%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SET849-2 : 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_sat --cores 0 -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 : Wed Aug 31 18:25:53 EDT 2022

% Result   : Unsatisfiable 0.21s 0.52s
% Output   : Refutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    4
% Syntax   : Number of formulae    :    8 (   5 unt;   0 def)
%            Number of atoms       :   11 (   5 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :    8 (   5   ~;   3   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   3 avg)
%            Maximal term depth    :    4 (   2 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-3 aty)
%            Number of functors    :    6 (   6 usr;   2 con; 0-3 aty)
%            Number of variables   :   11 (  11   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f8,plain,
    $false,
    inference(trivial_inequality_removal,[],[f7]) ).

fof(f7,plain,
    c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a)) != c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a)),
    inference(superposition,[],[f4,f6]) ).

fof(f6,plain,
    ! [X0,X1] : c_Zorn_Osucc(X0,c_Union(c_Zorn_OTFin(X0,X1),tc_set(X1)),X1) = c_Union(c_Zorn_OTFin(X0,X1),tc_set(X1)),
    inference(subsumption_resolution,[],[f5,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(f5,plain,
    ! [X0,X1] :
      ( ~ c_lessequals(c_Zorn_OTFin(X0,X1),c_Zorn_OTFin(X0,X1),tc_set(tc_set(tc_set(X1))))
      | c_Zorn_Osucc(X0,c_Union(c_Zorn_OTFin(X0,X1),tc_set(X1)),X1) = c_Union(c_Zorn_OTFin(X0,X1),tc_set(X1)) ),
    inference(resolution,[],[f3,f2]) ).

fof(f2,axiom,
    ! [X2,X3,X1] :
      ( c_in(c_Union(X2,tc_set(X1)),c_Zorn_OTFin(X3,X1),tc_set(tc_set(X1)))
      | ~ c_lessequals(X2,c_Zorn_OTFin(X3,X1),tc_set(tc_set(tc_set(X1)))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Zorn_OTFin__UnionI_0) ).

fof(f3,axiom,
    ! [X3,X1] :
      ( ~ c_in(c_Union(c_Zorn_OTFin(X3,X1),tc_set(X1)),c_Zorn_OTFin(X3,X1),tc_set(tc_set(X1)))
      | c_Union(c_Zorn_OTFin(X3,X1),tc_set(X1)) = c_Zorn_Osucc(X3,c_Union(c_Zorn_OTFin(X3,X1),tc_set(X1)),X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Zorn_Oequal__succ__Union_1) ).

fof(f4,axiom,
    c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a)) != c_Zorn_Osucc(v_S,c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a)),t_a),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12  % Problem    : SET849-2 : TPTP v8.1.0. Released v3.2.0.
% 0.12/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.35  % Computer : n011.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit   : 300
% 0.13/0.35  % WCLimit    : 300
% 0.13/0.35  % DateTime   : Tue Aug 30 14:21:55 EDT 2022
% 0.13/0.35  % CPUTime    : 
% 0.21/0.52  % (17575)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.21/0.52  % (17575)First to succeed.
% 0.21/0.52  % (17575)Refutation found. Thanks to Tanya!
% 0.21/0.52  % SZS status Unsatisfiable for theBenchmark
% 0.21/0.52  % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.52  % (17575)------------------------------
% 0.21/0.52  % (17575)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.52  % (17575)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.52  % (17575)Termination reason: Refutation
% 0.21/0.52  
% 0.21/0.52  % (17575)Memory used [KB]: 5373
% 0.21/0.52  % (17575)Time elapsed: 0.109 s
% 0.21/0.52  % (17575)Instructions burned: 1 (million)
% 0.21/0.52  % (17575)------------------------------
% 0.21/0.52  % (17575)------------------------------
% 0.21/0.52  % (17566)Success in time 0.165 s
%------------------------------------------------------------------------------