TSTP Solution File: SWV273-2 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : SWV273-2 : TPTP v8.2.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s

% Computer : n029.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 : Tue May 21 06:15:27 EDT 2024

% Result   : Unsatisfiable 0.20s 0.37s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   19 (   7 unt;   0 def)
%            Number of atoms       :   32 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   25 (  12   ~;  11   |;   0   &)
%                                         (   2 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   3 avg)
%            Maximal term depth    :    3 (   2 avg)
%            Number of predicates  :    4 (   3 usr;   3 prp; 0-3 aty)
%            Number of functors    :    6 (   6 usr;   2 con; 0-3 aty)
%            Number of variables   :   12 (  12   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f32,plain,
    $false,
    inference(avatar_sat_refutation,[],[f24,f27,f31]) ).

fof(f31,plain,
    spl0_2,
    inference(avatar_contradiction_clause,[],[f30]) ).

fof(f30,plain,
    ( $false
    | spl0_2 ),
    inference(resolution,[],[f28,f4]) ).

fof(f4,axiom,
    ! [X1] : c_lessequals(X1,c_Message_Osynth(X1),tc_set(tc_Message_Omsg)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_Osynth__increasing_0) ).

fof(f28,plain,
    ( ~ c_lessequals(v_H,c_Message_Osynth(v_H),tc_set(tc_Message_Omsg))
    | spl0_2 ),
    inference(resolution,[],[f23,f2]) ).

fof(f2,axiom,
    ! [X0,X1] :
      ( c_lessequals(c_Message_Oparts(X0),c_Message_Oparts(X1),tc_set(tc_Message_Omsg))
      | ~ c_lessequals(X0,X1,tc_set(tc_Message_Omsg)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_Oparts__mono_0) ).

fof(f23,plain,
    ( ~ c_lessequals(c_Message_Oparts(v_H),c_Message_Oparts(c_Message_Osynth(v_H)),tc_set(tc_Message_Omsg))
    | spl0_2 ),
    inference(avatar_component_clause,[],[f21]) ).

fof(f21,plain,
    ( spl0_2
  <=> c_lessequals(c_Message_Oparts(v_H),c_Message_Oparts(c_Message_Osynth(v_H)),tc_set(tc_Message_Omsg)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f27,plain,
    spl0_1,
    inference(avatar_contradiction_clause,[],[f25]) ).

fof(f25,plain,
    ( $false
    | spl0_1 ),
    inference(resolution,[],[f19,f8]) ).

fof(f8,plain,
    ! [X0] : c_lessequals(X0,c_Message_Oparts(X0),tc_set(tc_Message_Omsg)),
    inference(resolution,[],[f3,f6]) ).

fof(f6,axiom,
    ! [X4,X5] : c_lessequals(X5,X5,tc_set(X4)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_Osubset__refl_0) ).

fof(f3,axiom,
    ! [X0,X1] :
      ( ~ c_lessequals(c_Message_Oparts(X0),c_Message_Oparts(X1),tc_set(tc_Message_Omsg))
      | c_lessequals(X0,c_Message_Oparts(X1),tc_set(tc_Message_Omsg)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_Oparts__subset__iff_0) ).

fof(f19,plain,
    ( ~ c_lessequals(c_Message_Osynth(v_H),c_Message_Oparts(c_Message_Osynth(v_H)),tc_set(tc_Message_Omsg))
    | spl0_1 ),
    inference(avatar_component_clause,[],[f17]) ).

fof(f17,plain,
    ( spl0_1
  <=> c_lessequals(c_Message_Osynth(v_H),c_Message_Oparts(c_Message_Osynth(v_H)),tc_set(tc_Message_Omsg)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f24,plain,
    ( ~ spl0_1
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f10,f21,f17]) ).

fof(f10,plain,
    ( ~ c_lessequals(c_Message_Oparts(v_H),c_Message_Oparts(c_Message_Osynth(v_H)),tc_set(tc_Message_Omsg))
    | ~ c_lessequals(c_Message_Osynth(v_H),c_Message_Oparts(c_Message_Osynth(v_H)),tc_set(tc_Message_Omsg)) ),
    inference(resolution,[],[f5,f1]) ).

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

fof(f5,axiom,
    ! [X2,X3,X4,X5] :
      ( c_lessequals(c_union(X5,X2,X4),X3,tc_set(X4))
      | ~ c_lessequals(X5,X3,tc_set(X4))
      | ~ c_lessequals(X2,X3,tc_set(X4)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OUn__subset__iff_2) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : SWV273-2 : TPTP v8.2.0. Released v3.2.0.
% 0.03/0.14  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.13/0.35  % Computer : n029.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   : Sun May 19 09:29:38 EDT 2024
% 0.13/0.35  % CPUTime    : 
% 0.13/0.35  % (32638)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.37  % (32641)dis-2_2:3_amm=sco:anc=none:bce=on:fsr=off:gsp=on:nm=16:nwc=1.2:nicw=on:sac=on:sp=weighted_frequency_476 on theBenchmark for (476ds/0Mi)
% 0.20/0.37  % (32644)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.20/0.37  % (32645)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2:si=on:rtra=on:rawr=on:rp=on:fmbksg=on_1451 on theBenchmark for (1451ds/0Mi)
% 0.20/0.37  TRYING [1]
% 0.20/0.37  % (32644)Also succeeded, but the first one will report.
% 0.20/0.37  % (32641)First to succeed.
% 0.20/0.37  TRYING [2]
% 0.20/0.37  % (32641)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-32638"
% 0.20/0.37  TRYING [3]
% 0.20/0.37  % (32641)Refutation found. Thanks to Tanya!
% 0.20/0.37  % SZS status Unsatisfiable for theBenchmark
% 0.20/0.37  % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.37  % (32641)------------------------------
% 0.20/0.37  % (32641)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.20/0.37  % (32641)Termination reason: Refutation
% 0.20/0.37  
% 0.20/0.37  % (32641)Memory used [KB]: 760
% 0.20/0.37  % (32641)Time elapsed: 0.004 s
% 0.20/0.37  % (32641)Instructions burned: 3 (million)
% 0.20/0.37  % (32638)Success in time 0.019 s
%------------------------------------------------------------------------------