------------------------------------------