TSTP Solution File: LCL440-2 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : LCL440-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s

% Computer : n004.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 : Wed Aug 31 17:48:20 EDT 2022

% Result   : Unsatisfiable 0.22s 0.52s
% Output   : Refutation 0.22s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   10 (  10 unt;   0 def)
%            Number of atoms       :   10 (   3 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    2 (   2   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   2 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-3 aty)
%            Number of functors    :    9 (   9 usr;   6 con; 0-3 aty)
%            Number of variables   :    5 (   5   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f13,plain,
    $false,
    inference(subsumption_resolution,[],[f12,f6]) ).

fof(f6,plain,
    ~ c_in(sF0,sF1,sF2),
    inference(definition_folding,[],[f1,f5,f4,f3]) ).

fof(f3,plain,
    c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Ofalse,c_PropLog_Opl_Ofalse,t_a) = sF0,
    introduced(function_definition,[]) ).

fof(f4,plain,
    c_PropLog_Othms(c_emptyset,t_a) = sF1,
    introduced(function_definition,[]) ).

fof(f5,plain,
    tc_PropLog_Opl(t_a) = sF2,
    introduced(function_definition,[]) ).

fof(f1,axiom,
    ~ c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Ofalse,c_PropLog_Opl_Ofalse,t_a),c_PropLog_Othms(c_emptyset,t_a),tc_PropLog_Opl(t_a)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).

fof(f12,plain,
    c_in(sF0,sF1,sF2),
    inference(superposition,[],[f10,f4]) ).

fof(f10,plain,
    ! [X0] : c_in(sF0,c_PropLog_Othms(X0,t_a),sF2),
    inference(forward_demodulation,[],[f7,f5]) ).

fof(f7,plain,
    ! [X0] : c_in(sF0,c_PropLog_Othms(X0,t_a),tc_PropLog_Opl(t_a)),
    inference(superposition,[],[f2,f3]) ).

fof(f2,axiom,
    ! [X2,X0,X1] : c_in(c_PropLog_Opl_Oop_A_N_62(X0,X0,X1),c_PropLog_Othms(X2,X1),tc_PropLog_Opl(X1)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_PropLog_Othms__I_0) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14  % Problem    : LCL440-2 : TPTP v8.1.0. Released v3.2.0.
% 0.08/0.15  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.15/0.37  % Computer : n004.cluster.edu
% 0.15/0.37  % Model    : x86_64 x86_64
% 0.15/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.37  % Memory   : 8042.1875MB
% 0.15/0.37  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.37  % CPULimit   : 300
% 0.15/0.37  % WCLimit    : 300
% 0.15/0.37  % DateTime   : Tue Aug 30 01:57:49 EDT 2022
% 0.15/0.37  % CPUTime    : 
% 0.22/0.52  % (14028)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/51Mi)
% 0.22/0.52  % (14036)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/101Mi)
% 0.22/0.52  % (14036)First to succeed.
% 0.22/0.52  % (14036)Refutation found. Thanks to Tanya!
% 0.22/0.52  % SZS status Unsatisfiable for theBenchmark
% 0.22/0.52  % SZS output start Proof for theBenchmark
% See solution above
% 0.22/0.52  % (14036)------------------------------
% 0.22/0.52  % (14036)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.22/0.52  % (14036)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.22/0.52  % (14036)Termination reason: Refutation
% 0.22/0.52  
% 0.22/0.52  % (14036)Memory used [KB]: 5373
% 0.22/0.52  % (14036)Time elapsed: 0.103 s
% 0.22/0.52  % (14036)------------------------------
% 0.22/0.52  % (14036)------------------------------
% 0.22/0.52  % (14022)Success in time 0.147 s
%------------------------------------------------------------------------------