TSTP Solution File: LCL069-1 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : LCL069-1 : TPTP v8.1.2. Bugfixed v1.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s

% Computer : n006.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 : Fri Sep  1 17:18:51 EDT 2023

% Result   : Unsatisfiable 0.21s 0.48s
% Output   : Refutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   23 (  13 unt;   0 def)
%            Number of atoms       :   36 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   27 (  14   ~;  13   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   5 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-1 aty)
%            Number of functors    :    4 (   4 usr;   2 con; 0-2 aty)
%            Number of variables   :   63 (;  63   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1288,plain,
    $false,
    inference(resolution,[],[f1258,f5]) ).

fof(f5,axiom,
    ~ is_a_theorem(implies(a,implies(not(a),b))),
    file('/export/starexec/sandbox/tmp/tmp.lVi3MeU9uh/Vampire---4.8_21145',prove_cn_3) ).

fof(f1258,plain,
    ! [X36,X37] : is_a_theorem(implies(X36,implies(not(X36),X37))),
    inference(resolution,[],[f946,f151]) ).

fof(f151,plain,
    ! [X0] : is_a_theorem(implies(X0,X0)),
    inference(resolution,[],[f123,f2]) ).

fof(f2,axiom,
    ! [X2,X0,X1] : is_a_theorem(implies(implies(implies(X0,X1),X2),implies(X1,X2))),
    file('/export/starexec/sandbox/tmp/tmp.lVi3MeU9uh/Vampire---4.8_21145',cn_19) ).

fof(f123,plain,
    ! [X2,X0,X1] :
      ( ~ is_a_theorem(implies(implies(X2,X0),implies(X0,X1)))
      | is_a_theorem(implies(X0,X1)) ),
    inference(resolution,[],[f85,f2]) ).

fof(f85,plain,
    ! [X10,X8,X9,X7] :
      ( ~ is_a_theorem(implies(implies(X10,X8),X7))
      | is_a_theorem(implies(X8,X9))
      | ~ is_a_theorem(implies(X7,implies(X8,X9))) ),
    inference(resolution,[],[f57,f1]) ).

fof(f1,axiom,
    ! [X0,X1] :
      ( ~ is_a_theorem(implies(X0,X1))
      | is_a_theorem(X1)
      | ~ is_a_theorem(X0) ),
    file('/export/starexec/sandbox/tmp/tmp.lVi3MeU9uh/Vampire---4.8_21145',condensed_detachment) ).

fof(f57,plain,
    ! [X10,X11,X8,X9] :
      ( is_a_theorem(implies(implies(implies(X8,X9),X10),implies(X9,X11)))
      | ~ is_a_theorem(implies(X10,implies(X9,X11))) ),
    inference(resolution,[],[f29,f1]) ).

fof(f29,plain,
    ! [X2,X3,X0,X1] : is_a_theorem(implies(implies(X0,implies(X1,X2)),implies(implies(implies(X3,X1),X0),implies(X1,X2)))),
    inference(resolution,[],[f14,f11]) ).

fof(f11,plain,
    ! [X3,X4,X5] :
      ( ~ is_a_theorem(implies(not(X5),X4))
      | is_a_theorem(implies(implies(X3,X4),implies(implies(X5,X3),X4))) ),
    inference(resolution,[],[f4,f1]) ).

fof(f4,axiom,
    ! [X2,X0,X1] : is_a_theorem(implies(implies(not(X0),X2),implies(implies(X1,X2),implies(implies(X0,X1),X2)))),
    file('/export/starexec/sandbox/tmp/tmp.lVi3MeU9uh/Vampire---4.8_21145',cn_59) ).

fof(f14,plain,
    ! [X2,X0,X1] : is_a_theorem(implies(not(implies(X0,X1)),implies(X1,X2))),
    inference(resolution,[],[f7,f2]) ).

fof(f7,plain,
    ! [X2,X0,X1] :
      ( ~ is_a_theorem(implies(implies(X0,X2),X1))
      | is_a_theorem(implies(not(X0),X1)) ),
    inference(resolution,[],[f3,f1]) ).

fof(f3,axiom,
    ! [X2,X0,X1] : is_a_theorem(implies(implies(implies(X0,X1),X2),implies(not(X0),X2))),
    file('/export/starexec/sandbox/tmp/tmp.lVi3MeU9uh/Vampire---4.8_21145',cn_37) ).

fof(f946,plain,
    ! [X205,X206,X204] :
      ( ~ is_a_theorem(implies(X205,not(X204)))
      | is_a_theorem(implies(X204,implies(X205,X206))) ),
    inference(resolution,[],[f150,f176]) ).

