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

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---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 : n007.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 : Thu Aug 31 08:21:32 EDT 2023

% Result   : Unsatisfiable 0.21s 0.43s
% Output   : Refutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   11 (   7 unt;   0 def)
%            Number of atoms       :   17 (   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    :    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   :   17 (;  17   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f206,plain,
    $false,
    inference(resolution,[],[f87,f2]) ).

fof(f2,axiom,
    ! [X0,X1] : is_a_theorem(implies(X0,implies(not(X0),X1))),
    file('/export/starexec/sandbox/tmp/tmp.LfBMHYWt7e/Vampire---4.8_7936',cn_3) ).

fof(f87,plain,
    ~ is_a_theorem(implies(a,implies(not(a),b))),
    inference(forward_literal_rewriting,[],[f83,f14]) ).

fof(f14,plain,
    ! [X2,X0,X1] :
      ( is_a_theorem(implies(X0,implies(X1,X2)))
      | ~ is_a_theorem(implies(X1,implies(X0,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.LfBMHYWt7e/Vampire---4.8_7936',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.LfBMHYWt7e/Vampire---4.8_7936',cn_21) ).

fof(f83,plain,
    ~ is_a_theorem(implies(not(a),implies(a,b))),
    inference(resolution,[],[f38,f7]) ).

fof(f7,axiom,
    ~ is_a_theorem(implies(implies(a,implies(a,b)),implies(a,b))),
    file('/export/starexec/sandbox/tmp/tmp.LfBMHYWt7e/Vampire---4.8_7936',prove_cn_30) ).

fof(f38,plain,
    ! [X14,X13] :
      ( is_a_theorem(implies(implies(X13,X14),X14))
      | ~ is_a_theorem(implies(not(X13),X14)) ),
    inference(resolution,[],[f19,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.LfBMHYWt7e/Vampire---4.8_7936',cn_54) ).

fof(f19,plain,
    ! [X2,X0,X1] :
      ( ~ is_a_theorem(implies(X0,implies(X1,X2)))
      | is_a_theorem(implies(X0,X2))
      | ~ is_a_theorem(X1) ),
    inference(resolution,[],[f14,f1]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : LCL041-1 : TPTP v8.1.2. Released v1.0.0.
% 0.07/0.15  % Command    : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.15/0.36  % Computer : n007.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   : Thu Aug 24 17:59:40 EDT 2023
% 0.15/0.36  % CPUTime    : 
% 0.15/0.36  This is a CNF_UNS_RFO_NEQ_HRN problem
% 0.15/0.36  Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/tmp/tmp.LfBMHYWt7e/Vampire---4.8_7936
% 0.15/0.36  % (8184)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.42  % (8188)dis-1_128_add=large:amm=sco:anc=all_dependent:bs=on:bsr=on:bce=on:cond=fast:fsr=off:gsp=on:gs=on:gsem=off:lcm=predicate:lma=on:nm=32:nwc=4.0:nicw=on:sac=on:sp=weighted_frequency_692 on Vampire---4 for (692ds/0Mi)
% 0.21/0.42  % (8187)lrs+11_4:3_aac=none:add=off:amm=off:anc=none:bd=preordered:bs=on:bce=on:flr=on:fsd=off:fsr=off:fde=none:nwc=2.5:sims=off:sp=reverse_arity:tgt=full:stl=188_1106 on Vampire---4 for (1106ds/0Mi)
% 0.21/0.42  % (8190)ott+10_8_br=off:cond=on:fsr=off:gsp=on:nm=16:nwc=3.0:sims=off:sp=reverse_frequency:urr=on_415 on Vampire---4 for (415ds/0Mi)
% 0.21/0.42  % (8186)dis-1002_1_av=off:bsr=on:cond=on:flr=on:fsr=off:gsp=on:nwc=2.0:sims=off_1218 on Vampire---4 for (1218ds/0Mi)
% 0.21/0.42  % (8191)dis+3_1024_av=off:fsr=off:gsp=on:lcm=predicate:nm=4:sos=all:sp=weighted_frequency_338 on Vampire---4 for (338ds/0Mi)
% 0.21/0.42  % (8189)ott-1010_5_add=off:amm=off:anc=none:bce=on:cond=fast:flr=on:lma=on:nm=2:nwc=1.1:sp=occurrence:tgt=ground_470 on Vampire---4 for (470ds/0Mi)
% 0.21/0.43  % (8185)lrs-1_7_acc=on:amm=off:anc=all:bs=on:bsr=on:cond=fast:flr=on:fsr=off:gsp=on:lcm=reverse:lma=on:msp=off:nm=0:nwc=1.2:sp=frequency:stl=188_1354 on Vampire---4 for (1354ds/0Mi)
% 0.21/0.43  % (8186)First to succeed.
% 0.21/0.43  % (8186)Refutation found. Thanks to Tanya!
% 0.21/0.43  % SZS status Unsatisfiable for Vampire---4
% 0.21/0.43  % SZS output start Proof for Vampire---4
% See solution above
% 0.21/0.43  % (8186)------------------------------
% 0.21/0.43  % (8186)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.21/0.43  % (8186)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.21/0.43  % (8186)Termination reason: Refutation
% 0.21/0.43  
% 0.21/0.43  % (8186)Memory used [KB]: 1023
% 0.21/0.43  % (8186)Time elapsed: 0.010 s
% 0.21/0.43  % (8186)------------------------------
% 0.21/0.43  % (8186)------------------------------
% 0.21/0.43  % (8184)Success in time 0.07 s
% 0.21/0.43  % Vampire---4.8 exiting
%------------------------------------------------------------------------------