TMTP Model File: SET778-1.008-Sat

View Problem - Process Model

%------------------------------------------------------------------------------
% File       : Vampire---SAT-4.0
% Problem    : SET778-1 : TPTP v6.2.0. Released v2.5.0.
% Transform  : none
% Format     : tptp:raw
% Command    : vampire --mode casc_sat -t %d %s

% Computer   : n124.star.cs.uiowa.edu
% Model      : x86_64 x86_64
% CPU        : Intel(R) Xeon(R) CPU E5-2609 0 2.40GHz
% Memory     : 32286.75MB
% OS         : Linux 2.6.32-504.23.4.el6.x86_64
% CPULimit   : 300s
% DateTime   : Thu Jul  9 22:31:16 EDT 2015

% Result     : Satisfiable 0.02s
% Output     : Saturation 0.02s
% Verified   : 
% Statistics : Number of clauses        :   26 (  26 expanded)
%              Number of leaves         :   26 (  26 expanded)
%              Depth                    :    0
%              Number of atoms          :   69 (  69 expanded)
%              Number of equality atoms :    0 (   0 expanded)
%              Maximal clause size      :    4 (   3 average)
%              Maximal term depth       :    2 (   1 average)

% Comments   : 
%------------------------------------------------------------------------------
%----WARNING: Vampire---SAT-4.0 format not known, defaulting to TPTP
cnf(u49,axiom,
    ( union(X0,X0,X0) )).

cnf(member_of_set1_is_member_of_union,axiom,
    ( ~ union(X3,X4,X5)
    | member(X0,X5)
    | ~ member(X0,X3) )).

cnf(member_of_set2_is_member_of_union,axiom,
    ( ~ union(X3,X4,X5)
    | member(X0,X5)
    | ~ member(X0,X4) )).

cnf(member_of_union_is_member_of_one_set,axiom,
    ( ~ union(X3,X4,X5)
    | member(X0,X4)
    | member(X0,X3)
    | ~ member(X0,X5) )).

cnf(u17,axiom,
    ( equal_sets(X0,X0) )).

cnf(set_equal_sets_are_subsets1,axiom,
    ( ~ equal_sets(X1,X2)
    | subset(X1,X2) )).

cnf(set_equal_sets_are_subsets2,axiom,
    ( ~ equal_sets(X2,X1)
    | subset(X1,X2) )).

cnf(u14,axiom,
    ( subset(X0,X0) )).

cnf(membership_in_subsets,axiom,
    ( ~ subset(X1,X2)
    | ~ member(X0,X1)
    | member(X0,X2) )).

cnf(subsets_are_set_equal_sets,axiom,
    ( ~ subset(X4,X3)
    | ~ subset(X3,X4)
    | equal_sets(X4,X3) )).

cnf(u28,axiom,
    ( member(g(X4,X4,X5),X5)
    | member(g(X4,X4,X5),X4)
    | union(X4,X4,X5) )).

cnf(u28_001,axiom,
    ( member(g(X4,X4,X5),X5)
    | member(g(X4,X4,X5),X4)
    | union(X4,X4,X5) )).

cnf(u39,axiom,
    ( member(g(X0,X0,X0),X0)
    | union(X0,X0,X0) )).

cnf(u27,axiom,
    ( member(g(X2,X3,X2),X3)
    | member(g(X2,X3,X2),X2)
    | union(X2,X3,X2) )).

cnf(u27_002,axiom,
    ( member(g(X2,X3,X2),X3)
    | member(g(X2,X3,X2),X2)
    | union(X2,X3,X2) )).

cnf(u64,axiom,
    ( member(g(X2,X3,X2),X3)
    | union(X2,X3,X2) )).

cnf(u26,axiom,
    ( member(g(X0,X1,X1),X1)
    | member(g(X0,X1,X1),X0)
    | union(X0,X1,X1) )).

cnf(u44,axiom,
    ( member(g(X0,X1,X1),X0)
    | union(X0,X1,X1) )).

cnf(u26_003,axiom,
    ( member(g(X0,X1,X1),X1)
    | member(g(X0,X1,X1),X0)
    | union(X0,X1,X1) )).

cnf(union_axiom1,axiom,
    ( member(g(X3,X4,X5),X5)
    | member(g(X3,X4,X5),X4)
    | member(g(X3,X4,X5),X3)
    | union(X3,X4,X5) )).

cnf(union_axiom1_004,axiom,
    ( member(g(X3,X4,X5),X5)
    | member(g(X3,X4,X5),X4)
    | member(g(X3,X4,X5),X3)
    | union(X3,X4,X5) )).

cnf(union_axiom1_005,axiom,
    ( member(g(X3,X4,X5),X5)
    | member(g(X3,X4,X5),X4)
    | member(g(X3,X4,X5),X3)
    | union(X3,X4,X5) )).