fof(f176,plain,
    ! [X10,X9] : is_a_theorem(implies(not(X9),implies(X9,X10))),
    inference(resolution,[],[f151,f7]) ).

fof(f150,plain,
    ! [X16,X14,X15,X13] :
      ( ~ is_a_theorem(implies(X13,implies(X14,implies(X15,X16))))
      | is_a_theorem(implies(X14,implies(X15,X16)))
      | ~ is_a_theorem(implies(X15,X13)) ),
    inference(resolution,[],[f88,f1]) ).

fof(f88,plain,
    ! [X10,X11,X8,X9] :
      ( is_a_theorem(implies(implies(X8,X9),implies(X10,implies(X8,X11))))
      | ~ is_a_theorem(implies(X9,implies(X10,implies(X8,X11)))) ),
    inference(resolution,[],[f38,f1]) ).

fof(f38,plain,
    ! [X2,X3,X0,X1] : is_a_theorem(implies(implies(X0,implies(X1,implies(X2,X3))),implies(implies(X2,X0),implies(X1,implies(X2,X3))))),
    inference(resolution,[],[f17,f11]) ).

fof(f17,plain,
    ! [X10,X11,X9] : is_a_theorem(implies(not(X9),implies(X10,implies(X9,X11)))),
    inference(resolution,[],[f7,f8]) ).

fof(f8,plain,
    ! [X0,X1] : is_a_theorem(implies(X0,implies(X1,X0))),
    inference(resolution,[],[f6,f2]) ).

fof(f6,plain,
    ! [X2,X0,X1] :
      ( ~ is_a_theorem(implies(implies(X2,X0),X1))
      | is_a_theorem(implies(X0,X1)) ),
    inference(resolution,[],[f2,f1]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.13  % Problem    : LCL069-1 : TPTP v8.1.2. Bugfixed v1.2.0.
% 0.14/0.15  % Command    : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.15/0.36  % Computer : n006.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit   : 300
% 0.15/0.36  % WCLimit    : 300
% 0.15/0.36  % DateTime   : Wed Aug 30 14:44:06 EDT 2023
% 0.15/0.36  % CPUTime    : 
% 0.21/0.42  % (21315)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.43  % (21322)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on Vampire---4 for (1451ds/0Mi)
% 0.21/0.43  % (21324)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 Vampire---4 for (476ds/0Mi)
% 0.21/0.43  % (21323)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on Vampire---4 for (569ds/0Mi)
% 0.21/0.43  % (21325)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on Vampire---4 for (470ds/0Mi)
% 0.21/0.43  % (21326)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on Vampire---4 for (396ds/0Mi)
% 0.21/0.43  % (21327)dis+11_4:5_nm=4_216 on Vampire---4 for (216ds/0Mi)
% 0.21/0.43  % (21328)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2:si=on:rtra=on:rawr=on:rp=on:fmbksg=on_1451 on Vampire---4 for (1451ds/0Mi)
% 0.21/0.43  TRYING [1]
% 0.21/0.43  TRYING [1]
% 0.21/0.43  TRYING [2]
% 0.21/0.43  TRYING [1]
% 0.21/0.43  TRYING [2]
% 0.21/0.43  TRYING [2]
% 0.21/0.43  TRYING [1]
% 0.21/0.43  TRYING [2]
% 0.21/0.43  TRYING [3]
% 0.21/0.43  TRYING [3]
% 0.21/0.43  TRYING [3]
% 0.21/0.43  TRYING [3]
% 0.21/0.43  TRYING [4]
% 0.21/0.44  TRYING [4]
% 0.21/0.44  TRYING [4]
% 0.21/0.44  TRYING [4]
% 0.21/0.48  % (21327)First to succeed.
% 0.21/0.48  % (21327)Refutation found. Thanks to Tanya!
% 0.21/0.48  % SZS status Unsatisfiable for Vampire---4
% 0.21/0.48  % SZS output start Proof for Vampire---4
% See solution above
% 0.21/0.48  % (21327)------------------------------
% 0.21/0.48  % (21327)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.21/0.48  % (21327)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.21/0.48  % (21327)Termination reason: Refutation
% 0.21/0.48  
% 0.21/0.48  % (21327)Memory used [KB]: 6268
% 0.21/0.48  % (21327)Time elapsed: 0.052 s
% 0.21/0.48  % (21327)------------------------------
% 0.21/0.48  % (21327)------------------------------
% 0.21/0.48  % (21315)Success in time 0.111 s
% 0.21/0.48  % Vampire---4.8 exiting
%------------------------------------------------------------------------------