TSTP Solution File: SET841-2 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : SET841-2 : TPTP v8.1.2. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s

% Computer : n019.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 : Sat Sep  2 00:01:22 EDT 2023

% Result   : Unsatisfiable 0.22s 0.43s
% Output   : Refutation 0.22s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   11 (  10 unt;   0 def)
%            Number of atoms       :   15 (   3 equ)
%            Maximal formula atoms :    5 (   1 avg)
%            Number of connectives :   10 (   6   ~;   4   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   2 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-3 aty)
%            Number of functors    :    7 (   7 usr;   4 con; 0-3 aty)
%            Number of variables   :    6 (;   6   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f18,plain,
    $false,
    inference(subsumption_resolution,[],[f17,f1]) ).

fof(f1,axiom,
    ! [X0,X1] : c_lessequals(X0,X0,tc_set(X1)),
    file('/export/starexec/sandbox/tmp/tmp.JVC5VT42Ci/Vampire---4.8_19587',cls_Set_Osubset__refl_0) ).

fof(f17,plain,
    ~ c_lessequals(v_m,v_m,tc_set(tc_set(t_a))),
    inference(forward_demodulation,[],[f14,f4]) ).

fof(f4,axiom,
    v_m = c_Zorn_Osucc(v_S,v_m,t_a),
    file('/export/starexec/sandbox/tmp/tmp.JVC5VT42Ci/Vampire---4.8_19587',cls_conjecture_1) ).

fof(f14,plain,
    ~ c_lessequals(c_Zorn_Osucc(v_S,v_m,t_a),v_m,tc_set(tc_set(t_a))),
    inference(superposition,[],[f7,f8]) ).

fof(f8,plain,
    v_m = v_x,
    inference(unit_resulting_resolution,[],[f6,f5,f7,f3,f2]) ).

fof(f2,axiom,
    ! [X2,X3,X1,X4] :
      ( ~ c_in(X4,c_Zorn_OTFin(X3,X1),tc_set(tc_set(X1)))
      | ~ c_lessequals(X2,X4,tc_set(tc_set(X1)))
      | X2 = X4
      | ~ c_in(X2,c_Zorn_OTFin(X3,X1),tc_set(tc_set(X1)))
      | c_lessequals(c_Zorn_Osucc(X3,X2,X1),X4,tc_set(tc_set(X1))) ),
    file('/export/starexec/sandbox/tmp/tmp.JVC5VT42Ci/Vampire---4.8_19587',cls_Zorn_OTFin__subsetD_0) ).

fof(f3,axiom,
    c_in(v_m,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a))),
    file('/export/starexec/sandbox/tmp/tmp.JVC5VT42Ci/Vampire---4.8_19587',cls_conjecture_0) ).

fof(f5,axiom,
    c_in(v_x,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a))),
    file('/export/starexec/sandbox/tmp/tmp.JVC5VT42Ci/Vampire---4.8_19587',cls_conjecture_2) ).

fof(f6,axiom,
    c_lessequals(v_x,v_m,tc_set(tc_set(t_a))),
    file('/export/starexec/sandbox/tmp/tmp.JVC5VT42Ci/Vampire---4.8_19587',cls_conjecture_3) ).

fof(f7,axiom,
    ~ c_lessequals(c_Zorn_Osucc(v_S,v_x,t_a),v_m,tc_set(tc_set(t_a))),
    file('/export/starexec/sandbox/tmp/tmp.JVC5VT42Ci/Vampire---4.8_19587',cls_conjecture_4) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : SET841-2 : TPTP v8.1.2. Released v3.2.0.
% 0.07/0.15  % Command    : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.14/0.36  % Computer : n019.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit   : 300
% 0.14/0.36  % WCLimit    : 300
% 0.14/0.36  % DateTime   : Wed Aug 30 15:40:57 EDT 2023
% 0.14/0.36  % CPUTime    : 
% 0.22/0.42  % (19809)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.43  % (19855)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on Vampire---4 for (846ds/0Mi)
% 0.22/0.43  % (19856)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on Vampire---4 for (793ds/0Mi)
% 0.22/0.43  % (19859)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on Vampire---4 for (533ds/0Mi)
% 0.22/0.43  % (19857)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 Vampire---4 for (569ds/0Mi)
% 0.22/0.43  % (19860)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 Vampire---4 for (531ds/0Mi)
% 0.22/0.43  % (19861)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 Vampire---4 for (522ds/0Mi)
% 0.22/0.43  % (19862)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 Vampire---4 for (497ds/0Mi)
% 0.22/0.43  TRYING [1]
% 0.22/0.43  TRYING [2]
% 0.22/0.43  TRYING [1]
% 0.22/0.43  % (19862)First to succeed.
% 0.22/0.43  TRYING [2]
% 0.22/0.43  % (19861)Also succeeded, but the first one will report.
% 0.22/0.43  TRYING [3]
% 0.22/0.43  % (19862)Refutation found. Thanks to Tanya!
% 0.22/0.43  % SZS status Unsatisfiable for Vampire---4
% 0.22/0.43  % SZS output start Proof for Vampire---4
% See solution above
% 0.22/0.43  % (19862)------------------------------
% 0.22/0.43  % (19862)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.22/0.43  % (19862)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.22/0.43  % (19862)Termination reason: Refutation
% 0.22/0.43  
% 0.22/0.43  % (19862)Memory used [KB]: 895
% 0.22/0.43  % (19862)Time elapsed: 0.003 s
% 0.22/0.43  % (19862)------------------------------
% 0.22/0.43  % (19862)------------------------------
% 0.22/0.43  % (19809)Success in time 0.062 s
% 0.22/0.43  % Vampire---4.8 exiting
%------------------------------------------------------------------------------