TSTP Solution File: SYN553-1 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : SYN553-1 : TPTP v8.2.0. Released v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s

% Computer : n026.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 08:36:48 EDT 2024

% Result   : Unsatisfiable 0.19s 0.37s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   14 (   9 unt;   0 def)
%            Number of atoms       :   21 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   15 (   8   ~;   7   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   4 avg)
%            Maximal term depth    :    4 (   2 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   2 con; 0-2 aty)
%            Number of variables   :   35 (  35   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f614,plain,
    $false,
    inference(resolution,[],[f273,f9]) ).

fof(f9,axiom,
    ~ p2(f8(f8(f9(c4),c4),f9(c3)),f8(f9(c4),f8(f9(c3),c4))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p2_9) ).

fof(f273,plain,
    ! [X2,X0,X1] : p2(f8(f8(X0,X1),X2),f8(X0,f8(X2,X1))),
    inference(resolution,[],[f191,f12]) ).

fof(f12,plain,
    ! [X2,X0,X1] :
      ( ~ p2(X0,f8(X1,X2))
      | p2(X0,f8(X2,X1)) ),
    inference(resolution,[],[f6,f5]) ).

fof(f5,axiom,
    ! [X2,X1] : p2(f8(X1,X2),f8(X2,X1)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_5) ).

fof(f6,axiom,
    ! [X3,X4,X5] :
      ( ~ p2(X5,X4)
      | ~ p2(X3,X5)
      | p2(X3,X4) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_6) ).

fof(f191,plain,
    ! [X2,X0,X1] : p2(f8(f8(X0,X1),X2),f8(f8(X2,X1),X0)),
    inference(resolution,[],[f17,f82]) ).

fof(f82,plain,
    ! [X2,X0,X1] : p2(f8(f8(X0,X1),X2),f8(X2,f8(X1,X0))),
    inference(resolution,[],[f27,f12]) ).

fof(f27,plain,
    ! [X2,X0,X1] : p2(f8(f8(X0,X1),X2),f8(f8(X1,X0),X2)),
    inference(resolution,[],[f20,f5]) ).

fof(f20,plain,
    ! [X2,X0,X1] :
      ( ~ p2(X0,X1)
      | p2(f8(X0,X2),f8(X1,X2)) ),
    inference(resolution,[],[f8,f1]) ).

fof(f1,axiom,
    ! [X0] : p2(X0,X0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_1) ).

fof(f8,axiom,
    ! [X10,X11,X9,X12] :
      ( ~ p2(X10,X12)
      | ~ p2(X9,X11)
      | p2(f8(X9,X10),f8(X11,X12)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_8) ).

fof(f17,plain,
    ! [X2,X3,X0,X1] :
      ( ~ p2(X0,f8(X1,f8(X2,X3)))
      | p2(X0,f8(f8(X1,X2),X3)) ),
    inference(resolution,[],[f7,f6]) ).

fof(f7,axiom,
    ! [X8,X6,X7] : p2(f8(X6,f8(X7,X8)),f8(f8(X6,X7),X8)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_7) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11  % Problem    : SYN553-1 : TPTP v8.2.0. Released v2.5.0.
% 0.03/0.12  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.11/0.33  % Computer : n026.cluster.edu
% 0.11/0.33  % Model    : x86_64 x86_64
% 0.11/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33  % Memory   : 8042.1875MB
% 0.11/0.33  % 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 13:53:38 EDT 2024
% 0.11/0.33  % CPUTime    : 
% 0.11/0.33  % (19084)Running in auto input_syntax mode. Trying TPTP
% 0.11/0.35  % (19089)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.11/0.35  % (19086)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.11/0.35  % (19090)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.11/0.35  % (19085)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.11/0.35  % (19091)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)
% 0.11/0.35  % (19088)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.11/0.35  % (19087)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)
% 0.11/0.35  Detected minimum model sizes of [1,1]
% 0.11/0.35  TRYING [1]
% 0.11/0.35  TRYING [1]
% 0.11/0.35  Detected minimum model sizes of [1,1]
% 0.11/0.35  Detected maximum model sizes of [max,1]
% 0.11/0.35  TRYING [1,1]
% 0.11/0.35  Detected maximum model sizes of [max,1]
% 0.11/0.35  TRYING [1,1]
% 0.11/0.35  TRYING [2]
% 0.11/0.35  TRYING [2]
% 0.11/0.35  TRYING [2,1]
% 0.11/0.35  TRYING [2,1]
% 0.11/0.35  TRYING [3]
% 0.11/0.35  TRYING [3,1]
% 0.11/0.35  TRYING [3]
% 0.11/0.35  TRYING [3,1]
% 0.19/0.36  TRYING [4]
% 0.19/0.36  TRYING [4,1]
% 0.19/0.36  TRYING [4,1]
% 0.19/0.36  TRYING [4]
% 0.19/0.36  % (19089)First to succeed.
% 0.19/0.36  % (19089)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-19084"
% 0.19/0.37  % (19089)Refutation found. Thanks to Tanya!
% 0.19/0.37  % SZS status Unsatisfiable for theBenchmark
% 0.19/0.37  % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.37  % (19089)------------------------------
% 0.19/0.37  % (19089)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.19/0.37  % (19089)Termination reason: Refutation
% 0.19/0.37  
% 0.19/0.37  % (19089)Memory used [KB]: 906
% 0.19/0.37  % (19089)Time elapsed: 0.017 s
% 0.19/0.37  % (19089)Instructions burned: 29 (million)
% 0.19/0.37  % (19084)Success in time 0.031 s
%------------------------------------------------------------------------------