TSTP Solution File: LCL046-1 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : LCL046-1 : 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 : n013.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 17:18:47 EDT 2023

% Result   : Unsatisfiable 0.18s 0.44s
% Output   : Refutation 0.18s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   10 (   6 unt;   0 def)
%            Number of atoms       :   16 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   15 (   9   ~;   6   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   4 avg)
%            Maximal term depth    :    4 (   2 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-1 aty)
%            Number of functors    :    3 (   3 usr;   1 con; 0-2 aty)
%            Number of variables   :   16 (;  16   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f28,plain,
    $false,
    inference(resolution,[],[f22,f3]) ).

fof(f3,axiom,
    ! [X0] : is_a_theorem(implies(implies(not(X0),X0),X0)),
    file('/export/starexec/sandbox2/tmp/tmp.V10Lb1592n/Vampire---4.8_5740',cn_2) ).

fof(f22,plain,
    ! [X0] : ~ is_a_theorem(implies(implies(not(a),X0),a)),
    inference(resolution,[],[f19,f4]) ).

fof(f4,axiom,
    ! [X0,X1] : is_a_theorem(implies(X0,implies(not(X0),X1))),
    file('/export/starexec/sandbox2/tmp/tmp.V10Lb1592n/Vampire---4.8_5740',cn_3) ).

fof(f19,plain,
    ! [X0] :
      ( ~ is_a_theorem(implies(a,X0))
      | ~ is_a_theorem(implies(X0,a)) ),
    inference(resolution,[],[f18,f5]) ).

fof(f5,axiom,
    ~ is_a_theorem(implies(a,a)),
    file('/export/starexec/sandbox2/tmp/tmp.V10Lb1592n/Vampire---4.8_5740',prove_cn_16) ).

fof(f18,plain,
    ! [X2,X0,X1] :
      ( is_a_theorem(implies(X0,X2))
      | ~ is_a_theorem(implies(X0,X1))
      | ~ is_a_theorem(implies(X1,X2)) ),
    inference(resolution,[],[f10,f1]) ).

fof(f1,axiom,
    ! [X0,X1] :
      ( ~ is_a_theorem(implies(X0,X1))
      | is_a_theorem(X1)
      | ~ is_a_theorem(X0) ),
    file('/export/starexec/sandbox2/tmp/tmp.V10Lb1592n/Vampire---4.8_5740',condensed_detachment) ).

fof(f10,plain,
    ! [X2,X0,X1] :
      ( is_a_theorem(implies(implies(X0,X1),implies(X2,X1)))
      | ~ is_a_theorem(implies(X2,X0)) ),
    inference(resolution,[],[f2,f1]) ).

fof(f2,axiom,
    ! [X2,X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2)))),
    file('/export/starexec/sandbox2/tmp/tmp.V10Lb1592n/Vampire---4.8_5740',cn_1) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12  % Problem    : LCL046-1 : TPTP v8.1.2. Released v1.0.0.
% 0.10/0.14  % Command    : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.13/0.34  % Computer : n013.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit   : 300
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Wed Aug 30 14:50:46 EDT 2023
% 0.13/0.34  % CPUTime    : 
% 0.18/0.43  % (5884)Running in auto input_syntax mode. Trying TPTP
% 0.18/0.44  % (5888)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on Vampire---4 for (470ds/0Mi)
% 0.18/0.44  % (5889)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on Vampire---4 for (396ds/0Mi)
% 0.18/0.44  % (5886)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on Vampire---4 for (569ds/0Mi)
% 0.18/0.44  % (5885)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on Vampire---4 for (1451ds/0Mi)
% 0.18/0.44  % (5887)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)
% 0.18/0.44  % (5890)dis+11_4:5_nm=4_216 on Vampire---4 for (216ds/0Mi)
% 0.18/0.44  % (5891)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)
% 0.18/0.44  TRYING [1]
% 0.18/0.44  TRYING [1]
% 0.18/0.44  TRYING [1]
% 0.18/0.44  TRYING [1]
% 0.18/0.44  TRYING [2]
% 0.18/0.44  TRYING [2]
% 0.18/0.44  TRYING [2]
% 0.18/0.44  TRYING [2]
% 0.18/0.44  % (5887)First to succeed.
% 0.18/0.44  TRYING [3]
% 0.18/0.44  TRYING [3]
% 0.18/0.44  TRYING [3]
% 0.18/0.44  % (5890)Also succeeded, but the first one will report.
% 0.18/0.44  TRYING [3]
% 0.18/0.44  % (5889)Also succeeded, but the first one will report.
% 0.18/0.44  % (5887)Refutation found. Thanks to Tanya!
% 0.18/0.44  % SZS status Unsatisfiable for Vampire---4
% 0.18/0.44  % SZS output start Proof for Vampire---4
% See solution above
% 0.18/0.44  % (5887)------------------------------
% 0.18/0.44  % (5887)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.18/0.44  % (5887)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.18/0.44  % (5887)Termination reason: Refutation
% 0.18/0.44  
% 0.18/0.44  % (5887)Memory used [KB]: 5373
% 0.18/0.44  % (5887)Time elapsed: 0.003 s
% 0.18/0.44  % (5887)------------------------------
% 0.18/0.44  % (5887)------------------------------
% 0.18/0.44  % (5884)Success in time 0.095 s
% 0.18/0.44  % Vampire---4.8 exiting
%------------------------------------------------------------------------------