TSTP Solution File: LCL197-1 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : LCL197-1 : 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 : n024.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 13:40:52 EDT 2024

% Result   : Unsatisfiable 0.20s 0.37s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   13 (   8 unt;   0 def)
%            Number of atoms       :   20 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   19 (  12   ~;   7   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   4 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of predicates  :    3 (   2 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(f81,plain,
    $false,
    inference(resolution,[],[f60,f1]) ).

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

fof(f60,plain,
    ~ axiom(or(not(or(q,q)),q)),
    inference(resolution,[],[f51,f6]) ).

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

fof(f51,plain,
    ~ theorem(or(not(or(q,q)),q)),
    inference(resolution,[],[f33,f21]) ).

fof(f21,plain,
    ! [X2,X0,X1] :
      ( theorem(or(not(or(X0,X1)),or(X0,X2)))
      | ~ theorem(or(not(X1),X2)) ),
    inference(resolution,[],[f5,f7]) ).

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

fof(f5,axiom,
    ! [X2,X0,X1] : axiom(or(not(or(not(X0),X1)),or(not(or(X2,X0)),or(X2,X1)))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_1_6) ).

fof(f33,plain,
    ~ theorem(or(not(or(p,or(q,q))),or(p,q))),
    inference(resolution,[],[f22,f4]) ).

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

fof(f22,plain,
    ! [X0] :
      ( ~ axiom(or(not(or(q,or(p,q))),X0))
      | ~ theorem(or(not(X0),or(p,q))) ),
    inference(resolution,[],[f8,f9]) ).

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

fof(f8,axiom,
    ! [X3,X4,X5] :
      ( theorem(or(not(X3),X5))
      | ~ axiom(or(not(X3),X4))
      | ~ theorem(or(not(X4),X5)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_3) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : LCL197-1 : TPTP v8.1.2. Released v1.1.0.
% 0.13/0.14  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.35  % Computer : n024.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit   : 300
% 0.14/0.35  % WCLimit    : 300
% 0.14/0.35  % DateTime   : Mon Apr 29 22:38:51 EDT 2024
% 0.14/0.35  % CPUTime    : 
% 0.20/0.35  % (22642)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.37  % (22646)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.20/0.37  % (22643)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.20/0.37  % (22644)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.20/0.37  % (22645)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)
% 0.20/0.37  % (22647)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.20/0.37  % (22648)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.20/0.37  % (22649)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2:si=on:rtra=on:rawr=on:rp=on:fmbksg=on_1451 on theBenchmark for (1451ds/0Mi)
% 0.20/0.37  TRYING [1]
% 0.20/0.37  TRYING [1]
% 0.20/0.37  TRYING [2]
% 0.20/0.37  TRYING [1]
% 0.20/0.37  TRYING [1]
% 0.20/0.37  % (22645)First to succeed.
% 0.20/0.37  TRYING [2]
% 0.20/0.37  TRYING [2]
% 0.20/0.37  TRYING [2]
% 0.20/0.37  % (22645)Refutation found. Thanks to Tanya!
% 0.20/0.37  % SZS status Unsatisfiable for theBenchmark
% 0.20/0.37  % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.37  % (22645)------------------------------
% 0.20/0.37  % (22645)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.20/0.37  % (22645)Termination reason: Refutation
% 0.20/0.37  
% 0.20/0.37  % (22645)Memory used [KB]: 774
% 0.20/0.37  % (22645)Time elapsed: 0.004 s
% 0.20/0.37  % (22645)Instructions burned: 4 (million)
% 0.20/0.37  % (22645)------------------------------
% 0.20/0.37  % (22645)------------------------------
% 0.20/0.37  % (22642)Success in time 0.02 s
%------------------------------------------------------------------------------