%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : SET845-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -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 : Wed Aug 31 18:22:30 EDT 2022

% Result   : Unsatisfiable 0.19s 0.50s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   13 (   6 unt;   0 def)
%            Number of atoms       :   22 (   6 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   20 (  11   ~;   9   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   4 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; 0-3 aty)
%            Number of variables   :   15 (  15   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f30,plain,
    $false,
    inference(subsumption_resolution,[],[f29,f5]) ).

fof(f5,axiom,
    c_in(v_m,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).

fof(f29,plain,
    ~ c_in(v_m,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a))),
    inference(subsumption_resolution,[],[f28,f7]) ).

fof(f7,axiom,
    v_m != c_Zorn_Osucc(v_S,v_m,t_a),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_2) ).

fof(f28,plain,
    ( v_m = c_Zorn_Osucc(v_S,v_m,t_a)
    | ~ c_in(v_m,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a))) ),
    inference(resolution,[],[f4,f16]) ).

fof(f16,plain,
    ! [X0] :
      ( ~ c_in(c_Zorn_Osucc(X0,v_m,t_a),c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))
      | v_m = c_Zorn_Osucc(X0,v_m,t_a) ),
    inference(resolution,[],[f13,f3]) ).

fof(f3,axiom,
    ! [X2,X3,X4] : c_lessequals(X3,c_Zorn_Osucc(X4,X3,X2),tc_set(tc_set(X2))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Zorn_OAbrial__axiom1_0) ).

fof(f13,plain,
    ! [X6] :
      ( ~ c_lessequals(v_m,X6,tc_set(tc_set(t_a)))
      | ~ c_in(X6,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))
      | v_m = X6 ),
    inference(resolution,[],[f2,f8]) ).

fof(f8,plain,
    ! [X0] :
      ( c_lessequals(X0,v_m,tc_set(tc_set(t_a)))
      | ~ c_in(X0,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a))) ),
    inference(superposition,[],[f1,f6]) ).

fof(f6,axiom,
    v_m = c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).

fof(f1,axiom,
    ! [X2,X0,X1] :
      ( c_lessequals(X0,c_Union(X1,X2),tc_set(X2))
      | ~ c_in(X0,X1,tc_set(X2)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OUnion__upper_0) ).

fof(f2,axiom,
    ! [X2,X0,X1] :
      ( ~ c_lessequals(X0,X1,tc_set(X2))
      | X0 = X1
      | ~ c_lessequals(X1,X0,tc_set(X2)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_Osubset__antisym_0) ).

fof(f4,axiom,
    ! [X2,X3,X4] :
      ( c_in(c_Zorn_Osucc(X4,X3,X2),c_Zorn_OTFin(X4,X2),tc_set(tc_set(X2)))
      | ~ c_in(X3,c_Zorn_OTFin(X4,X2),tc_set(tc_set(X2))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Zorn_OTFin_OsuccI_0) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12  % Problem    : SET845-2 : TPTP v8.1.0. Released v3.2.0.
% 0.04/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.12/0.34  % Computer : n004.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit   : 300
% 0.12/0.34  % WCLimit    : 300
% 0.12/0.34  % DateTime   : Tue Aug 30 14:20:49 EDT 2022
% 0.12/0.34  % CPUTime    : 
% 0.19/0.49  % (27578)lrs+10_1:1_sos=all:ss=axioms:st=1.5:i=20:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/20Mi)
% 0.19/0.49  % (27556)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 0.19/0.49  % (27553)lrs+10_1:1_bd=off:drc=off:lcm=reverse:nwc=5.0:sd=1:sgt=16:spb=goal_then_units:ss=axioms:to=lpo:i=43:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/43Mi)
% 0.19/0.49  % (27556)First to succeed.
% 0.19/0.50  % (27553)Also succeeded, but the first one will report.
% 0.19/0.50  % (27556)Refutation found. Thanks to Tanya!
% 0.19/0.50  % SZS status Unsatisfiable for theBenchmark
% 0.19/0.50  % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.50  % (27556)------------------------------
% 0.19/0.50  % (27556)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.50  % (27556)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.50  % (27556)Termination reason: Refutation
% 0.19/0.50  
% 0.19/0.50  % (27556)Memory used [KB]: 1279
% 0.19/0.50  % (27556)Time elapsed: 0.099 s
% 0.19/0.50  % (27556)Instructions burned: 2 (million)
% 0.19/0.50  % (27556)------------------------------
% 0.19/0.50  % (27556)------------------------------
% 0.19/0.50  % (27549)Success in time 0.144 s
%------------------------------------------------------------------------------