TSTP Solution File: LCL199-1 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : LCL199-1 : 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 : n029.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 13:40:53 EDT 2024

% Result   : Unsatisfiable 0.11s 0.36s
% Output   : Refutation 0.11s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   21 (  10 unt;   0 def)
%            Number of atoms       :   35 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   35 (  21   ~;  14   |;   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   :   32 (  32   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1020,plain,
    $false,
    inference(resolution,[],[f984,f85]) ).

fof(f85,plain,
    ! [X0] : theorem(or(not(X0),X0)),
    inference(resolution,[],[f44,f2]) ).

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

fof(f44,plain,
    ! [X0,X1] :
      ( ~ axiom(or(X0,or(or(X0,X1),X1)))
      | theorem(or(X0,X1)) ),
    inference(resolution,[],[f29,f6]) ).

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

fof(f29,plain,
    ! [X0,X1] :
      ( ~ theorem(or(X0,or(or(X0,X1),X1)))
      | theorem(or(X0,X1)) ),
    inference(resolution,[],[f15,f11]) ).

fof(f11,plain,
    ! [X0] :
      ( ~ theorem(or(X0,X0))
      | theorem(X0) ),
    inference(resolution,[],[f7,f1]) ).

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

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

fof(f15,plain,
    ! [X2,X0,X1] :
      ( theorem(or(X0,or(X1,X2)))
      | ~ theorem(or(X1,or(X0,X2))) ),
    inference(resolution,[],[f4,f7]) ).

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(f984,plain,
    ! [X0] : ~ theorem(or(not(not(or(p,q))),not(or(p,X0)))),
    inference(resolution,[],[f748,f12]) ).

fof(f12,plain,
    ! [X0,X1] :
      ( theorem(or(X0,X1))
      | ~ theorem(or(X1,X0)) ),
    inference(resolution,[],[f7,f3]) ).

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

fof(f748,plain,
    ! [X0] : ~ theorem(or(not(or(p,X0)),not(not(or(p,q))))),
    inference(resolution,[],[f239,f3]) ).

fof(f239,plain,
    ! [X0,X1] :
      ( ~ axiom(or(not(or(X0,p)),X1))
      | ~ theorem(or(not(X1),not(not(or(p,q))))) ),
    inference(resolution,[],[f59,f2]) ).

fof(f59,plain,
    ! [X0,X1] :
      ( ~ axiom(or(not(p),X0))
      | ~ axiom(or(not(X0),X1))
      | ~ theorem(or(not(X1),not(not(or(p,q))))) ),
    inference(resolution,[],[f25,f8]) ).

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) ).

fof(f25,plain,
    ! [X0] :
      ( ~ theorem(or(not(X0),not(not(or(p,q)))))
      | ~ axiom(or(not(p),X0)) ),
    inference(resolution,[],[f22,f8]) ).

fof(f22,plain,
    ~ theorem(or(not(p),not(not(or(p,q))))),
    inference(resolution,[],[f12,f9]) ).

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

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.11  % Problem    : LCL199-1 : TPTP v8.1.2. Released v1.1.0.
% 0.05/0.12  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.11/0.32  % Computer : n029.cluster.edu
% 0.11/0.32  % Model    : x86_64 x86_64
% 0.11/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32  % Memory   : 8042.1875MB
% 0.11/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32  % CPULimit   : 300
% 0.11/0.32  % WCLimit    : 300
% 0.11/0.32  % DateTime   : Mon Apr 29 22:57:34 EDT 2024
% 0.11/0.32  % CPUTime    : 
% 0.11/0.33  % (28829)Running in auto input_syntax mode. Trying TPTP
% 0.11/0.34  % (28830)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.11/0.34  % (28833)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.11/0.34  % (28832)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)
% 0.11/0.34  % (28834)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.11/0.34  % (28836)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)
% 0.11/0.34  % (28835)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.11/0.34  % (28831)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.11/0.34  TRYING [1]
% 0.11/0.34  TRYING [1]
% 0.11/0.34  TRYING [2]
% 0.11/0.34  TRYING [2]
% 0.11/0.34  TRYING [1]
% 0.11/0.34  TRYING [1]
% 0.11/0.34  TRYING [2]
% 0.11/0.34  TRYING [2]
% 0.11/0.35  TRYING [3]
% 0.11/0.35  TRYING [3]
% 0.11/0.35  TRYING [3]
% 0.11/0.35  TRYING [3]
% 0.11/0.35  TRYING [4]
% 0.11/0.35  TRYING [4]
% 0.11/0.35  TRYING [4]
% 0.11/0.36  TRYING [4]
% 0.11/0.36  % (28832)First to succeed.
% 0.11/0.36  % (28832)Refutation found. Thanks to Tanya!
% 0.11/0.36  % SZS status Unsatisfiable for theBenchmark
% 0.11/0.36  % SZS output start Proof for theBenchmark
% See solution above
% 0.11/0.36  % (28832)------------------------------
% 0.11/0.36  % (28832)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.11/0.36  % (28832)Termination reason: Refutation
% 0.11/0.36  
% 0.11/0.36  % (28832)Memory used [KB]: 1010
% 0.11/0.36  % (28832)Time elapsed: 0.024 s
% 0.11/0.36  % (28832)Instructions burned: 45 (million)
% 0.11/0.36  % (28832)------------------------------
% 0.11/0.36  % (28832)------------------------------
% 0.11/0.36  % (28829)Success in time 0.035 s
%------------------------------------------------------------------------------