TSTP Solution File: SWV263-2 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SWV263-2 : 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 : n015.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 18:56:03 EDT 2022

% Result   : Unsatisfiable 0.20s 0.55s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   15 (  10 unt;   0 def)
%            Number of atoms       :   22 (   2 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   16 (   9   ~;   7   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-3 aty)
%            Number of functors    :    8 (   8 usr;   6 con; 0-1 aty)
%            Number of variables   :   11 (  11   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f17,plain,
    $false,
    inference(resolution,[],[f15,f9]) ).

fof(f9,plain,
    ~ c_in(v_X,sF1,tc_Message_Omsg),
    inference(definition_folding,[],[f3,f8]) ).

fof(f8,plain,
    c_Message_Oparts(v_H) = sF1,
    introduced(function_definition,[]) ).

fof(f3,axiom,
    ~ c_in(v_X,c_Message_Oparts(v_H),tc_Message_Omsg),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_2) ).

fof(f15,plain,
    c_in(v_X,sF1,tc_Message_Omsg),
    inference(resolution,[],[f14,f10]) ).

fof(f10,plain,
    ! [X0] :
      ( ~ c_in(X0,v_H,tc_Message_Omsg)
      | c_in(X0,sF1,tc_Message_Omsg) ),
    inference(superposition,[],[f4,f8]) ).

fof(f4,axiom,
    ! [X0,X1] :
      ( c_in(X0,c_Message_Oparts(X1),tc_Message_Omsg)
      | ~ c_in(X0,X1,tc_Message_Omsg) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_Oparts_OInj_0) ).

fof(f14,plain,
    c_in(v_X,v_H,tc_Message_Omsg),
    inference(resolution,[],[f12,f7]) ).

fof(f7,plain,
    c_lessequals(v_G,v_H,sF0),
    inference(definition_folding,[],[f1,f6]) ).

fof(f6,plain,
    tc_set(tc_Message_Omsg) = sF0,
    introduced(function_definition,[]) ).

fof(f1,axiom,
    c_lessequals(v_G,v_H,tc_set(tc_Message_Omsg)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).

fof(f12,plain,
    ! [X0] :
      ( ~ c_lessequals(v_G,X0,sF0)
      | c_in(v_X,X0,tc_Message_Omsg) ),
    inference(resolution,[],[f11,f2]) ).

fof(f2,axiom,
    c_in(v_X,v_G,tc_Message_Omsg),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).

fof(f11,plain,
    ! [X2,X0,X1] :
      ( ~ c_in(X2,X0,tc_Message_Omsg)
      | c_in(X2,X1,tc_Message_Omsg)
      | ~ c_lessequals(X0,X1,sF0) ),
    inference(superposition,[],[f5,f6]) ).

fof(f5,axiom,
    ! [X2,X3,X4,X5] :
      ( ~ c_lessequals(X3,X5,tc_set(X4))
      | ~ c_in(X2,X3,X4)
      | c_in(X2,X5,X4) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OsubsetD_0) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : SWV263-2 : TPTP v8.1.0. Released v3.2.0.
% 0.07/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.14/0.34  % Computer : n015.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit   : 300
% 0.14/0.34  % WCLimit    : 300
% 0.14/0.34  % DateTime   : Tue Aug 30 19:21:36 EDT 2022
% 0.14/0.34  % CPUTime    : 
% 0.20/0.53  % (6037)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/100Mi)
% 0.20/0.54  % (6036)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/50Mi)
% 0.20/0.54  % (6037)First to succeed.
% 0.20/0.55  % (6037)Refutation found. Thanks to Tanya!
% 0.20/0.55  % SZS status Unsatisfiable for theBenchmark
% 0.20/0.55  % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.55  % (6037)------------------------------
% 0.20/0.55  % (6037)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.55  % (6037)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.55  % (6037)Termination reason: Refutation
% 0.20/0.55  
% 0.20/0.55  % (6037)Memory used [KB]: 5373
% 0.20/0.55  % (6037)Time elapsed: 0.132 s
% 0.20/0.55  % (6037)Instructions burned: 2 (million)
% 0.20/0.55  % (6037)------------------------------
% 0.20/0.55  % (6037)------------------------------
% 0.20/0.55  % (6025)Success in time 0.199 s
%------------------------------------------------------------------------------