TSTP Solution File: LCL355-1 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : LCL355-1 : TPTP v8.1.2. Released v2.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s

% Computer : n026.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 07:45:25 EDT 2024

% Result   : Unsatisfiable 0.15s 0.36s
% Output   : Refutation 0.15s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    3
% Syntax   : Number of formulae    :    6 (   4 unt;   0 def)
%            Number of atoms       :    9 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :    7 (   4   ~;   3   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   4 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-1 aty)
%            Number of functors    :    5 (   5 usr;   4 con; 0-2 aty)
%            Number of variables   :   12 (  12   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f200,plain,
    $false,
    inference(resolution,[],[f19,f5]) ).

fof(f5,axiom,
    ~ is_a_theorem(implies(implies(implies(implies(x,y),implies(z,y)),u),implies(implies(z,x),u))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_cn_04) ).

fof(f19,plain,
    ! [X2,X3,X0,X1] : is_a_theorem(implies(implies(implies(implies(X0,X1),implies(X2,X1)),X3),implies(implies(X2,X0),X3))),
    inference(resolution,[],[f16,f2]) ).

fof(f2,axiom,
    ! [X2,X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2)))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cn_1) ).

fof(f16,plain,
    ! [X2,X0,X1] :
      ( ~ is_a_theorem(implies(X2,X0))
      | is_a_theorem(implies(implies(X0,X1),implies(X2,X1))) ),
    inference(resolution,[],[f2,f1]) ).

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

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12  % Problem    : LCL355-1 : TPTP v8.1.2. Released v2.3.0.
% 0.10/0.14  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.34  % Computer : n026.cluster.edu
% 0.15/0.34  % Model    : x86_64 x86_64
% 0.15/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.34  % Memory   : 8042.1875MB
% 0.15/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.34  % CPULimit   : 300
% 0.15/0.34  % WCLimit    : 300
% 0.15/0.34  % DateTime   : Fri May  3 13:35:51 EDT 2024
% 0.15/0.34  % CPUTime    : 
% 0.15/0.34  % (13908)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.35  % (13912)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.15/0.35  TRYING [1]
% 0.15/0.35  TRYING [2]
% 0.15/0.35  TRYING [3]
% 0.15/0.35  % (13913)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.15/0.36  % (13913)First to succeed.
% 0.15/0.36  % (13913)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-13908"
% 0.15/0.36  % (13913)Refutation found. Thanks to Tanya!
% 0.15/0.36  % SZS status Unsatisfiable for theBenchmark
% 0.15/0.36  % SZS output start Proof for theBenchmark
% See solution above
% 0.15/0.36  % (13913)------------------------------
% 0.15/0.36  % (13913)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.15/0.36  % (13913)Termination reason: Refutation
% 0.15/0.36  
% 0.15/0.36  % (13913)Memory used [KB]: 849
% 0.15/0.36  % (13913)Time elapsed: 0.005 s
% 0.15/0.36  % (13913)Instructions burned: 9 (million)
% 0.15/0.36  % (13908)Success in time 0.016 s
%------------------------------------------------------------------------------