TSTP Solution File: SET846-2 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SET846-2 : 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 : n005.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 18:25:52 EDT 2022

% Result   : Unsatisfiable 0.16s 0.49s
% Output   : Refutation 0.16s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    5
% Syntax   : Number of formulae    :    9 (   6 unt;   0 def)
%            Number of atoms       :   12 (   0 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :    7 (   4   ~;   3   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   4 avg)
%            Maximal term depth    :    4 (   2 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-3 aty)
%            Number of functors    :    6 (   6 usr;   2 con; 0-3 aty)
%            Number of variables   :   17 (  17   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f13,plain,
    $false,
    inference(resolution,[],[f10,f5]) ).

fof(f5,axiom,
    ~ c_lessequals(c_Zorn_Osucc(v_S,c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a)),t_a),c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a)),tc_set(tc_set(t_a))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).

fof(f10,plain,
    ! [X2,X3] : c_lessequals(c_Zorn_Osucc(X2,c_Union(c_Zorn_OTFin(X2,X3),tc_set(X3)),X3),c_Union(c_Zorn_OTFin(X2,X3),tc_set(X3)),tc_set(tc_set(X3))),
    inference(resolution,[],[f7,f1]) ).

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

fof(f7,plain,
    ! [X0,X1] : c_in(c_Zorn_Osucc(X0,c_Union(c_Zorn_OTFin(X0,X1),tc_set(X1)),X1),c_Zorn_OTFin(X0,X1),tc_set(tc_set(X1))),
    inference(resolution,[],[f6,f3]) ).

fof(f3,axiom,
    ! [X2,X3,X4] :
      ( ~ c_in(X3,c_Zorn_OTFin(X4,X2),tc_set(tc_set(X2)))
      | c_in(c_Zorn_Osucc(X4,X3,X2),c_Zorn_OTFin(X4,X2),tc_set(tc_set(X2))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Zorn_OTFin_OsuccI_0) ).

fof(f6,plain,
    ! [X0,X1] : c_in(c_Union(c_Zorn_OTFin(X0,X1),tc_set(X1)),c_Zorn_OTFin(X0,X1),tc_set(tc_set(X1))),
    inference(resolution,[],[f4,f2]) ).

fof(f2,axiom,
    ! [X2,X1] : c_lessequals(X1,X1,tc_set(X2)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_Osubset__refl_0) ).

fof(f4,axiom,
    ! [X2,X4,X5] :
      ( ~ c_lessequals(X5,c_Zorn_OTFin(X4,X2),tc_set(tc_set(tc_set(X2))))
      | c_in(c_Union(X5,tc_set(X2)),c_Zorn_OTFin(X4,X2),tc_set(tc_set(X2))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Zorn_OTFin__UnionI_0) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10  % Problem    : SET846-2 : TPTP v8.1.0. Released v3.2.0.
% 0.00/0.11  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.11/0.31  % Computer : n005.cluster.edu
% 0.11/0.31  % Model    : x86_64 x86_64
% 0.11/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.31  % Memory   : 8042.1875MB
% 0.11/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.31  % CPULimit   : 300
% 0.11/0.31  % WCLimit    : 300
% 0.11/0.31  % DateTime   : Tue Aug 30 14:23:48 EDT 2022
% 0.16/0.31  % CPUTime    : 
% 0.16/0.45  % (9235)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/50Mi)
% 0.16/0.47  % (9235)Refutation not found, incomplete strategy% (9235)------------------------------
% 0.16/0.47  % (9235)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/0.47  % (9235)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.16/0.47  % (9235)Termination reason: Refutation not found, incomplete strategy
% 0.16/0.47  
% 0.16/0.47  % (9235)Memory used [KB]: 5373
% 0.16/0.47  % (9235)Time elapsed: 0.089 s
% 0.16/0.47  % (9235)Instructions burned: 1 (million)
% 0.16/0.47  % (9235)------------------------------
% 0.16/0.47  % (9235)------------------------------
% 0.16/0.47  % (9257)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/467Mi)
% 0.16/0.48  % (9241)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/7Mi)
% 0.16/0.48  % (9248)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/68Mi)
% 0.16/0.48  % (9249)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/75Mi)
% 0.16/0.49  % (9257)First to succeed.
% 0.16/0.49  % (9257)Refutation found. Thanks to Tanya!
% 0.16/0.49  % SZS status Unsatisfiable for theBenchmark
% 0.16/0.49  % SZS output start Proof for theBenchmark
% See solution above
% 0.16/0.49  % (9257)------------------------------
% 0.16/0.49  % (9257)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/0.49  % (9257)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.16/0.49  % (9257)Termination reason: Refutation
% 0.16/0.49  
% 0.16/0.49  % (9257)Memory used [KB]: 5373
% 0.16/0.49  % (9257)Time elapsed: 0.065 s
% 0.16/0.49  % (9257)Instructions burned: 1 (million)
% 0.16/0.49  % (9257)------------------------------
% 0.16/0.49  % (9257)------------------------------
% 0.16/0.49  % (9233)Success in time 0.17 s
%------------------------------------------------------------------------------