TSTP Solution File: LCL174-1 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : LCL174-1 : 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 : n020.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 : Sun May  5 07:44:17 EDT 2024

% Result   : Unsatisfiable 0.12s 0.29s
% Output   : Refutation 0.12s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    5
% Syntax   : Number of formulae    :    9 (   5 unt;   0 def)
%            Number of atoms       :   15 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   14 (   8   ~;   6   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   4 avg)
%            Maximal term depth    :    6 (   2 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-1 aty)
%            Number of functors    :    5 (   5 usr;   3 con; 0-2 aty)
%            Number of variables   :   14 (  14   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f40,plain,
    $false,
    inference(subsumption_resolution,[],[f38,f5]) ).

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(f38,plain,
    ~ axiom(or(not(or(not(q),r)),or(not(or(not(p),q)),or(not(p),r)))),
    inference(resolution,[],[f13,f9]) ).

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

fof(f13,plain,
    ! [X2,X0,X1] :
      ( theorem(or(X0,or(X1,X2)))
      | ~ axiom(or(X1,or(X0,X2))) ),
    inference(resolution,[],[f10,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(f10,plain,
    ! [X0,X1] :
      ( ~ axiom(or(not(X1),X0))
      | theorem(X0)
      | ~ axiom(X1) ),
    inference(resolution,[],[f7,f6]) ).

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

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

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.08  % Problem    : LCL174-1 : 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 : n020.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   : Fri May  3 13:34:30 EDT 2024
% 0.08/0.28  % CPUTime    : 
% 0.08/0.28  % (28521)Running in auto input_syntax mode. Trying TPTP
% 0.12/0.29  % (28526)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.12/0.29  % (28527)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.12/0.29  % (28525)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.12/0.29  % (28523)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.12/0.29  % (28528)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)
% 0.12/0.29  % (28524)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)
% 0.12/0.29  % (28522)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.12/0.29  TRYING [1]
% 0.12/0.29  TRYING [1]
% 0.12/0.29  TRYING [1]
% 0.12/0.29  % (28527)First to succeed.
% 0.12/0.29  TRYING [1]
% 0.12/0.29  TRYING [2]
% 0.12/0.29  TRYING [2]
% 0.12/0.29  TRYING [2]
% 0.12/0.29  % (28527)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-28521"
% 0.12/0.29  TRYING [2]
% 0.12/0.29  % (28527)Refutation found. Thanks to Tanya!
% 0.12/0.29  % SZS status Unsatisfiable for theBenchmark
% 0.12/0.29  % SZS output start Proof for theBenchmark
% See solution above
% 0.12/0.29  % (28527)------------------------------
% 0.12/0.29  % (28527)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.12/0.29  % (28527)Termination reason: Refutation
% 0.12/0.29  
% 0.12/0.29  % (28527)Memory used [KB]: 768
% 0.12/0.29  % (28527)Time elapsed: 0.003 s
% 0.12/0.29  % (28527)Instructions burned: 4 (million)
% 0.12/0.29  % (28521)Success in time 0.012 s
%------------------------------------------------------------------------------