TSTP Solution File: SWV278-2 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SWV278-2 : 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 : n011.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 18:56:08 EDT 2022

% Result   : Unsatisfiable 0.19s 0.50s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :   10
% Syntax   : Number of formulae    :   21 (  18 unt;   0 def)
%            Number of atoms       :   24 (  11 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :    8 (   5   ~;   3   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   2 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-3 aty)
%            Number of functors    :   13 (  13 usr;   9 con; 0-1 aty)
%            Number of variables   :    5 (   5   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f29,plain,
    $false,
    inference(subsumption_resolution,[],[f28,f9]) ).

fof(f9,plain,
    ~ c_in(sF2,sF3,tc_Message_Omsg),
    inference(definition_folding,[],[f1,f8,f7,f6,f5]) ).

fof(f5,plain,
    c_Message_OinvKey(v_K_H) = sF0,
    introduced(function_definition,[]) ).

fof(f6,plain,
    c_Message_OinvKey(sF0) = sF1,
    introduced(function_definition,[]) ).

fof(f7,plain,
    c_Message_Omsg_OKey(sF1) = sF2,
    introduced(function_definition,[]) ).

fof(f8,plain,
    c_Message_Oparts(v_H) = sF3,
    introduced(function_definition,[]) ).

fof(f1,axiom,
    ~ c_in(c_Message_Omsg_OKey(c_Message_OinvKey(c_Message_OinvKey(v_K_H))),c_Message_Oparts(v_H),tc_Message_Omsg),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).

fof(f28,plain,
    c_in(sF2,sF3,tc_Message_Omsg),
    inference(forward_demodulation,[],[f26,f22]) ).

fof(f22,plain,
    sF4 = sF2,
    inference(superposition,[],[f10,f18]) ).

fof(f18,plain,
    c_Message_Omsg_OKey(v_K_H) = sF2,
    inference(superposition,[],[f7,f15]) ).

fof(f15,plain,
    v_K_H = sF1,
    inference(superposition,[],[f13,f6]) ).

fof(f13,plain,
    v_K_H = c_Message_OinvKey(sF0),
    inference(superposition,[],[f4,f5]) ).

fof(f4,axiom,
    ! [X2] : c_Message_OinvKey(c_Message_OinvKey(X2)) = X2,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_OinvKey_A_IinvKey_Ay_J_A_61_61_Ay_0) ).

fof(f10,plain,
    c_Message_Omsg_OKey(v_K_H) = sF4,
    introduced(function_definition,[]) ).

fof(f26,plain,
    c_in(sF4,sF3,tc_Message_Omsg),
    inference(resolution,[],[f25,f12]) ).

fof(f12,plain,
    c_in(sF4,sF5,tc_Message_Omsg),
    inference(definition_folding,[],[f2,f11,f10]) ).

fof(f11,plain,
    c_Message_Oanalz(v_H) = sF5,
    introduced(function_definition,[]) ).

fof(f2,axiom,
    c_in(c_Message_Omsg_OKey(v_K_H),c_Message_Oanalz(v_H),tc_Message_Omsg),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_3) ).

fof(f25,plain,
    ! [X0] :
      ( ~ c_in(X0,sF5,tc_Message_Omsg)
      | c_in(X0,sF3,tc_Message_Omsg) ),
    inference(forward_demodulation,[],[f24,f8]) ).

fof(f24,plain,
    ! [X0] :
      ( ~ c_in(X0,sF5,tc_Message_Omsg)
      | c_in(X0,c_Message_Oparts(v_H),tc_Message_Omsg) ),
    inference(superposition,[],[f3,f11]) ).

fof(f3,axiom,
    ! [X0,X1] :
      ( ~ c_in(X0,c_Message_Oanalz(X1),tc_Message_Omsg)
      | c_in(X0,c_Message_Oparts(X1),tc_Message_Omsg) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_Oanalz__conj__parts_0) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : SWV278-2 : TPTP v8.1.0. Released v3.2.0.
% 0.03/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.35  % Computer : n011.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit   : 300
% 0.13/0.35  % WCLimit    : 300
% 0.13/0.35  % DateTime   : Tue Aug 30 19:09:10 EDT 2022
% 0.13/0.35  % CPUTime    : 
% 0.19/0.50  % (896)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.19/0.50  % (896)First to succeed.
% 0.19/0.50  % (896)Refutation found. Thanks to Tanya!
% 0.19/0.50  % SZS status Unsatisfiable for theBenchmark
% 0.19/0.50  % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.50  % (896)------------------------------
% 0.19/0.50  % (896)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.50  % (896)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.50  % (896)Termination reason: Refutation
% 0.19/0.50  
% 0.19/0.50  % (896)Memory used [KB]: 5373
% 0.19/0.50  % (896)Time elapsed: 0.095 s
% 0.19/0.50  % (896)Instructions burned: 2 (million)
% 0.19/0.50  % (896)------------------------------
% 0.19/0.50  % (896)------------------------------
% 0.19/0.50  % (882)Success in time 0.149 s
%------------------------------------------------------------------------------