TSTP Solution File: TOP001-2 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : TOP001-2 : TPTP v8.2.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -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 : Tue May 21 09:17:50 EDT 2024

% Result   : Unsatisfiable 0.61s 0.80s
% Output   : Refutation 0.61s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   14
%            Number of leaves      :   12
% Syntax   : Number of formulae    :   26 (   5 unt;   0 def)
%            Number of atoms       :   62 (   0 equ)
%            Maximal formula atoms :    5 (   2 avg)
%            Number of connectives :   76 (  40   ~;  36   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   5 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    6 (   5 usr;   1 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   2 con; 0-3 aty)
%            Number of variables   :   46 (  46   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f50,plain,
    $false,
    inference(resolution,[],[f48,f13]) ).

fof(f13,axiom,
    ~ subset_sets(union_of_members(top_of_basis(f)),cx),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lemma_1a_2) ).

fof(f48,plain,
    subset_sets(union_of_members(top_of_basis(f)),cx),
    inference(resolution,[],[f47,f10]) ).

fof(f10,axiom,
    ! [X3,X4] :
      ( element_of_set(in_1st_set(X3,X4),X3)
      | subset_sets(X3,X4) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',set_theory_4) ).

fof(f47,plain,
    ~ element_of_set(in_1st_set(union_of_members(top_of_basis(f)),cx),union_of_members(top_of_basis(f))),
    inference(duplicate_literal_removal,[],[f46]) ).

fof(f46,plain,
    ( ~ element_of_set(in_1st_set(union_of_members(top_of_basis(f)),cx),union_of_members(top_of_basis(f)))
    | ~ element_of_set(in_1st_set(union_of_members(top_of_basis(f)),cx),union_of_members(top_of_basis(f))) ),
    inference(resolution,[],[f43,f1]) ).

fof(f1,axiom,
    ! [X0,X1] :
      ( element_of_set(X0,f1(X1,X0))
      | ~ element_of_set(X0,union_of_members(X1)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',union_of_members_1) ).

fof(f43,plain,
    ! [X0] :
      ( ~ element_of_set(in_1st_set(union_of_members(top_of_basis(f)),cx),f1(top_of_basis(f),X0))
      | ~ element_of_set(X0,union_of_members(top_of_basis(f))) ),
    inference(resolution,[],[f41,f2]) ).

fof(f2,axiom,
    ! [X0,X1] :
      ( element_of_collection(f1(X1,X0),X1)
      | ~ element_of_set(X0,union_of_members(X1)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',union_of_members_2) ).

fof(f41,plain,
    ! [X0] :
      ( ~ element_of_collection(X0,top_of_basis(f))
      | ~ element_of_set(in_1st_set(union_of_members(top_of_basis(f)),cx),X0) ),
    inference(resolution,[],[f40,f13]) ).

fof(f40,plain,
    ! [X0,X1] :
      ( subset_sets(X0,cx)
      | ~ element_of_collection(X1,top_of_basis(f))
      | ~ element_of_set(in_1st_set(X0,cx),X1) ),
    inference(resolution,[],[f39,f11]) ).

fof(f11,axiom,
    ! [X3,X4] :
      ( ~ element_of_set(in_1st_set(X3,X4),X4)
      | subset_sets(X3,X4) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',set_theory_5) ).

fof(f39,plain,
    ! [X0,X1] :
      ( element_of_set(X1,cx)
      | ~ element_of_set(X1,X0)
      | ~ element_of_collection(X0,top_of_basis(f)) ),
    inference(duplicate_literal_removal,[],[f38]) ).

fof(f38,plain,
    ! [X0,X1] :
      ( ~ element_of_collection(X0,top_of_basis(f))
      | ~ element_of_set(X1,X0)
      | element_of_set(X1,cx)
      | ~ element_of_set(X1,X0)
      | ~ element_of_collection(X0,top_of_basis(f)) ),
    inference(resolution,[],[f36,f5]) ).

fof(f5,axiom,
    ! [X3,X0,X1] :
      ( element_of_set(X3,f10(X1,X0,X3))
      | ~ element_of_set(X3,X0)
      | ~ element_of_collection(X0,top_of_basis(X1)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',topology_generated_37) ).

fof(f36,plain,
    ! [X2,X0,X1] :
      ( ~ element_of_set(X2,f10(f,X1,X0))
      | ~ element_of_collection(X1,top_of_basis(f))
      | ~ element_of_set(X0,X1)
      | element_of_set(X2,cx) ),
    inference(resolution,[],[f6,f23]) ).

fof(f23,plain,
    ! [X0,X1] :
      ( ~ element_of_collection(X1,f)
      | ~ element_of_set(X0,X1)
      | element_of_set(X0,cx) ),
    inference(resolution,[],[f22,f12]) ).

fof(f12,axiom,
    basis(cx,f),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lemma_1a_1) ).

fof(f22,plain,
    ! [X2,X3,X0,X1] :
      ( ~ basis(X1,X2)
      | element_of_set(X0,X1)
      | ~ element_of_set(X0,X3)
      | ~ element_of_collection(X3,X2) ),
    inference(resolution,[],[f19,f3]) ).

fof(f3,axiom,
    ! [X2,X0,X1] :
      ( element_of_set(X0,union_of_members(X1))
      | ~ element_of_set(X0,X2)
      | ~ element_of_collection(X2,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',union_of_members_3) ).

fof(f19,plain,
    ! [X2,X0,X1] :
      ( ~ element_of_set(X0,union_of_members(X1))
      | element_of_set(X0,X2)
      | ~ basis(X2,X1) ),
    inference(resolution,[],[f8,f14]) ).

