TSTP Solution File: LCL414-1 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : LCL414-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s

% Computer : n028.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 07:45:34 EDT 2024

% Result   : Unsatisfiable 0.14s 0.38s
% Output   : Refutation 0.14s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    4
% Syntax   : Number of formulae    :    9 (   6 unt;   0 def)
%            Number of atoms       :   13 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :    9 (   5   ~;   4   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   4 avg)
%            Maximal term depth    :    4 (   2 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-1 aty)
%            Number of functors    :    2 (   2 usr;   1 con; 0-2 aty)
%            Number of variables   :   15 (  15   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f38,plain,
    $false,
    inference(resolution,[],[f30,f5]) ).

fof(f5,axiom,
    ~ a_truth(implies(sk1,sk1)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',thm147_5) ).

fof(f30,plain,
    ! [X0] : a_truth(implies(X0,X0)),
    inference(resolution,[],[f28,f2]) ).

fof(f2,axiom,
    ! [X0,X1] : a_truth(implies(X1,implies(X0,X1))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',thm147_2) ).

fof(f28,plain,
    ! [X0,X1] :
      ( ~ a_truth(implies(X0,X1))
      | a_truth(implies(X0,X0)) ),
    inference(resolution,[],[f20,f1]) ).

fof(f1,axiom,
    ! [X0,X1] :
      ( ~ a_truth(implies(X1,X0))
      | a_truth(X0)
      | ~ a_truth(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',thm147_1) ).

fof(f20,plain,
    ! [X0,X1] : a_truth(implies(implies(X0,X1),implies(X0,X0))),
    inference(resolution,[],[f18,f2]) ).

fof(f18,plain,
    ! [X2,X0,X1] :
      ( ~ a_truth(implies(X0,implies(X1,X2)))
      | a_truth(implies(implies(X0,X1),implies(X0,X2))) ),
    inference(resolution,[],[f3,f1]) ).

fof(f3,axiom,
    ! [X2,X0,X1] : a_truth(implies(implies(X1,implies(X0,X2)),implies(implies(X1,X0),implies(X1,X2)))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',thm147_3) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13  % Problem    : LCL414-1 : TPTP v8.1.2. Released v2.5.0.
% 0.11/0.15  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.36  % Computer : n028.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit   : 300
% 0.14/0.36  % WCLimit    : 300
% 0.14/0.36  % DateTime   : Fri May  3 13:40:03 EDT 2024
% 0.14/0.36  % CPUTime    : 
% 0.14/0.36  % (18912)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.38  % (18914)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.14/0.38  % (18915)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.14/0.38  % (18916)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)
% 0.14/0.38  % (18918)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.14/0.38  % (18919)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.14/0.38  % (18917)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.14/0.38  % (18920)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)
% 0.14/0.38  TRYING [1]
% 0.14/0.38  TRYING [1]
% 0.14/0.38  TRYING [2]
% 0.14/0.38  TRYING [1]
% 0.14/0.38  TRYING [1]
% 0.14/0.38  TRYING [2]
% 0.14/0.38  TRYING [2]
% 0.14/0.38  TRYING [2]
% 0.14/0.38  % (18916)Also succeeded, but the first one will report.
% 0.14/0.38  % (18918)First to succeed.
% 0.14/0.38  % (18918)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-18912"
% 0.14/0.38  % (18919)Also succeeded, but the first one will report.
% 0.14/0.38  TRYING [3]
% 0.14/0.38  TRYING [3]
% 0.14/0.38  TRYING [3]
% 0.14/0.38  TRYING [3]
% 0.14/0.38  % (18918)Refutation found. Thanks to Tanya!
% 0.14/0.38  % SZS status Unsatisfiable for theBenchmark
% 0.14/0.38  % SZS output start Proof for theBenchmark
% See solution above
% 0.14/0.38  % (18918)------------------------------
% 0.14/0.38  % (18918)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.14/0.38  % (18918)Termination reason: Refutation
% 0.14/0.38  
% 0.14/0.38  % (18918)Memory used [KB]: 749
% 0.14/0.38  % (18918)Time elapsed: 0.004 s
% 0.14/0.38  % (18918)Instructions burned: 3 (million)
% 0.14/0.38  % (18912)Success in time 0.018 s
%------------------------------------------------------------------------------