TSTP Solution File: SWV239-1 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : SWV239-1 : TPTP v8.1.2. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --mode casc_sat -m 16384 --cores 7 -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 : Sun May  5 10:47:34 EDT 2024

% Result   : Unsatisfiable 3.51s 0.93s
% Output   : Refutation 3.51s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   12 (   5 unt;   0 def)
%            Number of atoms       :   20 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   16 (   8   ~;   8   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   4 avg)
%            Maximal term depth    :    4 (   2 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-3 aty)
%            Number of functors    :    7 (   7 usr;   3 con; 0-3 aty)
%            Number of variables   :   18 (  18   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f25864,plain,
    $false,
    inference(resolution,[],[f25860,f18301]) ).

fof(f18301,plain,
    ~ c_lessequals(c_Message_Oanalz(c_Message_Oanalz(v_G)),c_Message_Oanalz(v_G),tc_set(tc_Message_Omsg)),
    inference(subsumption_resolution,[],[f18296,f112]) ).

fof(f112,axiom,
    ! [X1,X12] : c_lessequals(X12,X12,tc_set(X1)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_Osubset__refl_0) ).

fof(f18296,plain,
    ( ~ c_lessequals(c_Message_Oanalz(c_Message_Oanalz(v_G)),c_Message_Oanalz(v_G),tc_set(tc_Message_Omsg))
    | ~ c_lessequals(c_Message_Oanalz(v_H),c_Message_Oanalz(v_H),tc_set(tc_Message_Omsg)) ),
    inference(resolution,[],[f1398,f1400]) ).

fof(f1400,axiom,
    ~ c_lessequals(c_Message_Oanalz(c_union(c_Message_Oanalz(v_G),v_H,tc_Message_Omsg)),c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),tc_set(tc_Message_Omsg)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).

fof(f1398,axiom,
    ! [X68,X55,X69,X20] :
      ( c_lessequals(c_Message_Oanalz(c_union(X20,X55,tc_Message_Omsg)),c_Message_Oanalz(c_union(X69,X68,tc_Message_Omsg)),tc_set(tc_Message_Omsg))
      | ~ c_lessequals(c_Message_Oanalz(X20),c_Message_Oanalz(X69),tc_set(tc_Message_Omsg))
      | ~ c_lessequals(c_Message_Oanalz(X55),c_Message_Oanalz(X68),tc_set(tc_Message_Omsg)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_Oanalz__subset__cong_0) ).

fof(f25860,plain,
    ! [X0] : c_lessequals(c_Message_Oanalz(c_Message_Oanalz(X0)),c_Message_Oanalz(X0),tc_set(tc_Message_Omsg)),
    inference(duplicate_literal_removal,[],[f25851]) ).

fof(f25851,plain,
    ! [X0] :
      ( c_lessequals(c_Message_Oanalz(c_Message_Oanalz(X0)),c_Message_Oanalz(X0),tc_set(tc_Message_Omsg))
      | c_lessequals(c_Message_Oanalz(c_Message_Oanalz(X0)),c_Message_Oanalz(X0),tc_set(tc_Message_Omsg)) ),
    inference(resolution,[],[f1883,f110]) ).

fof(f110,axiom,
    ! [X1,X12,X13] :
      ( ~ c_in(c_Main_OsubsetI__1(X12,X13,X1),X13,X1)
      | c_lessequals(X12,X13,tc_set(X1)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OsubsetI_1) ).

fof(f1883,plain,
    ! [X0,X1] :
      ( c_in(c_Main_OsubsetI__1(c_Message_Oanalz(c_Message_Oanalz(X0)),X1,tc_Message_Omsg),c_Message_Oanalz(X0),tc_Message_Omsg)
      | c_lessequals(c_Message_Oanalz(c_Message_Oanalz(X0)),X1,tc_set(tc_Message_Omsg)) ),
    inference(resolution,[],[f109,f1378]) ).

fof(f1378,axiom,
    ! [X55,X53] :
      ( ~ c_in(X53,c_Message_Oanalz(c_Message_Oanalz(X55)),tc_Message_Omsg)
      | c_in(X53,c_Message_Oanalz(X55),tc_Message_Omsg) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_Oanalz__analzD__dest_0) ).

fof(f109,axiom,
    ! [X1,X12,X13] :
      ( c_in(c_Main_OsubsetI__1(X12,X13,X1),X12,X1)
      | c_lessequals(X12,X13,tc_set(X1)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OsubsetI_0) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.10  % Problem    : SWV239-1 : TPTP v8.1.2. Released v3.2.0.
% 0.05/0.12  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.11/0.32  % Computer : n004.cluster.edu
% 0.11/0.32  % Model    : x86_64 x86_64
% 0.11/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32  % Memory   : 8042.1875MB
% 0.11/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32  % CPULimit   : 300
% 0.11/0.32  % WCLimit    : 300
% 0.11/0.32  % DateTime   : Fri May  3 20:55:38 EDT 2024
% 0.11/0.32  % CPUTime    : 
% 0.11/0.32  % (18849)Running in auto input_syntax mode. Trying TPTP
% 0.11/0.37  % (18852)WARNING: value z3 for option sas not known
% 0.11/0.37  % (18851)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.11/0.37  % (18853)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.11/0.37  % (18854)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.11/0.37  % (18855)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.11/0.37  % (18852)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.11/0.37  % (18850)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.11/0.37  % (18856)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.16/0.43  TRYING [1]
% 0.16/0.44  TRYING [2]
% 1.41/0.57  TRYING [3]
% 1.41/0.61  TRYING [1]
% 1.41/0.62  TRYING [2]
% 2.07/0.68  TRYING [1]
% 2.45/0.70  TRYING [3]
% 2.45/0.73  TRYING [2]
% 3.51/0.92  % (18852)First to succeed.
% 3.51/0.92  % (18852)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-18849"
% 3.51/0.93  % (18852)Refutation found. Thanks to Tanya!
% 3.51/0.93  % SZS status Unsatisfiable for theBenchmark
% 3.51/0.93  % SZS output start Proof for theBenchmark
% See solution above
% 3.51/0.93  % (18852)------------------------------
% 3.51/0.93  % (18852)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 3.51/0.93  % (18852)Termination reason: Refutation
% 3.51/0.93  
% 3.51/0.93  % (18852)Memory used [KB]: 9478
% 3.51/0.93  % (18852)Time elapsed: 0.554 s
% 3.51/0.93  % (18852)Instructions burned: 1144 (million)
% 3.51/0.93  % (18849)Success in time 0.598 s
%------------------------------------------------------------------------------