fof(f14,plain,
    ! [X0,X1] :
      ( subset_sets(union_of_members(X1),X0)
      | ~ basis(X0,X1) ),
    inference(resolution,[],[f4,f9]) ).

fof(f9,axiom,
    ! [X3,X4] :
      ( ~ equal_sets(X3,X4)
      | subset_sets(X3,X4) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',set_theory_3) ).

fof(f4,axiom,
    ! [X3,X1] :
      ( equal_sets(union_of_members(X1),X3)
      | ~ basis(X3,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',basis_for_topology_28) ).

fof(f8,axiom,
    ! [X3,X0,X4] :
      ( ~ subset_sets(X3,X4)
      | ~ element_of_set(X0,X3)
      | element_of_set(X0,X4) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',set_theory_2) ).

fof(f6,axiom,
    ! [X3,X0,X1] :
      ( element_of_collection(f10(X1,X0,X3),X1)
      | ~ element_of_set(X3,X0)
      | ~ element_of_collection(X0,top_of_basis(X1)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',topology_generated_38) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12  % Problem    : TOP001-2 : TPTP v8.2.0. Released v1.0.0.
% 0.14/0.14  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.14/0.35  % Computer : n004.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   : Sat May 18 11:26:53 EDT 2024
% 0.14/0.35  % CPUTime    : 
% 0.14/0.35  This is a CNF_UNS_RFO_NEQ_NHN problem
% 0.14/0.35  Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.61/0.79  % (22450)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on theBenchmark for (2995ds/45Mi)
% 0.61/0.80  % (22450)Refutation not found, incomplete strategy% (22450)------------------------------
% 0.61/0.80  % (22450)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.80  % (22450)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.80  
% 0.61/0.80  % (22450)Memory used [KB]: 951
% 0.61/0.80  % (22450)Time elapsed: 0.001 s
% 0.61/0.80  % (22450)Instructions burned: 2 (million)
% 0.61/0.80  % (22450)------------------------------
% 0.61/0.80  % (22450)------------------------------
% 0.61/0.80  % (22445)dis-1011_2:1_sil=2000:lsd=20:nwc=5.0:flr=on:mep=off:st=3.0:i=34:sd=1:ep=RS:ss=axioms_0 on theBenchmark for (2995ds/34Mi)
% 0.61/0.80  % (22446)lrs+1011_461:32768_sil=16000:irw=on:sp=frequency:lsd=20:fd=preordered:nwc=10.0:s2agt=32:alpa=false:cond=fast:s2a=on:i=51:s2at=3.0:awrs=decay:awrsf=691:bd=off:nm=20:fsr=off:amm=sco:uhcvi=on:rawr=on_0 on theBenchmark for (2995ds/51Mi)
% 0.61/0.80  % (22447)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on theBenchmark for (2995ds/78Mi)
% 0.61/0.80  % (22448)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on theBenchmark for (2995ds/33Mi)
% 0.61/0.80  % (22449)lrs+2_1:1_sil=16000:fde=none:sos=all:nwc=5.0:i=34:ep=RS:s2pl=on:lma=on:afp=100000_0 on theBenchmark for (2995ds/34Mi)
% 0.61/0.80  % (22448)Refutation not found, incomplete strategy% (22448)------------------------------
% 0.61/0.80  % (22448)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.80  % (22448)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.80  
% 0.61/0.80  % (22448)Memory used [KB]: 950
% 0.61/0.80  % (22448)Time elapsed: 0.002 s
% 0.61/0.80  % (22448)Instructions burned: 2 (million)
% 0.61/0.80  % (22449)Refutation not found, incomplete strategy% (22449)------------------------------
% 0.61/0.80  % (22449)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.80  % (22449)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.80  
% 0.61/0.80  % (22449)Memory used [KB]: 952
% 0.61/0.80  % (22449)Time elapsed: 0.002 s
% 0.61/0.80  % (22449)Instructions burned: 2 (million)
% 0.61/0.80  % (22448)------------------------------
% 0.61/0.80  % (22448)------------------------------
% 0.61/0.80  % (22449)------------------------------
% 0.61/0.80  % (22449)------------------------------
% 0.61/0.80  % (22446)First to succeed.
% 0.61/0.80  % (22452)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on theBenchmark for (2995ds/56Mi)
% 0.61/0.80  % (22452)Refutation not found, incomplete strategy% (22452)------------------------------
% 0.61/0.80  % (22452)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.80  % (22452)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.80  
% 0.61/0.80  % (22452)Memory used [KB]: 949
% 0.61/0.80  % (22452)Time elapsed: 0.001 s
% 0.61/0.80  % (22452)Instructions burned: 2 (million)
% 0.61/0.80  % (22452)------------------------------
% 0.61/0.80  % (22452)------------------------------
% 0.61/0.80  % (22446)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-22444"
% 0.61/0.80  % (22446)Refutation found. Thanks to Tanya!
% 0.61/0.80  % SZS status Unsatisfiable for theBenchmark
% 0.61/0.80  % SZS output start Proof for theBenchmark
% See solution above
% 0.61/0.80  % (22446)------------------------------
% 0.61/0.80  % (22446)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.80  % (22446)Termination reason: Refutation
% 0.61/0.80  
% 0.61/0.80  % (22446)Memory used [KB]: 982
% 0.61/0.80  % (22446)Time elapsed: 0.004 s
% 0.61/0.80  % (22446)Instructions burned: 4 (million)
% 0.61/0.80  % (22444)Success in time 0.436 s
% 0.61/0.80  % Vampire---4.8 exiting
%------------------------------------------------------------------------------