TSTP Solution File: LCL237-1 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : LCL237-1 : TPTP v8.1.2. Bugfixed v2.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s

% Computer : n012.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 13:41:19 EDT 2024

% Result   : Unsatisfiable 11.55s 2.03s
% Output   : Refutation 11.55s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   20
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   29 (  17 unt;   0 def)
%            Number of atoms       :   43 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   29 (  15   ~;  14   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   5 avg)
%            Maximal term depth    :    8 (   2 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-1 aty)
%            Number of functors    :    4 (   4 usr;   2 con; 0-2 aty)
%            Number of variables   :   88 (  88   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f52747,plain,
    $false,
    inference(resolution,[],[f52743,f9]) ).

fof(f9,axiom,
    ~ theorem(or(not(q),or(not(p),not(or(not(p),not(q)))))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).

fof(f52743,plain,
    ! [X0,X1] : theorem(or(X0,or(X1,not(or(X1,X0))))),
    inference(resolution,[],[f52742,f4]) ).

fof(f4,axiom,
    ! [X2,X0,X1] : axiom(or(not(or(X0,or(X1,X2))),or(X1,or(X0,X2)))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_1_5) ).

fof(f52742,plain,
    ! [X2,X0,X1] :
      ( ~ axiom(or(not(or(X1,or(X2,not(or(X1,X2))))),X0))
      | theorem(X0) ),
    inference(resolution,[],[f52737,f7]) ).

fof(f7,axiom,
    ! [X3,X4] :
      ( ~ theorem(X4)
      | theorem(X3)
      | ~ axiom(or(not(X4),X3)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_2) ).

fof(f52737,plain,
    ! [X0,X1] : theorem(or(X0,or(X1,not(or(X0,X1))))),
    inference(resolution,[],[f38732,f1]) ).

fof(f1,axiom,
    ! [X0] : axiom(or(not(or(X0,X0)),X0)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_1_2) ).

fof(f38732,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( ~ axiom(or(not(or(or(X1,or(X2,X3)),or(X4,or(X5,not(or(X1,X2)))))),X0))
      | theorem(X0) ),
    inference(resolution,[],[f38728,f7]) ).

fof(f38728,plain,
    ! [X2,X3,X0,X1,X4] : theorem(or(or(X0,or(X1,X2)),or(X3,or(X4,not(or(X0,X1)))))),
    inference(resolution,[],[f8832,f4]) ).

fof(f8832,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( ~ axiom(or(not(or(X1,or(or(X2,or(X3,X4)),or(X5,not(or(X2,X3)))))),X0))
      | theorem(X0) ),
    inference(resolution,[],[f8829,f7]) ).

fof(f8829,plain,
    ! [X2,X3,X0,X1,X4] : theorem(or(X0,or(or(X1,or(X2,X3)),or(X4,not(or(X1,X2)))))),
    inference(resolution,[],[f6366,f2]) ).

fof(f2,axiom,
    ! [X0,X1] : axiom(or(not(X0),or(X1,X0))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_1_3) ).

fof(f6366,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ axiom(or(not(or(or(X1,or(X2,X3)),or(X4,not(or(X1,X2))))),X0))
      | theorem(X0) ),
    inference(resolution,[],[f6362,f7]) ).

fof(f6362,plain,
    ! [X2,X3,X0,X1] : theorem(or(or(X0,or(X1,X2)),or(X3,not(or(X0,X1))))),
    inference(resolution,[],[f1615,f4]) ).

fof(f1615,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ axiom(or(not(or(X1,or(or(X2,or(X3,X4)),not(or(X2,X3))))),X0))
      | theorem(X0) ),
    inference(resolution,[],[f1613,f7]) ).

fof(f1613,plain,
    ! [X2,X3,X0,X1] : theorem(or(X0,or(or(X1,or(X2,X3)),not(or(X1,X2))))),
    inference(resolution,[],[f1023,f2]) ).

fof(f1023,plain,
    ! [X2,X3,X0,X1] :
      ( ~ axiom(or(not(or(or(X1,or(X2,X3)),not(or(X1,X2)))),X0))
      | theorem(X0) ),
    inference(resolution,[],[f1019,f7]) ).

fof(f1019,plain,
    ! [X2,X0,X1] : theorem(or(or(X0,or(X1,X2)),not(or(X0,X1)))),
    inference(resolution,[],[f189,f3]) ).

