TMTP Model File: SET779-1.007-Sat

View Problem - Process Model

%------------------------------------------------------------------------------
% File       : Vampire---4.0
% Problem    : SET779-1 : TPTP v6.2.0. Released v2.5.0.
% Transform  : none
% Format     : tptp:raw
% Command    : vampire --mode casc -t %d %s

% Computer   : n123.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 22:29:24 EDT 2015

% Result     : Satisfiable 1.44s
% Output     : Saturation 1.44s
% Verified   : 
% Statistics : Number of clauses        :   21 (  21 expanded)
%              Number of leaves         :   21 (  21 expanded)
%              Depth                    :    0
%              Number of atoms          :   51 (  51 expanded)
%              Number of equality atoms :    0 (   0 expanded)
%              Maximal clause size      :    4 (   2 average)
%              Maximal term depth       :    2 (   1 average)

% Comments   : 
%------------------------------------------------------------------------------
%----WARNING: Vampire---4.0 format not known, defaulting to TPTP
cnf(u43,axiom,
    ( intersection(X5,X5,X5) )).

cnf(member_of_intersection_is_member_of_set1,axiom,
    ( ~ intersection(X3,X4,X5)
    | member(X0,X3)
    | ~ member(X0,X5) )).

cnf(member_of_intersection_is_member_of_set2,axiom,
    ( ~ intersection(X3,X4,X5)
    | member(X0,X4)
    | ~ member(X0,X5) )).

cnf(member_of_both_is_member_of_intersection,axiom,
    ( ~ intersection(X3,X4,X5)
    | ~ member(X0,X3)
    | member(X0,X5)
    | ~ member(X0,X4) )).

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(u21,axiom,
    ( member(h(X0,X1,X1),X1)
    | intersection(X0,X1,X1) )).

cnf(u20,axiom,
    ( member(h(X0,X1,X0),X0)
    | intersection(X0,X1,X0) )).

cnf(intersection_axiom2,axiom,
    ( member(h(X3,X4,X5),X5)
    | member(h(X3,X4,X5),X4)
    | intersection(X3,X4,X5) )).

cnf(intersection_axiom1,axiom,
    ( member(h(X3,X4,X5),X5)
    | member(h(X3,X4,X5),X3)
    | intersection(X3,X4,X5) )).

cnf(intersection_axiom1_001,axiom,
    ( member(h(X3,X4,X5),X5)
    | member(h(X3,X4,X5),X3)
    | intersection(X3,X4,X5) )).

cnf(intersection_axiom2_002,axiom,
    ( member(h(X3,X4,X5),X5)
    | member(h(X3,X4,X5),X4)
    | intersection(X3,X4,X5) )).

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

cnf(u35,axiom,
    ( ~ member(h(X12,X13,X13),X12)
    | intersection(X12,X13,X13) )).

cnf(u34,axiom,
    ( ~ member(h(X10,X11,X10),X11)
    | intersection(X10,X11,X10) )).

cnf(intersection_axiom3,axiom,
    ( ~ member(h(X3,X4,X5),X5)
    | ~ member(h(X3,X4,X5),X3)
    | ~ member(h(X3,X4,X5),X4)
    | intersection(X3,X4,X5) )).

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    : SET779-1 : TPTP v6.2.0. Released v2.5.0.
% 0.00/0.04  % Command    : vampire --mode casc -t %d %s
% 0.02/1.07  % Computer   : n123.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: 14
% 0.02/1.08  dis+2_12_fsr=off:lcm=reverse:nwc=3:spl=off:sp=reverse_arity:updr=off_13 on theBenchmark
% 1.44/2.58  % (38768)Time limit reached!
% 1.44/2.58  % ------------------------------
% 1.44/2.58  % Version: Vampire 4.0 (commit 2df2fce on 2015-07-07 02:33:56 +0100)
% 1.44/2.58  % Termination reason: Time limit
% 1.44/2.58  % Termination phase: Saturation
% 1.44/2.58  
% 1.44/2.58  % Active clauses: 392
% 1.44/2.58  % Passive clauses: 2032
% 1.44/2.58  % Generated clauses: 4052
% 1.44/2.58  % Final active clauses: 392
% 1.44/2.58  % Final passive clauses: 1271
% 1.44/2.58  % Input clauses: 12
% 1.44/2.58  % Initial clauses: 12
% 1.44/2.58  % 
% 1.44/2.58  % Duplicate literals: 212
% 1.44/2.58  % 
% 1.44/2.58  % Simple tautologies: 83
% 1.44/2.58  % Forward subsumptions: 2054
% 1.44/2.58  % 
% 1.44/2.58  % Binary resolution: 3286
% 1.44/2.58  % Factoring: 542
% 1.44/2.58  % 
% 1.44/2.58  % Memory used [KB]: 4605
% 1.44/2.58  % Time elapsed: 1.500 s
% 1.44/2.58  % ------------------------------
% 1.44/2.58  ----  Runtime statistics ----
% 1.44/2.58  clauses created: 4052
% 1.44/2.58  clauses deleted: 1927
% 1.44/2.58  -----------------------------
% 1.44/2.58  % ------------------------------
% 1.44/2.58  % remaining time: 2984 next slice time: 18
% 1.44/2.59  dis+11_128_cond=fast:fsr=off:lcm=reverse:lwlo=on:nwc=1:sos=on:spl=off:sp=reverse_arity:updr=off_17 on theBenchmark
% 1.44/2.59  % Refutation not found, incomplete strategy
% 1.44/2.59  % ------------------------------
% 1.44/2.59  % Version: Vampire 4.0 (commit 2df2fce on 2015-07-07 02:33:56 +0100)
% 1.44/2.59  % Termination reason: Refutation not found, incomplete strategy
% 1.44/2.59  
% 1.44/2.59  % