TSTP Solution File: SWV260-2 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : SWV260-2 : 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 : n014.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 Apr 30 16:43:16 EDT 2024

% Result   : Unsatisfiable 0.17s 0.48s
% Output   : Refutation 0.17s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :   10
% Syntax   : Number of formulae    :   24 (  14 unt;   0 def)
%            Number of atoms       :   37 (   2 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   29 (  16   ~;  13   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-3 aty)
%            Number of functors    :   10 (  10 usr;   5 con; 0-3 aty)
%            Number of variables   :   30 (  30   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f4894,plain,
    $false,
    inference(unit_resulting_resolution,[],[f3817,f4363,f4]) ).

fof(f4,axiom,
    ! [X0,X1] :
      ( ~ c_in(X0,X1,tc_Message_Omsg)
      | c_in(X0,c_Message_Oparts(X1),tc_Message_Omsg) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_Oparts_OInj_0) ).

fof(f4363,plain,
    ~ c_in(c_Main_OsubsetI__1(v_H,c_Message_Oparts(c_union(v_G,v_H,tc_Message_Omsg)),tc_Message_Omsg),c_Message_Oparts(c_union(v_G,v_H,tc_Message_Omsg)),tc_Message_Omsg),
    inference(unit_resulting_resolution,[],[f4085,f9]) ).

fof(f9,axiom,
    ! [X3,X4,X5] :
      ( ~ c_in(c_Main_OsubsetI__1(X5,X3,X4),X3,X4)
      | c_lessequals(X5,X3,tc_set(X4)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OsubsetI_1) ).

fof(f4085,plain,
    ~ c_lessequals(v_H,c_Message_Oparts(c_union(v_G,v_H,tc_Message_Omsg)),tc_set(tc_Message_Omsg)),
    inference(unit_resulting_resolution,[],[f2,f3798,f10]) ).

fof(f10,axiom,
    ! [X0,X1,X8] :
      ( ~ c_lessequals(X8,c_Message_Oparts(X1),tc_set(tc_Message_Omsg))
      | c_in(X0,c_Message_Oparts(X1),tc_Message_Omsg)
      | ~ c_in(X0,c_Message_Oparts(X8),tc_Message_Omsg) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_Oparts__trans_0) ).

fof(f3798,plain,
    ~ c_in(v_X,c_Message_Oparts(c_union(v_G,v_H,tc_Message_Omsg)),tc_Message_Omsg),
    inference(superposition,[],[f1150,f3795]) ).

fof(f3795,plain,
    v_X = c_Main_OsubsetI__1(c_insert(v_X,v_G,tc_Message_Omsg),c_Message_Oparts(c_union(v_G,v_H,tc_Message_Omsg)),tc_Message_Omsg),
    inference(unit_resulting_resolution,[],[f1151,f3793,f7]) ).

fof(f7,axiom,
    ! [X6,X7,X4,X5] :
      ( ~ c_in(X6,c_insert(X7,X5,X4),X4)
      | c_in(X6,X5,X4)
      | X6 = X7 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OinsertE_0) ).

fof(f3793,plain,
    ~ c_in(c_Main_OsubsetI__1(c_insert(v_X,v_G,tc_Message_Omsg),c_Message_Oparts(c_union(v_G,v_H,tc_Message_Omsg)),tc_Message_Omsg),v_G,tc_Message_Omsg),
    inference(unit_resulting_resolution,[],[f2546,f6]) ).

fof(f6,axiom,
    ! [X2,X3,X4,X5] :
      ( ~ c_in(X2,X5,X4)
      | c_in(X2,c_union(X5,X3,X4),X4) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OUnCI_1) ).

fof(f2546,plain,
    ~ c_in(c_Main_OsubsetI__1(c_insert(v_X,v_G,tc_Message_Omsg),c_Message_Oparts(c_union(v_G,v_H,tc_Message_Omsg)),tc_Message_Omsg),c_union(v_G,v_H,tc_Message_Omsg),tc_Message_Omsg),
    inference(unit_resulting_resolution,[],[f1150,f4]) ).

fof(f1151,plain,
    c_in(c_Main_OsubsetI__1(c_insert(v_X,v_G,tc_Message_Omsg),c_Message_Oparts(c_union(v_G,v_H,tc_Message_Omsg)),tc_Message_Omsg),c_insert(v_X,v_G,tc_Message_Omsg),tc_Message_Omsg),
    inference(unit_resulting_resolution,[],[f1130,f8]) ).

fof(f8,axiom,
    ! [X3,X4,X5] :
      ( c_lessequals(X5,X3,tc_set(X4))
      | c_in(c_Main_OsubsetI__1(X5,X3,X4),X5,X4) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OsubsetI_0) ).

fof(f1130,plain,
    ~ c_lessequals(c_insert(v_X,v_G,tc_Message_Omsg),c_Message_Oparts(c_union(v_G,v_H,tc_Message_Omsg)),tc_set(tc_Message_Omsg)),
    inference(unit_resulting_resolution,[],[f1,f3,f10]) ).

