TSTP Solution File: SWV242-2 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : SWV242-2 : 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_uns --cores 0 -t %d %s

% Computer : n025.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 18:44:37 EDT 2022

% Result   : Unsatisfiable 0.20s 0.50s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   14 (   5 unt;   0 def)
%            Number of atoms       :   30 (   0 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :   39 (  23   ~;  16   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-3 aty)
%            Number of functors    :    8 (   8 usr;   5 con; 0-3 aty)
%            Number of variables   :   20 (  20   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f17,plain,
    $false,
    inference(unit_resulting_resolution,[],[f2,f6,f15]) ).

fof(f15,plain,
    ! [X0] :
      ( ~ c_lessequals(v_H,c_Message_Oanalz(X0),tc_set(tc_Message_Omsg))
      | ~ c_lessequals(X0,c_union(v_G_H,v_H_H,tc_Message_Omsg),tc_set(tc_Message_Omsg)) ),
    inference(resolution,[],[f14,f4]) ).

fof(f4,axiom,
    ! [X0,X1] :
      ( c_lessequals(c_Message_Oanalz(X0),c_Message_Oanalz(X1),tc_set(tc_Message_Omsg))
      | ~ c_lessequals(X0,X1,tc_set(tc_Message_Omsg)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_Oanalz__mono_0) ).

fof(f14,plain,
    ! [X0] :
      ( ~ c_lessequals(X0,c_Message_Oanalz(c_union(v_G_H,v_H_H,tc_Message_Omsg)),tc_set(tc_Message_Omsg))
      | ~ c_lessequals(v_H,X0,tc_set(tc_Message_Omsg)) ),
    inference(subsumption_resolution,[],[f12,f5]) ).

fof(f5,axiom,
    ! [X2,X3,X4] : c_lessequals(X2,c_union(X2,X3,X4),tc_set(X4)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OUn__upper1_0) ).

fof(f12,plain,
    ! [X0] :
      ( ~ c_lessequals(v_H,X0,tc_set(tc_Message_Omsg))
      | ~ c_lessequals(X0,c_Message_Oanalz(c_union(v_G_H,v_H_H,tc_Message_Omsg)),tc_set(tc_Message_Omsg))
      | ~ c_lessequals(v_G_H,c_union(v_G_H,v_H_H,tc_Message_Omsg),tc_set(tc_Message_Omsg)) ),
    inference(resolution,[],[f10,f1]) ).

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

fof(f10,plain,
    ! [X0,X1] :
      ( ~ c_lessequals(v_G,c_Message_Oanalz(X1),tc_set(tc_Message_Omsg))
      | ~ c_lessequals(X0,c_Message_Oanalz(c_union(v_G_H,v_H_H,tc_Message_Omsg)),tc_set(tc_Message_Omsg))
      | ~ c_lessequals(v_H,X0,tc_set(tc_Message_Omsg))
      | ~ c_lessequals(X1,c_union(v_G_H,v_H_H,tc_Message_Omsg),tc_set(tc_Message_Omsg)) ),
    inference(resolution,[],[f9,f4]) ).

fof(f9,plain,
    ! [X0,X1] :
      ( ~ c_lessequals(X1,c_Message_Oanalz(c_union(v_G_H,v_H_H,tc_Message_Omsg)),tc_set(tc_Message_Omsg))
      | ~ c_lessequals(v_H,X0,tc_set(tc_Message_Omsg))
      | ~ c_lessequals(X0,c_Message_Oanalz(c_union(v_G_H,v_H_H,tc_Message_Omsg)),tc_set(tc_Message_Omsg))
      | ~ c_lessequals(v_G,X1,tc_set(tc_Message_Omsg)) ),
    inference(resolution,[],[f8,f7]) ).

fof(f7,axiom,
    ! [X2,X3,X4,X5] :
      ( c_lessequals(X2,X5,tc_set(X4))
      | ~ c_lessequals(X3,X5,tc_set(X4))
      | ~ c_lessequals(X2,X3,tc_set(X4)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_Osubset__trans_0) ).

fof(f8,plain,
    ! [X0] :
      ( ~ c_lessequals(v_G,c_Message_Oanalz(c_union(v_G_H,v_H_H,tc_Message_Omsg)),tc_set(tc_Message_Omsg))
      | ~ c_lessequals(X0,c_Message_Oanalz(c_union(v_G_H,v_H_H,tc_Message_Omsg)),tc_set(tc_Message_Omsg))
      | ~ c_lessequals(v_H,X0,tc_set(tc_Message_Omsg)) ),
    inference(resolution,[],[f7,f3]) ).

fof(f3,axiom,
    ( ~ c_lessequals(v_H,c_Message_Oanalz(c_union(v_G_H,v_H_H,tc_Message_Omsg)),tc_set(tc_Message_Omsg))
    | ~ c_lessequals(v_G,c_Message_Oanalz(c_union(v_G_H,v_H_H,tc_Message_Omsg)),tc_set(tc_Message_Omsg)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_2) ).

fof(f6,axiom,
    ! [X2,X3,X4] : c_lessequals(X3,c_union(X2,X3,X4),tc_set(X4)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OUn__upper2_0) ).

fof(f2,axiom,
    c_lessequals(v_H,c_Message_Oanalz(v_H_H),tc_set(tc_Message_Omsg)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : SWV242-2 : 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_uns --cores 0 -t %d %s
% 0.12/0.34  % Computer : n025.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit   : 300
% 0.12/0.34  % WCLimit    : 300
% 0.12/0.34  % DateTime   : Tue Aug 30 19:17:30 EDT 2022
% 0.12/0.34  % CPUTime    : 
% 0.20/0.48  % (21809)dis+1011_3:29_av=off:awrs=decay:awrsf=32:bce=on:drc=off:fde=unused:gsp=on:irw=on:nwc=2.0:spb=goal_then_units:updr=off:urr=ec_only:i=29:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/29Mi)
% 0.20/0.50  % (21801)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 0.20/0.50  % (21809)First to succeed.
% 0.20/0.50  % (21809)Refutation found. Thanks to Tanya!
% 0.20/0.50  % SZS status Unsatisfiable for theBenchmark
% 0.20/0.50  % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.50  % (21809)------------------------------
% 0.20/0.50  % (21809)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.50  % (21809)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.50  % (21809)Termination reason: Refutation
% 0.20/0.50  
% 0.20/0.50  % (21809)Memory used [KB]: 1279
% 0.20/0.50  % (21809)Time elapsed: 0.094 s
% 0.20/0.50  % (21809)Instructions burned: 2 (million)
% 0.20/0.50  % (21809)------------------------------
% 0.20/0.50  % (21809)------------------------------
% 0.20/0.50  % (21794)Success in time 0.149 s
%------------------------------------------------------------------------------