TSTP Solution File: LCL064-2 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : LCL064-2 : 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 : n017.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 17:18:50 EDT 2023

% Result   : Unsatisfiable 0.17s 0.46s
% Output   : Refutation 0.17s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   13 (   6 unt;   0 def)
%            Number of atoms       :   22 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   19 (  10   ~;   9   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   5 avg)
%            Maximal term depth    :    4 (   2 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-1 aty)
%            Number of functors    :    4 (   4 usr;   3 con; 0-2 aty)
%            Number of variables   :   30 (;  30   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1147,plain,
    $false,
    inference(resolution,[],[f206,f4]) ).

fof(f4,axiom,
    ~ is_a_theorem(implies(implies(a,b),implies(implies(b,c),implies(a,c)))),
    file('/export/starexec/sandbox2/tmp/tmp.GDrR0gi2sz/Vampire---4.8_7756',prove_cn_1) ).

fof(f206,plain,
    ! [X31,X32,X30] : is_a_theorem(implies(implies(X30,X31),implies(implies(X31,X32),implies(X30,X32)))),
    inference(resolution,[],[f33,f32]) ).

fof(f32,plain,
    ! [X2,X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(implies(X2,X0),implies(X2,X1)))),
    inference(resolution,[],[f17,f3]) ).

fof(f3,axiom,
    ! [X2,X0,X1] : is_a_theorem(implies(implies(X0,implies(X1,X2)),implies(implies(X0,X1),implies(X0,X2)))),
    file('/export/starexec/sandbox2/tmp/tmp.GDrR0gi2sz/Vampire---4.8_7756',cn_35) ).

fof(f17,plain,
    ! [X2,X3,X1] :
      ( ~ is_a_theorem(implies(implies(X3,X1),X2))
      | is_a_theorem(implies(X1,X2)) ),
    inference(resolution,[],[f12,f5]) ).

fof(f5,plain,
    ! [X0,X1] :
      ( is_a_theorem(implies(X0,X1))
      | ~ is_a_theorem(X1) ),
    inference(resolution,[],[f1,f2]) ).

fof(f2,axiom,
    ! [X0,X1] : is_a_theorem(implies(X0,implies(X1,X0))),
    file('/export/starexec/sandbox2/tmp/tmp.GDrR0gi2sz/Vampire---4.8_7756',cn_18) ).

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.GDrR0gi2sz/Vampire---4.8_7756',condensed_detachment) ).

fof(f12,plain,
    ! [X2,X0,X1] :
      ( ~ is_a_theorem(implies(X0,implies(implies(X2,X0),X1)))
      | is_a_theorem(implies(X0,X1)) ),
    inference(resolution,[],[f11,f2]) ).

fof(f11,plain,
    ! [X2,X0,X1] :
      ( ~ is_a_theorem(implies(X0,X1))
      | is_a_theorem(implies(X0,X2))
      | ~ is_a_theorem(implies(X0,implies(X1,X2))) ),
    inference(resolution,[],[f9,f1]) ).

fof(f9,plain,
    ! [X2,X0,X1] :
      ( is_a_theorem(implies(implies(X0,X1),implies(X0,X2)))
      | ~ is_a_theorem(implies(X0,implies(X1,X2))) ),
    inference(resolution,[],[f3,f1]) ).

fof(f33,plain,
    ! [X3,X4,X5] :
      ( ~ is_a_theorem(implies(X4,implies(X3,X5)))
      | is_a_theorem(implies(X3,implies(X4,X5))) ),
    inference(resolution,[],[f17,f9]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.13  % Problem    : LCL064-2 : TPTP v8.1.2. Released v1.0.0.
% 0.05/0.14  % Command    : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.11/0.34  % Computer : n017.cluster.edu
% 0.11/0.34  % Model    : x86_64 x86_64
% 0.11/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.34  % Memory   : 8042.1875MB
% 0.11/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.34  % CPULimit   : 300
% 0.11/0.34  % WCLimit    : 300
% 0.11/0.34  % DateTime   : Wed Aug 30 14:20:44 EDT 2023
% 0.11/0.34  % CPUTime    : 
% 0.17/0.40  % (7864)Running in auto input_syntax mode. Trying TPTP
% 0.17/0.41  % (7865)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on Vampire---4 for (1451ds/0Mi)
% 0.17/0.41  % (7870)dis+11_4:5_nm=4_216 on Vampire---4 for (216ds/0Mi)
% 0.17/0.41  % (7869)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on Vampire---4 for (396ds/0Mi)
% 0.17/0.41  % (7868)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on Vampire---4 for (470ds/0Mi)
% 0.17/0.41  % (7871)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)
% 0.17/0.41  % (7866)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on Vampire---4 for (569ds/0Mi)
% 0.17/0.41  % (7867)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)
% 0.17/0.41  TRYING [1]
% 0.17/0.41  TRYING [2]
% 0.17/0.41  TRYING [1]
% 0.17/0.41  TRYING [1]
% 0.17/0.41  TRYING [1]
% 0.17/0.41  TRYING [2]
% 0.17/0.41  TRYING [2]
% 0.17/0.41  TRYING [2]
% 0.17/0.41  TRYING [3]
% 0.17/0.41  TRYING [3]
% 0.17/0.41  TRYING [3]
% 0.17/0.41  TRYING [3]
% 0.17/0.41  TRYING [4]
% 0.17/0.41  TRYING [4]
% 0.17/0.41  TRYING [4]
% 0.17/0.42  TRYING [4]
% 0.17/0.43  TRYING [5]
% 0.17/0.44  TRYING [5]
% 0.17/0.44  TRYING [5]
% 0.17/0.44  TRYING [5]
% 0.17/0.46  % (7870)First to succeed.
% 0.17/0.46  % (7870)Refutation found. Thanks to Tanya!
% 0.17/0.46  % SZS status Unsatisfiable for Vampire---4
% 0.17/0.46  % SZS output start Proof for Vampire---4
% See solution above
% 0.17/0.46  % (7870)------------------------------
% 0.17/0.46  % (7870)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.17/0.46  % (7870)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.17/0.46  % (7870)Termination reason: Refutation
% 0.17/0.46  
% 0.17/0.46  % (7870)Memory used [KB]: 6140
% 0.17/0.46  % (7870)Time elapsed: 0.055 s
% 0.17/0.46  % (7870)------------------------------
% 0.17/0.46  % (7870)------------------------------
% 0.17/0.46  % (7864)Success in time 0.119 s
% 0.17/0.46  % Vampire---4.8 exiting
%------------------------------------------------------------------------------