TSTP Solution File: LCL178-1 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : LCL178-1 : TPTP v8.1.2. Released v1.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s

% Computer : n032.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 : Tue Apr 30 13:40:45 EDT 2024

% Result   : Unsatisfiable 0.12s 0.30s
% Output   : Refutation 0.12s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   15 (  10 unt;   0 def)
%            Number of atoms       :   21 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   13 (   7   ~;   6   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   3 avg)
%            Maximal term depth    :    6 (   2 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-1 aty)
%            Number of functors    :    3 (   3 usr;   1 con; 0-2 aty)
%            Number of variables   :   25 (  25   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f50,plain,
    $false,
    inference(resolution,[],[f47,f9]) ).

fof(f9,axiom,
    ~ theorem(or(not(p),not(not(p)))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).

fof(f47,plain,
    ! [X0] : theorem(or(X0,not(X0))),
    inference(resolution,[],[f43,f3]) ).

fof(f3,axiom,
    ! [X0,X1] : axiom(or(not(or(X0,X1)),or(X1,X0))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_1_4) ).

fof(f43,plain,
    ! [X0,X1] :
      ( ~ axiom(or(not(or(not(X1),X1)),X0))
      | theorem(X0) ),
    inference(resolution,[],[f34,f7]) ).

fof(f7,axiom,
    ! [X3,X4] :
      ( ~ theorem(X4)
      | theorem(X3)
      | ~ axiom(or(not(X4),X3)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_2) ).

fof(f34,plain,
    ! [X0] : theorem(or(not(X0),X0)),
    inference(resolution,[],[f33,f1]) ).

fof(f1,axiom,
    ! [X0] : axiom(or(not(or(X0,X0)),X0)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_1_2) ).

fof(f33,plain,
    ! [X2,X0,X1] :
      ( ~ axiom(or(not(or(X1,or(not(X2),X2))),X0))
      | theorem(X0) ),
    inference(resolution,[],[f31,f7]) ).

fof(f31,plain,
    ! [X0,X1] : theorem(or(X0,or(not(X1),X1))),
    inference(resolution,[],[f4,f14]) ).

fof(f14,plain,
    ! [X2,X0,X1] :
      ( ~ axiom(or(not(or(not(X1),or(X2,X1))),X0))
      | theorem(X0) ),
    inference(resolution,[],[f7,f11]) ).

fof(f11,plain,
    ! [X0,X1] : theorem(or(not(X0),or(X1,X0))),
    inference(resolution,[],[f2,f6]) ).

fof(f6,axiom,
    ! [X3] :
      ( ~ axiom(X3)
      | theorem(X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_1) ).

fof(f2,axiom,
    ! [X0,X1] : axiom(or(not(X0),or(X1,X0))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_1_3) ).

fof(f4,axiom,
    ! [X2,X0,X1] : axiom(or(not(or(X0,or(X1,X2))),or(X1,or(X0,X2)))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_1_5) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.08  % Problem    : LCL178-1 : TPTP v8.1.2. Released v1.1.0.
% 0.00/0.09  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.08/0.28  % Computer : n032.cluster.edu
% 0.08/0.28  % Model    : x86_64 x86_64
% 0.08/0.28  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.28  % Memory   : 8042.1875MB
% 0.08/0.28  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.08/0.28  % CPULimit   : 300
% 0.08/0.28  % WCLimit    : 300
% 0.08/0.28  % DateTime   : Mon Apr 29 23:01:51 EDT 2024
% 0.08/0.28  % CPUTime    : 
% 0.08/0.29  % (29214)Running in auto input_syntax mode. Trying TPTP
% 0.12/0.30  % (29220)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 theBenchmark for (476ds/0Mi)
% 0.12/0.30  % (29222)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.12/0.30  % (29218)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.12/0.30  % (29221)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.12/0.30  % (29223)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.12/0.30  % (29222)First to succeed.
% 0.12/0.30  TRYING [1]
% 0.12/0.30  TRYING [2]
% 0.12/0.30  % (29220)Also succeeded, but the first one will report.
% 0.12/0.30  % (29222)Refutation found. Thanks to Tanya!
% 0.12/0.30  % SZS status Unsatisfiable for theBenchmark
% 0.12/0.30  % SZS output start Proof for theBenchmark
% See solution above
% 0.12/0.30  % (29222)------------------------------
% 0.12/0.30  % (29222)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.12/0.30  % (29222)Termination reason: Refutation
% 0.12/0.30  
% 0.12/0.30  % (29222)Memory used [KB]: 769
% 0.12/0.30  % (29222)Time elapsed: 0.002 s
% 0.12/0.30  % (29222)Instructions burned: 3 (million)
% 0.12/0.30  % (29222)------------------------------
% 0.12/0.30  % (29222)------------------------------
% 0.12/0.30  % (29214)Success in time 0.011 s
%------------------------------------------------------------------------------