TSTP Solution File: LCL129-1 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : LCL129-1 : TPTP v8.2.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s

% Computer : n024.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 00:24:52 EDT 2024

% Result   : Unsatisfiable 210.91s 30.43s
% Output   : Refutation 210.91s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   15
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   24 (  16 unt;   0 def)
%            Number of atoms       :   33 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   19 (  10   ~;   9   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   5 avg)
%            Maximal term depth    :    7 (   2 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-1 aty)
%            Number of functors    :    5 (   5 usr;   4 con; 0-2 aty)
%            Number of variables   :   85 (  85   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f717685,plain,
    $false,
    inference(resolution,[],[f717258,f3]) ).

fof(f3,axiom,
    ~ is_a_theorem(equivalent(a,equivalent(a,equivalent(equivalent(b,c),equivalent(equivalent(b,e),equivalent(c,e)))))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_lg_2) ).

fof(f717258,plain,
    ! [X2,X3,X0,X1] : is_a_theorem(equivalent(X0,equivalent(X0,equivalent(equivalent(X1,X2),equivalent(equivalent(X1,X3),equivalent(X2,X3)))))),
    inference(resolution,[],[f232470,f10942]) ).

fof(f10942,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X2),equivalent(X3,X4)),equivalent(X5,X3)),equivalent(X4,X5)),equivalent(X1,X2)))
      | is_a_theorem(equivalent(X0,X1)) ),
    inference(resolution,[],[f926,f1]) ).

fof(f1,axiom,
    ! [X0,X1] :
      ( ~ is_a_theorem(equivalent(X0,X1))
      | is_a_theorem(X1)
      | ~ is_a_theorem(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',condensed_detachment) ).

fof(f926,plain,
    ! [X2,X3,X0,X1,X4,X5] : is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X2,X3)),equivalent(X4,X2)),equivalent(X3,X4)),equivalent(X5,X1)),equivalent(X0,X5))),
    inference(resolution,[],[f30,f4]) ).

fof(f4,plain,
    ! [X2,X3,X0,X1] :
      ( ~ is_a_theorem(equivalent(X0,equivalent(X3,X2)))
      | is_a_theorem(equivalent(equivalent(X0,equivalent(X1,X2)),equivalent(X3,X1))) ),
    inference(resolution,[],[f2,f1]) ).

fof(f2,axiom,
    ! [X2,X3,X0,X1] : is_a_theorem(equivalent(equivalent(X0,equivalent(X1,X2)),equivalent(equivalent(X0,equivalent(X3,X2)),equivalent(X1,X3)))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',s_4) ).

fof(f30,plain,
    ! [X2,X3,X0,X1] : is_a_theorem(equivalent(equivalent(equivalent(equivalent(X0,equivalent(X1,X2)),equivalent(X3,X1)),equivalent(X2,X3)),X0)),
    inference(resolution,[],[f12,f7]) ).

fof(f7,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ is_a_theorem(equivalent(equivalent(X0,equivalent(X4,X2)),equivalent(X3,equivalent(X4,X1))))
      | is_a_theorem(equivalent(equivalent(X0,equivalent(X1,X2)),X3)) ),
    inference(resolution,[],[f5,f1]) ).

fof(f5,plain,
    ! [X2,X3,X0,X1,X4] : is_a_theorem(equivalent(equivalent(equivalent(X0,equivalent(X1,X2)),equivalent(X3,equivalent(X1,X4))),equivalent(equivalent(X0,equivalent(X4,X2)),X3))),
    inference(resolution,[],[f4,f2]) ).

fof(f12,plain,
    ! [X2,X0,X1] : is_a_theorem(equivalent(equivalent(equivalent(X0,equivalent(X1,X2)),equivalent(X2,X1)),X0)),
    inference(resolution,[],[f9,f7]) ).

fof(f9,plain,
    ! [X0,X1] : is_a_theorem(equivalent(equivalent(X0,equivalent(X1,X1)),X0)),
    inference(resolution,[],[f8,f7]) ).

fof(f8,plain,
    ! [X2,X0,X1] : is_a_theorem(equivalent(equivalent(X0,equivalent(X1,X2)),equivalent(X0,equivalent(X1,X2)))),
    inference(resolution,[],[f7,f2]) ).

fof(f232470,plain,
    ! [X2,X3,X0,X1,X4] : is_a_theorem(equivalent(equivalent(equivalent(equivalent(X0,equivalent(X1,X2)),X3),X4),equivalent(X0,equivalent(X4,equivalent(equivalent(X2,X1),X3))))),
    inference(resolution,[],[f101878,f102]) ).

fof(f102,plain,
    ! [X2,X3,X0,X1] : is_a_theorem(equivalent(equivalent(equivalent(equivalent(X0,equivalent(X1,X2)),equivalent(X2,X1)),X3),equivalent(X0,X3))),
    inference(resolution,[],[f86,f12]) ).

fof(f86,plain,
    ! [X2,X0,X1] :
      ( ~ is_a_theorem(equivalent(X0,X2))
      | is_a_theorem(equivalent(equivalent(X0,X1),equivalent(X2,X1))) ),
    inference(resolution,[],[f46,f1]) ).

fof(f46,plain,
    ! [X2,X0,X1] : is_a_theorem(equivalent(equivalent(X0,X1),equivalent(equivalent(X0,X2),equivalent(X1,X2)))),
    inference(resolution,[],[f40,f2]) ).