cnf(subsets_axiom1,axiom,
    ( member(member_of_1_not_of_2(X1,X2),X1)
    | subset(X1,X2) )).

cnf(union_axiom2,axiom,
    ( ~ member(g(X3,X4,X5),X5)
    | union(X3,X4,X5)
    | ~ member(g(X3,X4,X5),X3) )).

cnf(union_axiom3,axiom,
    ( ~ member(g(X3,X4,X5),X5)
    | union(X3,X4,X5)
    | ~ member(g(X3,X4,X5),X4) )).

cnf(subsets_axiom2,axiom,
    ( ~ member(member_of_1_not_of_2(X1,X2),X2)
    | subset(X1,X2) )).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem    : SET778-1 : TPTP v6.2.0. Released v2.5.0.
% 0.00/0.04  % Command    : vampire --mode casc_sat -t %d %s
% 0.02/1.07  % Computer   : n124.star.cs.uiowa.edu
% 0.02/1.07  % Model      : x86_64 x86_64
% 0.02/1.07  % CPU        : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
% 0.02/1.07  % Memory     : 32286.75MB
% 0.02/1.07  % OS         : Linux 2.6.32-504.23.4.el6.x86_64
% 0.02/1.07  % CPULimit   : 300
% 0.02/1.07  % DateTime   : Tue Jul  7 12:05:12 CDT 2015
% 0.02/1.07  % CPUTime    : 
% 0.02/1.07  Hi Geoff, go and have some cold beer while I am trying to solve this very hard problem!
% 0.02/1.07  % remaining time: 3000 next slice time: 3
% 0.02/1.08  dis+10_3_cond=fast:fsr=off:gs=on:gsaa=full_model:gsssp=full:nwc=1:sac=on:sdd=large:sser=off:sfr=on:ssfp=10000:ssfq=1.2:ssnc=none:sp=occurrence_1 on theBenchmark
% 0.02/1.08  Satisfiable!
% 0.02/1.08  % SZS status Satisfiable for theBenchmark
% 0.02/1.08  % # SZS output start Saturation.
% 0.02/1.08  cnf(u49,axiom,
% 0.02/1.08      union(X0,X0,X0)).
% 0.02/1.08  
% 0.02/1.08  cnf(member_of_set1_is_member_of_union,axiom,
% 0.02/1.08      ~union(X3,X4,X5) | member(X0,X5) | ~member(X0,X3)).
% 0.02/1.08  
% 0.02/1.08  cnf(member_of_set2_is_member_of_union,axiom,
% 0.02/1.08      ~union(X3,X4,X5) | member(X0,X5) | ~member(X0,X4)).
% 0.02/1.08  
% 0.02/1.08  cnf(member_of_union_is_member_of_one_set,axiom,
% 0.02/1.08      ~union(X3,X4,X5) | member(X0,X4) | member(X0,X3) | ~member(X0,X5)).
% 0.02/1.08  
% 0.02/1.08  cnf(u17,axiom,
% 0.02/1.08      equal_sets(X0,X0)).
% 0.02/1.08  
% 0.02/1.08  cnf(set_equal_sets_are_subsets1,axiom,
% 0.02/1.08      ~equal_sets(X1,X2) | subset(X1,X2)).
% 0.02/1.08  
% 0.02/1.08  cnf(set_equal_sets_are_subsets2,axiom,
% 0.02/1.08      ~equal_sets(X2,X1) | subset(X1,X2)).
% 0.02/1.08  
% 0.02/1.08  cnf(u14,axiom,
% 0.02/1.08      subset(X0,X0)).
% 0.02/1.08  
% 0.02/1.08  cnf(membership_in_subsets,axiom,
% 0.02/1.08      ~subset(X1,X2) | ~member(X0,X1) | member(X0,X2)).
% 0.02/1.08  
% 0.02/1.08  cnf(subsets_are_set_equal_sets,axiom,
% 0.02/1.08      ~subset(X4,X3) | ~subset(X3,X4) | equal_sets(X4,X3)).
% 0.02/1.08  
% 0.02/1.08  cnf(u28,axiom,
% 0.02/1.08      member(g(X4,X4,X5),X5) | member(g(X4,X4,X5),X4) | union(X4,X4,X5)).
% 0.02/1.08  
% 0.02/1.08  cnf(u28,axiom,
% 0.02/1.08      member(g(X4,X4,X5),X5) | member(g(X4,X4,X5),X4) | union(X4,X4,X5)).
% 0.02/1.08  
% 0.02/1.08  cnf(u39,axiom,
% 0.02/1.08      member(g(X0,X0,X0),X0) | union(X0,X0,X0)).
% 0.02/1.08  
% 0.02/1.08  cnf(u27,axiom,
% 0.02/1.08      member(g(X2,X3,X2),X3) | member(g(X2,X3,X2),X2) | union(X2,X3,X2)).
% 0.02/1.08  
% 0.02/1.08  cnf(u27,axiom,
% 0.02/1.08      member(g(X2,X3,X2),X3) | member(g(X2,X3,X2),X2) | union(X2,X3,X2)).
% 0.02/1.08  
% 0.02/1.08  cnf(u64,axiom,
% 0.02/1.08      member(g(X2,X3,X2),X3) | union(X2,X3,X2)).
% 0.02/1.08  
% 0.02/1.08  cnf(u26,axiom,
% 0.02/1.08      member(g(X0,X1,X1),X1) | member(g(X0,X1,X1),X0) | union(X0,X1,X1)).
% 0.02/1.08  
% 0.02/1.08  cnf(u44,axiom,
% 0.02/1.08      member(g(X0,X1,X1),X0) | union(X0,X1,X1)).
% 0.02/1.08  
% 0.02/1.08  cnf(u26,axiom,
% 0.02/1.09      member(g(X0,X1,X1),X1) | member(g(X0,X1,X1),X0) | union(X0,X1,X1)).
% 0.02/1.09  
% 0.02/1.09  cnf(union_axiom1,axiom,
% 0.02/1.09      member(g(X3,X4,X5),X5) | member(g(X3,X4,X5),X4) | member(g(X3,X4,X5),X3) | union(X3,X4,X5)).
% 0.02/1.09  
% 0.02/1.09  cnf(union_axiom1,axiom,
% 0.02/1.09      member(g(X3,X4,X5),X5) | member(g(X3,X4,X5),X4) | member(g(X3,X4,X5),X3) | union(X3,X4,X5)).
% 0.02/1.09  
% 0.02/1.09  cnf(union_axiom1,axiom,
% 0.02/1.09      member(g(X3,X4,X5),X5) | member(g(X3,X4,X5),X4) | member(g(X3,X4,X5),X3) | union(X3,X4,X5)).
% 0.02/1.09  
% 0.02/1.09  cnf(subsets_axiom1,axiom,
% 0.02/1.09      member(member_of_1_not_of_2(X1,X2),X1) | subset(X1,X2)).
% 0.02/1.09  
% 0.02/1.09  cnf(union_axiom2,axiom,
% 0.02/1.09      ~member(g(X3,X4,X5),X5) | union(X3,X4,X5) | ~member(g(X3,X4,X5),X3)).
% 0.02/1.09  
% 0.02/1.09  cnf(union_axiom3,axiom,
% 0.02/1.09      ~member(g(X3,X4,X5),X5) | union(X3,X4,X5) | ~member(g(X3,X4,X5),X4)).
% 0.02/1.09  
% 0.02/1.09  cnf(subsets_axiom2,axiom,
% 0.02/1.09      ~member(member_of_1_not_of_2(X1,X2),X2) | subset(X1,X2)).
% 0.02/1.09  
% 0.02/1.09  % # SZS output end Saturation.
% 0.02/1.09  % ------------------------------
% 0.02/1.09  % Version: Vampire 4.0 (commit 2df2fce on 2015-07-07 02:33:56 +0100)
% 0.02/1.09  % Termination reason: Satisfiable
% 0.02/1.09  
% 0.02/1.09  % Active clauses: 21
% 0.02/1.09  % Passive clauses: 22
% 0.02/1.09  % Generated clauses: 81
% 0.02/1.09  % Final active clauses: 21
% 0.02/1.09  % Input clauses: 12
% 0.02/1.09  % Initial clauses: 12
% 0.02/1.09  % 
% 0.02/1.09  % Duplicate literals: 26
% 0.02/1.09  % Global subsumptions: 5
% 0.02/1.09  % 
% 0.02/1.09  % Simple tautologies: 20
% 0.02/1.09  % Forward subsumptions: 9
% 0.02/1.09  % 
% 0.02/1.09  % Binary resolution: 32
% 0.02/1.09  % Factoring: 6
% 0.02/1.09  % 
% 0.02/1.09  % SAT solver clauses: 71
% 0.02/1.09  % SAT solver unit clauses: 21
% 0.02/1.09  % SAT solver binary clauses: 21
% 0.02/1.09  % SAT solver learnt clauses: 15
% 0.02/1.09  % SAT solver learnt literals: 14
% 0.02/1.09  % 
% 0.02/1.09  % TWLsolver clauses: 48
% 0.02/1.09  % TWLsolver calls for satisfiability: 465
% 0.02/1.09  % 
% 0.02/1.09  % Memory used [KB]: 511
% 0.02/1.09  % Time elapsed: 0.003 s
% 0.02/1.09  % ------------------------------
% 0.02/1.09  ----  Runtime statistics ----
% 0.02/1.09  clauses created: 81
% 0.02/1.09  clauses deleted: 49
% 0.02/1.09  -----------------------------
% 0.02/1.09  % ------------------------------
% 0.02/1.09  % Success in time 0.012 s
%------------------------------------------------------------------------------