TSTP Solution File: LCL041-1 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : LCL041-1 : TPTP v8.1.2. Released v1.0.0.
% 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 : n016.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 17:18:46 EDT 2023

% Result   : Unsatisfiable 0.22s 0.43s
% Output   : Refutation 0.22s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   11 (   8 unt;   0 def)
%            Number of atoms       :   15 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   10 (   6   ~;   4   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   3 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   :   18 (;  18   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f221,plain,
    $false,
    inference(subsumption_resolution,[],[f213,f30]) ).

fof(f30,plain,
    ! [X2,X3] : is_a_theorem(implies(not(X2),implies(X2,X3))),
    inference(resolution,[],[f14,f2]) ).

fof(f2,axiom,
    ! [X0,X1] : is_a_theorem(implies(X0,implies(not(X0),X1))),
    file('/export/starexec/sandbox/tmp/tmp.0fPcbKsxsJ/Vampire---4.8_2662',cn_3) ).

fof(f14,plain,
    ! [X2,X0,X1] :
      ( ~ is_a_theorem(implies(X1,implies(X0,X2)))
      | is_a_theorem(implies(X0,implies(X1,X2))) ),
    inference(resolution,[],[f4,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.0fPcbKsxsJ/Vampire---4.8_2662',condensed_detachment) ).

fof(f4,axiom,
    ! [X2,X0,X1] : is_a_theorem(implies(implies(X0,implies(X1,X2)),implies(X1,implies(X0,X2)))),
    file('/export/starexec/sandbox/tmp/tmp.0fPcbKsxsJ/Vampire---4.8_2662',cn_21) ).

fof(f213,plain,
    ~ is_a_theorem(implies(not(a),implies(a,b))),
    inference(resolution,[],[f71,f7]) ).

fof(f7,axiom,
    ~ is_a_theorem(implies(implies(a,implies(a,b)),implies(a,b))),
    file('/export/starexec/sandbox/tmp/tmp.0fPcbKsxsJ/Vampire---4.8_2662',prove_cn_30) ).

fof(f71,plain,
    ! [X2,X3] :
      ( is_a_theorem(implies(implies(X2,X3),X3))
      | ~ is_a_theorem(implies(not(X2),X3)) ),
    inference(resolution,[],[f32,f1]) ).

fof(f32,plain,
    ! [X8,X7] : is_a_theorem(implies(implies(not(X7),X8),implies(implies(X7,X8),X8))),
    inference(resolution,[],[f14,f6]) ).

fof(f6,axiom,
    ! [X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(implies(not(X0),X1),X1))),
    file('/export/starexec/sandbox/tmp/tmp.0fPcbKsxsJ/Vampire---4.8_2662',cn_54) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13  % Problem    : LCL041-1 : TPTP v8.1.2. Released v1.0.0.
% 0.11/0.15  % Command    : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.15/0.36  % Computer : n016.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 15:17:32 EDT 2023
% 0.15/0.36  % CPUTime    : 
% 0.22/0.42  % (2917)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.42  % (2923)dis+11_4:5_nm=4_216 on Vampire---4 for (216ds/0Mi)
% 0.22/0.43  % (2918)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on Vampire---4 for (1451ds/0Mi)
% 0.22/0.43  % (2919)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on Vampire---4 for (569ds/0Mi)
% 0.22/0.43  % (2920)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)
% 0.22/0.43  % (2921)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on Vampire---4 for (470ds/0Mi)
% 0.22/0.43  % (2922)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on Vampire---4 for (396ds/0Mi)
% 0.22/0.43  % (2924)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)
% 0.22/0.43  TRYING [1]
% 0.22/0.43  TRYING [1]
% 0.22/0.43  TRYING [2]
% 0.22/0.43  TRYING [1]
% 0.22/0.43  TRYING [2]
% 0.22/0.43  TRYING [2]
% 0.22/0.43  TRYING [1]
% 0.22/0.43  TRYING [2]
% 0.22/0.43  TRYING [3]
% 0.22/0.43  TRYING [3]
% 0.22/0.43  TRYING [3]
% 0.22/0.43  TRYING [3]
% 0.22/0.43  % (2923)First to succeed.
% 0.22/0.43  % (2923)Refutation found. Thanks to Tanya!
% 0.22/0.43  % SZS status Unsatisfiable for Vampire---4
% 0.22/0.43  % SZS output start Proof for Vampire---4
% See solution above
% 0.22/0.43  % (2923)------------------------------
% 0.22/0.43  % (2923)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.22/0.43  % (2923)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.22/0.43  % (2923)Termination reason: Refutation
% 0.22/0.43  
% 0.22/0.43  % (2923)Memory used [KB]: 5500
% 0.22/0.43  % (2923)Time elapsed: 0.008 s
% 0.22/0.43  % (2923)------------------------------
% 0.22/0.43  % (2923)------------------------------
% 0.22/0.43  % (2917)Success in time 0.065 s
% 0.22/0.43  % Vampire---4.8 exiting
%------------------------------------------------------------------------------