fof(f3,axiom,
    ! [X0,X1] : axiom(or(not(or(X0,X1)),or(X1,X0))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_1_4) ).

fof(f189,plain,
    ! [X2,X3,X0,X1] :
      ( ~ axiom(or(not(or(not(or(X1,X2)),or(X1,or(X2,X3)))),X0))
      | theorem(X0) ),
    inference(resolution,[],[f179,f7]) ).

fof(f179,plain,
    ! [X2,X0,X1] : theorem(or(not(or(X0,X1)),or(X0,or(X1,X2)))),
    inference(resolution,[],[f167,f5]) ).

fof(f5,axiom,
    ! [X2,X0,X1] : axiom(or(not(or(not(X0),X1)),or(not(or(X2,X0)),or(X2,X1)))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_1_6) ).

fof(f167,plain,
    ! [X2,X0,X1] :
      ( ~ axiom(or(not(or(not(X1),or(X1,X2))),X0))
      | theorem(X0) ),
    inference(resolution,[],[f165,f7]) ).

fof(f165,plain,
    ! [X0,X1] : theorem(or(not(X0),or(X0,X1))),
    inference(resolution,[],[f73,f2]) ).

fof(f73,plain,
    ! [X2,X0,X1] :
      ( ~ axiom(or(not(X0),or(X1,X2)))
      | theorem(or(not(X0),or(X2,X1))) ),
    inference(resolution,[],[f8,f12]) ).

fof(f12,plain,
    ! [X0,X1] : theorem(or(not(or(X0,X1)),or(X1,X0))),
    inference(resolution,[],[f3,f6]) ).

fof(f6,axiom,
    ! [X3] :
      ( ~ axiom(X3)
      | theorem(X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_1) ).

fof(f8,axiom,
    ! [X3,X4,X5] :
      ( ~ theorem(or(not(X4),X5))
      | ~ axiom(or(not(X3),X4))
      | theorem(or(not(X3),X5)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_3) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : LCL237-1 : TPTP v8.1.2. Bugfixed v2.3.0.
% 0.03/0.14  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.35  % Computer : n012.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   : Mon Apr 29 22:58:27 EDT 2024
% 0.14/0.35  % CPUTime    : 
% 0.14/0.36  % (14251)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.37  % (14252)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.20/0.37  TRYING [1]
% 0.20/0.37  TRYING [2]
% 0.20/0.37  TRYING [3]
% 0.20/0.37  % (14254)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)
% 0.20/0.37  % (14253)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.20/0.37  % (14255)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.20/0.37  % (14257)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.20/0.37  % (14256)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.20/0.37  % (14258)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)
% 0.20/0.37  TRYING [1]
% 0.20/0.37  TRYING [1]
% 0.20/0.38  TRYING [1]
% 0.20/0.38  TRYING [2]
% 0.20/0.38  TRYING [2]
% 0.20/0.38  TRYING [2]
% 0.20/0.38  TRYING [4]
% 0.20/0.38  TRYING [3]
% 0.20/0.38  TRYING [3]
% 0.20/0.38  TRYING [3]
% 0.20/0.39  TRYING [4]
% 0.20/0.39  TRYING [4]
% 0.20/0.39  TRYING [4]
% 0.20/0.47  TRYING [5]
% 0.20/0.49  TRYING [5]
% 0.20/0.49  TRYING [5]
% 0.20/0.50  TRYING [5]
% 4.05/0.93  TRYING [6]
% 4.05/0.93  TRYING [6]
% 4.05/0.94  TRYING [6]
% 4.05/0.94  TRYING [6]
% 11.55/2.03  % (14256)First to succeed.
% 11.55/2.03  % (14256)Refutation found. Thanks to Tanya!
% 11.55/2.03  % SZS status Unsatisfiable for theBenchmark
% 11.55/2.03  % SZS output start Proof for theBenchmark
% See solution above
% 11.55/2.03  % (14256)------------------------------
% 11.55/2.03  % (14256)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 11.55/2.03  % (14256)Termination reason: Refutation
% 11.55/2.03  
% 11.55/2.03  % (14256)Memory used [KB]: 24855
% 11.55/2.03  % (14256)Time elapsed: 1.657 s
% 11.55/2.03  % (14256)Instructions burned: 4583 (million)
% 11.55/2.03  % (14256)------------------------------
% 11.55/2.03  % (14256)------------------------------
% 11.55/2.03  % (14251)Success in time 1.661 s
%------------------------------------------------------------------------------