TSTP Solution File: SET864-1 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : SET864-1 : 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 : n011.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 15:13:50 EDT 2024

% Result   : Unsatisfiable 2.75s 0.81s
% Output   : Refutation 2.75s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   13 (   6 unt;   0 def)
%            Number of atoms       :   24 (   5 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   27 (  16   ~;  11   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   3 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-3 aty)
%            Number of functors    :    7 (   7 usr;   3 con; 0-2 aty)
%            Number of variables   :    8 (   8   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f10579,plain,
    $false,
    inference(subsumption_resolution,[],[f10578,f1363]) ).

fof(f1363,axiom,
    c_in(c_Union(v_c,t_a),v_S,tc_set(t_a)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_2) ).

fof(f10578,plain,
    ~ c_in(c_Union(v_c,t_a),v_S,tc_set(t_a)),
    inference(resolution,[],[f10577,f1364]) ).

fof(f1364,axiom,
    ! [X41] :
      ( c_in(v_x(X41),v_S,tc_set(t_a))
      | ~ c_in(X41,v_S,tc_set(t_a)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_3) ).

fof(f10577,plain,
    ~ c_in(v_x(c_Union(v_c,t_a)),v_S,tc_set(t_a)),
    inference(subsumption_resolution,[],[f10576,f1363]) ).

fof(f10576,plain,
    ( ~ c_in(v_x(c_Union(v_c,t_a)),v_S,tc_set(t_a))
    | ~ c_in(c_Union(v_c,t_a),v_S,tc_set(t_a)) ),
    inference(subsumption_resolution,[],[f10552,f1671]) ).

fof(f1671,plain,
    c_Union(v_c,t_a) != v_x(c_Union(v_c,t_a)),
    inference(resolution,[],[f1366,f1363]) ).

fof(f1366,axiom,
    ! [X41] :
      ( ~ c_in(X41,v_S,tc_set(t_a))
      | v_x(X41) != X41 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_5) ).

fof(f10552,plain,
    ( c_Union(v_c,t_a) = v_x(c_Union(v_c,t_a))
    | ~ c_in(v_x(c_Union(v_c,t_a)),v_S,tc_set(t_a))
    | ~ c_in(c_Union(v_c,t_a),v_S,tc_set(t_a)) ),
    inference(resolution,[],[f8736,f1365]) ).

fof(f1365,axiom,
    ! [X41] :
      ( c_lessequals(X41,v_x(X41),tc_set(t_a))
      | ~ c_in(X41,v_S,tc_set(t_a)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_4) ).

fof(f8736,plain,
    ! [X0] :
      ( ~ c_lessequals(c_Union(v_c,t_a),X0,tc_set(t_a))
      | c_Union(v_c,t_a) = X0
      | ~ c_in(X0,v_S,tc_set(t_a)) ),
    inference(resolution,[],[f1359,f1361]) ).

fof(f1361,axiom,
    c_in(v_c,c_Zorn_Omaxchain(v_S,t_a),tc_set(tc_set(t_a))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).

fof(f1359,axiom,
    ! [X40,X2,X38,X34] :
      ( ~ c_in(X34,c_Zorn_Omaxchain(X40,X2),tc_set(tc_set(X2)))
      | c_Union(X34,X2) = X38
      | ~ c_lessequals(c_Union(X34,X2),X38,tc_set(X2))
      | ~ c_in(X38,X40,tc_set(X2)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Zorn_Omaxchain__Zorn_0) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : SET864-1 : TPTP v8.1.2. Released v3.2.0.
% 0.07/0.15  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.36  % Computer : n011.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   : Tue Apr 30 01:43:01 EDT 2024
% 0.14/0.37  % CPUTime    : 
% 0.14/0.37  % (20752)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.41  % (20755)WARNING: value z3 for option sas not known
% 0.22/0.41  % (20755)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)
% 0.22/0.41  % (20756)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.22/0.41  % (20754)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.22/0.41  % (20758)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)
% 0.22/0.41  % (20757)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)
% 0.22/0.41  % (20759)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)
% 0.22/0.42  % (20753)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.22/0.46  TRYING [1]
% 0.22/0.47  TRYING [2]
% 0.22/0.59  TRYING [3]
% 1.83/0.68  TRYING [1]
% 2.34/0.72  TRYING [2]
% 2.75/0.80  % (20755)First to succeed.
% 2.75/0.81  % (20755)Refutation found. Thanks to Tanya!
% 2.75/0.81  % SZS status Unsatisfiable for theBenchmark
% 2.75/0.81  % SZS output start Proof for theBenchmark
% See solution above
% 2.75/0.81  % (20755)------------------------------
% 2.75/0.81  % (20755)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 2.75/0.81  % (20755)Termination reason: Refutation
% 2.75/0.81  
% 2.75/0.81  % (20755)Memory used [KB]: 8005
% 2.75/0.81  % (20755)Time elapsed: 0.393 s
% 2.75/0.81  % (20755)Instructions burned: 890 (million)
% 2.75/0.81  % (20755)------------------------------
% 2.75/0.81  % (20755)------------------------------
% 2.75/0.81  % (20752)Success in time 0.437 s
%------------------------------------------------------------------------------