%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : SET851-2 : 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 : n015.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 18:22:32 EDT 2022

% Result   : Unsatisfiable 0.20s 0.51s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   14 (   8 unt;   0 def)
%            Number of atoms       :   23 (   5 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   18 (   9   ~;   9   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   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;   4 con; 0-3 aty)
%            Number of variables   :    7 (   7   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f20,plain,
    $false,
    inference(subsumption_resolution,[],[f15,f1]) ).

fof(f1,axiom,
    ! [X0,X1] : c_lessequals(X0,X0,tc_set(X1)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_Osubset__refl_0) ).

fof(f15,plain,
    ~ c_lessequals(c_Zorn_Osucc(v_S,v_m,t_a),c_Zorn_Osucc(v_S,v_m,t_a),tc_set(tc_set(t_a))),
    inference(backward_demodulation,[],[f5,f12]) ).

fof(f12,plain,
    v_x = v_m,
    inference(resolution,[],[f11,f10]) ).

fof(f10,plain,
    ( c_lessequals(c_Zorn_Osucc(v_S,v_m,t_a),v_x,tc_set(tc_set(t_a)))
    | v_x = v_m ),
    inference(resolution,[],[f9,f6]) ).

fof(f6,axiom,
    ( c_lessequals(v_x,v_m,tc_set(tc_set(t_a)))
    | c_lessequals(c_Zorn_Osucc(v_S,v_m,t_a),v_x,tc_set(tc_set(t_a))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_4) ).

fof(f9,plain,
    ( ~ c_lessequals(v_x,v_m,tc_set(tc_set(t_a)))
    | v_x = v_m ),
    inference(subsumption_resolution,[],[f8,f4]) ).

fof(f4,axiom,
    ~ c_lessequals(c_Zorn_Osucc(v_S,v_x,t_a),v_m,tc_set(tc_set(t_a))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_2) ).

fof(f8,plain,
    ( c_lessequals(c_Zorn_Osucc(v_S,v_x,t_a),v_m,tc_set(tc_set(t_a)))
    | ~ c_lessequals(v_x,v_m,tc_set(tc_set(t_a)))
    | v_x = v_m ),
    inference(resolution,[],[f7,f3]) ).

fof(f3,axiom,
    c_in(v_x,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).

fof(f7,axiom,
    ! [X5] :
      ( ~ c_in(X5,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))
      | c_lessequals(c_Zorn_Osucc(v_S,X5,t_a),v_m,tc_set(tc_set(t_a)))
      | v_m = X5
      | ~ c_lessequals(X5,v_m,tc_set(tc_set(t_a))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_5) ).

fof(f11,plain,
    ~ c_lessequals(c_Zorn_Osucc(v_S,v_m,t_a),v_x,tc_set(tc_set(t_a))),
    inference(resolution,[],[f2,f5]) ).

fof(f2,axiom,
    ! [X2,X3,X1,X4] :
      ( c_lessequals(X2,c_Zorn_Osucc(X4,X3,X1),tc_set(tc_set(X1)))
      | ~ c_lessequals(X2,X3,tc_set(tc_set(X1))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Zorn_Osucc__trans_0) ).

fof(f5,axiom,
    ~ c_lessequals(c_Zorn_Osucc(v_S,v_m,t_a),c_Zorn_Osucc(v_S,v_x,t_a),tc_set(tc_set(t_a))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_3) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : SET851-2 : TPTP v8.1.0. Released v3.2.0.
% 0.07/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.14/0.35  % Computer : n015.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit   : 300
% 0.14/0.35  % WCLimit    : 300
% 0.14/0.35  % DateTime   : Tue Aug 30 14:36:21 EDT 2022
% 0.14/0.35  % CPUTime    : 
% 0.20/0.51  % (10527)lrs+10_1:1_kws=precedence:lwlo=on:tgt=ground:i=99966:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99966Mi)
% 0.20/0.51  % (10533)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)
% 0.20/0.51  % (10531)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=34:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/34Mi)
% 0.20/0.51  % (10533)First to succeed.
% 0.20/0.51  % (10531)Also succeeded, but the first one will report.
% 0.20/0.51  % (10533)Refutation found. Thanks to Tanya!
% 0.20/0.51  % SZS status Unsatisfiable for theBenchmark
% 0.20/0.51  % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.51  % (10533)------------------------------
% 0.20/0.51  % (10533)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.51  % (10533)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.51  % (10533)Termination reason: Refutation
% 0.20/0.51  
% 0.20/0.51  % (10533)Memory used [KB]: 1279
% 0.20/0.51  % (10533)Time elapsed: 0.107 s
% 0.20/0.51  % (10533)Instructions burned: 2 (million)
% 0.20/0.51  % (10533)------------------------------
% 0.20/0.51  % (10533)------------------------------
% 0.20/0.51  % (10524)Success in time 0.157 s
%------------------------------------------------------------------------------