TSTP Solution File: LCL431-2 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : LCL431-2 : TPTP v8.1.2. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s

% Computer : n008.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 07:45:47 EDT 2024

% Result   : Unsatisfiable 0.15s 0.38s
% Output   : Refutation 0.15s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    4
% Syntax   : Number of formulae    :    7 (   5 unt;   0 def)
%            Number of atoms       :    9 (   1 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :    6 (   4   ~;   2   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    5 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-3 aty)
%            Number of functors    :    8 (   8 usr;   3 con; 0-3 aty)
%            Number of variables   :    8 (   8   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f7,plain,
    $false,
    inference(resolution,[],[f6,f1]) ).

fof(f1,axiom,
    c_PropLog_Osat(c_emptyset,v_p,t_a),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).

fof(f6,plain,
    ~ c_PropLog_Osat(c_emptyset,v_p,t_a),
    inference(resolution,[],[f5,f2]) ).

fof(f2,axiom,
    ~ c_in(v_p,c_PropLog_Othms(c_emptyset,t_a),tc_PropLog_Opl(t_a)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).

fof(f5,plain,
    ! [X2,X0] :
      ( c_in(X0,c_PropLog_Othms(c_emptyset,X2),tc_PropLog_Opl(X2))
      | ~ c_PropLog_Osat(c_emptyset,X0,X2) ),
    inference(superposition,[],[f3,f4]) ).

fof(f4,axiom,
    ! [X1,X4] : c_emptyset = c_minus(X4,X4,tc_set(X1)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_ODiff__cancel_0) ).

fof(f3,axiom,
    ! [X2,X3,X0,X1] :
      ( c_in(X0,c_PropLog_Othms(c_minus(c_PropLog_Ohyps(X0,X2,X1),c_PropLog_Ohyps(X0,X3,X1),tc_set(tc_PropLog_Opl(X1))),X1),tc_PropLog_Opl(X1))
      | ~ c_PropLog_Osat(c_emptyset,X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_PropLog_Ocompleteness__0__lemma__dest_0) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem    : LCL431-2 : TPTP v8.1.2. Released v3.2.0.
% 0.13/0.15  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.36  % Computer : n008.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit   : 300
% 0.15/0.36  % WCLimit    : 300
% 0.15/0.36  % DateTime   : Fri May  3 13:33:42 EDT 2024
% 0.15/0.36  % CPUTime    : 
% 0.15/0.36  % (18947)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.38  % (18955)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.15/0.38  % (18955)First to succeed.
% 0.15/0.38  % (18955)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-18947"
% 0.15/0.38  % (18948)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.15/0.38  % (18955)Refutation found. Thanks to Tanya!
% 0.15/0.38  % SZS status Unsatisfiable for theBenchmark
% 0.15/0.38  % SZS output start Proof for theBenchmark
% See solution above
% 0.15/0.38  % (18955)------------------------------
% 0.15/0.38  % (18955)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.15/0.38  % (18955)Termination reason: Refutation
% 0.15/0.38  
% 0.15/0.38  % (18955)Memory used [KB]: 740
% 0.15/0.38  % (18955)Time elapsed: 0.003 s
% 0.15/0.38  % (18955)Instructions burned: 2 (million)
% 0.15/0.38  % (18947)Success in time 0.018 s
%------------------------------------------------------------------------------