fof(f40,plain,
    ! [X2,X0,X1] :
      ( ~ is_a_theorem(equivalent(equivalent(X2,X2),equivalent(X1,X0)))
      | is_a_theorem(equivalent(X0,X1)) ),
    inference(resolution,[],[f33,f1]) ).

fof(f33,plain,
    ! [X2,X0,X1] : is_a_theorem(equivalent(equivalent(equivalent(X0,X0),equivalent(X1,X2)),equivalent(X2,X1))),
    inference(resolution,[],[f12,f13]) ).

fof(f13,plain,
    ! [X0,X1] :
      ( ~ is_a_theorem(equivalent(X0,equivalent(X1,X1)))
      | is_a_theorem(X0) ),
    inference(resolution,[],[f9,f1]) ).

fof(f101878,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ is_a_theorem(equivalent(equivalent(equivalent(X0,X4),equivalent(X2,equivalent(X4,X1))),X3))
      | is_a_theorem(equivalent(equivalent(equivalent(X0,X1),X2),X3)) ),
    inference(resolution,[],[f1066,f1]) ).

fof(f1066,plain,
    ! [X2,X3,X0,X1,X4] : is_a_theorem(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X2,equivalent(X1,X3))),X4),equivalent(equivalent(equivalent(X0,X3),X2),X4))),
    inference(resolution,[],[f84,f86]) ).

fof(f84,plain,
    ! [X2,X3,X0,X1] : is_a_theorem(equivalent(equivalent(equivalent(X0,X1),equivalent(X2,equivalent(X1,X3))),equivalent(equivalent(X0,X3),X2))),
    inference(resolution,[],[f46,f4]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10  % Problem    : LCL129-1 : TPTP v8.2.0. Released v1.0.0.
% 0.10/0.11  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.11/0.31  % Computer : n024.cluster.edu
% 0.11/0.31  % Model    : x86_64 x86_64
% 0.11/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.31  % Memory   : 8042.1875MB
% 0.11/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.31  % CPULimit   : 300
% 0.11/0.31  % WCLimit    : 300
% 0.11/0.31  % DateTime   : Mon May 20 00:45:53 EDT 2024
% 0.11/0.32  % CPUTime    : 
% 0.11/0.32  % (1460)Running in auto input_syntax mode. Trying TPTP
% 0.16/0.33  % (1466)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.16/0.33  % (1467)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.16/0.33  % (1468)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)
% 0.16/0.33  % (1464)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.16/0.33  % (1463)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)
% 0.16/0.33  % (1462)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.16/0.33  % (1461)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.16/0.33  TRYING [1]
% 0.16/0.33  TRYING [1]
% 0.16/0.33  TRYING [1]
% 0.16/0.33  TRYING [2]
% 0.16/0.33  TRYING [2]
% 0.16/0.33  TRYING [2]
% 0.16/0.33  TRYING [1]
% 0.16/0.33  TRYING [2]
% 0.16/0.34  TRYING [3]
% 0.16/0.34  TRYING [3]
% 0.16/0.34  TRYING [3]
% 0.16/0.34  TRYING [3]
% 0.16/0.35  TRYING [4]
% 0.16/0.35  TRYING [4]
% 0.16/0.35  TRYING [4]
% 0.16/0.36  TRYING [4]
% 3.39/0.80  TRYING [5]
% 3.39/0.81  TRYING [5]
% 3.39/0.84  TRYING [5]
% 3.39/0.85  TRYING [5]
% 107.75/15.76  TRYING [6]
% 116.21/16.90  TRYING [6]
% 116.21/16.97  TRYING [6]
% 116.80/16.99  TRYING [6]
% 151.51/22.03  % (1467)Time limit reached!
% 151.51/22.03  % (1467)------------------------------
% 151.51/22.03  % (1467)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 151.51/22.03  % (1467)Termination reason: Time limit
% 151.51/22.03  % (1467)Termination phase: Saturation
% 151.51/22.03  
% 151.51/22.03  % (1467)Memory used [KB]: 82175
% 151.51/22.03  % (1467)Time elapsed: 21.700 s
% 151.51/22.03  % (1467)Instructions burned: 58093 (million)
% 151.51/22.03  % (1467)------------------------------
% 151.51/22.03  % (1467)------------------------------
% 152.20/22.06  % (2092)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:si=on:rtra=on:rawr=on:rp=on:fmbksg=on_569 on theBenchmark for (569ds/0Mi)
% 152.20/22.06  TRYING [1]
% 152.20/22.06  TRYING [2]
% 152.20/22.06  TRYING [3]
% 152.20/22.08  TRYING [4]
% 155.58/22.54  TRYING [5]
% 210.30/30.41  % (1466)First to succeed.
% 210.30/30.41  % (1466)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1460"
% 210.91/30.43  % (1466)Refutation found. Thanks to Tanya!
% 210.91/30.43  % SZS status Unsatisfiable for theBenchmark
% 210.91/30.43  % SZS output start Proof for theBenchmark
% See solution above
% 210.91/30.43  % (1466)------------------------------
% 210.91/30.43  % (1466)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 210.91/30.43  % (1466)Termination reason: Refutation
% 210.91/30.43  
% 210.91/30.43  % (1466)Memory used [KB]: 185346
% 210.91/30.43  % (1466)Time elapsed: 30.081 s
% 210.91/30.43  % (1466)Instructions burned: 71589 (million)
% 210.91/30.43  % (1460)Success in time 30.108 s
%------------------------------------------------------------------------------