TSTP Solution File: SET849-1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : SET849-1 : 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 : n010.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 1.54s 0.61s
% Output   : Refutation 1.54s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    4
% Syntax   : Number of formulae    :    8 (   5 unt;   0 def)
%            Number of atoms       :   11 (   3 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   10 (   7   ~;   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   :    7 (   7   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1369,plain,
    $false,
    inference(subsumption_resolution,[],[f1368,f310]) ).

fof(f310,axiom,
    ! [X2,X13] : c_lessequals(X13,X13,tc_set(X2)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_Osubset__refl_0) ).

fof(f1368,plain,
    ~ c_lessequals(c_Zorn_OTFin(v_S,t_a),c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(tc_set(t_a)))),
    inference(resolution,[],[f1367,f1359]) ).

fof(f1359,axiom,
    ! [X2,X40,X54] :
      ( c_in(c_Union(X54,tc_set(X2)),c_Zorn_OTFin(X40,X2),tc_set(tc_set(X2)))
      | ~ c_lessequals(X54,c_Zorn_OTFin(X40,X2),tc_set(tc_set(tc_set(X2)))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Zorn_OTFin__UnionI_0) ).

fof(f1367,plain,
    ~ c_in(c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a)),c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a))),
    inference(trivial_inequality_removal,[],[f1366]) ).

fof(f1366,plain,
    ( ~ c_in(c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a)),c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))
    | 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,[],[f1365,f1362]) ).

fof(f1362,axiom,
    ! [X40,X2] :
      ( c_Union(c_Zorn_OTFin(X40,X2),tc_set(X2)) = c_Zorn_Osucc(X40,c_Union(c_Zorn_OTFin(X40,X2),tc_set(X2)),X2)
      | ~ c_in(c_Union(c_Zorn_OTFin(X40,X2),tc_set(X2)),c_Zorn_OTFin(X40,X2),tc_set(tc_set(X2))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Zorn_Oequal__succ__Union_1) ).

fof(f1365,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
% 0.11/0.12  % Problem    : SET849-1 : TPTP v8.1.0. Released v3.2.0.
% 0.11/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.34  % Computer : n010.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit   : 300
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Tue Aug 30 14:16:59 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 0.20/0.56  % (19387)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)
% 0.20/0.59  % (19404)lrs+1011_1:1_aac=none:bsr=unit_only:ep=R:sac=on:sos=all:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.20/0.59  % (19402)lrs+1010_1:1_bd=off:fsr=off:sd=1:sos=on:ss=axioms:i=67:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/67Mi)
% 0.20/0.59  % (19396)fmb+10_1:1_fmbes=contour:fmbsr=2.0:fmbsso=input_usage:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.20/0.59  % (19394)lrs+30_1:12_av=off:bs=unit_only:fsd=on:gs=on:lwlo=on:newcnf=on:slsq=on:slsqr=1,2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 1.54/0.60  % (19388)lrs+1010_1:4_amm=off:bce=on:sd=1:sos=on:ss=included:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.54/0.60  % (19402)Refutation not found, incomplete strategy% (19402)------------------------------
% 1.54/0.60  % (19402)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.54/0.60  % (19394)Instruction limit reached!
% 1.54/0.60  % (19394)------------------------------
% 1.54/0.60  % (19394)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.54/0.60  % (19396)Instruction limit reached!
% 1.54/0.60  % (19396)------------------------------
% 1.54/0.60  % (19396)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.54/0.60  % (19396)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.54/0.60  % (19396)Termination reason: Unknown
% 1.54/0.60  % (19396)Termination phase: Finite model building preprocessing
% 1.54/0.60  
% 1.54/0.60  % (19396)Memory used [KB]: 2558
% 1.54/0.60  % (19396)Time elapsed: 0.011 s
% 1.54/0.60  % (19396)Instructions burned: 6 (million)
% 1.54/0.60  % (19396)------------------------------
% 1.54/0.60  % (19396)------------------------------
% 1.54/0.61  % (19394)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.54/0.61  % (19394)Termination reason: Unknown
% 1.54/0.61  % (19394)Termination phase: SInE selection
% 1.54/0.61  
% 1.54/0.61  % (19394)Memory used [KB]: 2302
% 1.54/0.61  % (19394)Time elapsed: 0.005 s
% 1.54/0.61  % (19394)Instructions burned: 3 (million)
% 1.54/0.61  % (19394)------------------------------
% 1.54/0.61  % (19394)------------------------------
% 1.54/0.61  % (19402)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.54/0.61  % (19402)Termination reason: Refutation not found, incomplete strategy
% 1.54/0.61  
% 1.54/0.61  % (19402)Memory used [KB]: 6780
% 1.54/0.61  % (19402)Time elapsed: 0.133 s
% 1.54/0.61  % (19402)Instructions burned: 5 (million)
% 1.54/0.61  % (19402)------------------------------
% 1.54/0.61  % (19402)------------------------------
% 1.54/0.61  % (19388)First to succeed.
% 1.54/0.61  % (19388)Refutation found. Thanks to Tanya!
% 1.54/0.61  % SZS status Unsatisfiable for theBenchmark
% 1.54/0.61  % SZS output start Proof for theBenchmark
% See solution above
% 1.54/0.61  % (19388)------------------------------
% 1.54/0.61  % (19388)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.54/0.61  % (19388)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.54/0.61  % (19388)Termination reason: Refutation
% 1.54/0.61  
% 1.54/0.61  % (19388)Memory used [KB]: 6908
% 1.54/0.61  % (19388)Time elapsed: 0.088 s
% 1.54/0.61  % (19388)Instructions burned: 6 (million)
% 1.54/0.61  % (19388)------------------------------
% 1.54/0.61  % (19388)------------------------------
% 1.54/0.61  % (19378)Success in time 0.26 s
%------------------------------------------------------------------------------