fof(f3,axiom,
    ~ c_in(v_Y,c_Message_Oparts(c_union(v_G,v_H,tc_Message_Omsg)),tc_Message_Omsg),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_2) ).

fof(f1,axiom,
    c_in(v_Y,c_Message_Oparts(c_insert(v_X,v_G,tc_Message_Omsg)),tc_Message_Omsg),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).

fof(f1150,plain,
    ~ c_in(c_Main_OsubsetI__1(c_insert(v_X,v_G,tc_Message_Omsg),c_Message_Oparts(c_union(v_G,v_H,tc_Message_Omsg)),tc_Message_Omsg),c_Message_Oparts(c_union(v_G,v_H,tc_Message_Omsg)),tc_Message_Omsg),
    inference(unit_resulting_resolution,[],[f1130,f9]) ).

fof(f2,axiom,
    c_in(v_X,c_Message_Oparts(v_H),tc_Message_Omsg),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).

fof(f3817,plain,
    ! [X0] : c_in(c_Main_OsubsetI__1(v_H,c_Message_Oparts(c_union(v_G,v_H,tc_Message_Omsg)),tc_Message_Omsg),c_union(X0,v_H,tc_Message_Omsg),tc_Message_Omsg),
    inference(unit_resulting_resolution,[],[f3798,f1698]) ).

fof(f1698,plain,
    ! [X0,X1] :
      ( c_in(c_Main_OsubsetI__1(v_H,c_Message_Oparts(X0),tc_Message_Omsg),c_union(X1,v_H,tc_Message_Omsg),tc_Message_Omsg)
      | c_in(v_X,c_Message_Oparts(X0),tc_Message_Omsg) ),
    inference(resolution,[],[f1565,f5]) ).

fof(f5,axiom,
    ! [X2,X3,X4,X5] :
      ( ~ c_in(X2,X3,X4)
      | c_in(X2,c_union(X5,X3,X4),X4) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OUnCI_0) ).

fof(f1565,plain,
    ! [X0] :
      ( c_in(c_Main_OsubsetI__1(v_H,c_Message_Oparts(X0),tc_Message_Omsg),v_H,tc_Message_Omsg)
      | c_in(v_X,c_Message_Oparts(X0),tc_Message_Omsg) ),
    inference(resolution,[],[f1149,f2]) ).

fof(f1149,plain,
    ! [X2,X0,X1] :
      ( ~ c_in(X0,c_Message_Oparts(X2),tc_Message_Omsg)
      | c_in(X0,c_Message_Oparts(X1),tc_Message_Omsg)
      | c_in(c_Main_OsubsetI__1(X2,c_Message_Oparts(X1),tc_Message_Omsg),X2,tc_Message_Omsg) ),
    inference(resolution,[],[f10,f8]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.11  % Problem    : SWV260-2 : TPTP v8.1.2. Released v3.2.0.
% 0.02/0.12  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.12/0.33  % Computer : n014.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit   : 300
% 0.12/0.33  % WCLimit    : 300
% 0.12/0.33  % DateTime   : Tue Apr 30 04:41:04 EDT 2024
% 0.12/0.33  % CPUTime    : 
% 0.12/0.33  % (10089)Running in auto input_syntax mode. Trying TPTP
% 0.12/0.34  % (10093)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.12/0.34  % (10092)WARNING: value z3 for option sas not known
% 0.12/0.35  % (10095)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)
% 0.12/0.35  % (10091)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.12/0.35  % (10094)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)
% 0.12/0.35  % (10090)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.12/0.35  % (10096)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)
% 0.12/0.35  % (10092)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)
% 0.12/0.35  TRYING [1]
% 0.12/0.35  TRYING [2]
% 0.12/0.35  TRYING [3]
% 0.12/0.35  TRYING [1]
% 0.12/0.35  TRYING [2]
% 0.12/0.35  TRYING [4]
% 0.12/0.36  TRYING [5]
% 0.17/0.36  TRYING [3]
% 0.17/0.37  TRYING [6]
% 0.17/0.39  TRYING [7]
% 0.17/0.41  TRYING [4]
% 0.17/0.43  TRYING [8]
% 0.17/0.48  % (10096)First to succeed.
% 0.17/0.48  % (10096)Refutation found. Thanks to Tanya!
% 0.17/0.48  % SZS status Unsatisfiable for theBenchmark
% 0.17/0.48  % SZS output start Proof for theBenchmark
% See solution above
% 0.17/0.48  % (10096)------------------------------
% 0.17/0.48  % (10096)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.17/0.48  % (10096)Termination reason: Refutation
% 0.17/0.48  
% 0.17/0.48  % (10096)Memory used [KB]: 2890
% 0.17/0.48  % (10096)Time elapsed: 0.136 s
% 0.17/0.48  % (10096)Instructions burned: 257 (million)
% 0.17/0.48  % (10096)------------------------------
% 0.17/0.48  % (10096)------------------------------
% 0.17/0.48  % (10089)Success in time 0.149 s
%------------------------------------------------------------------------------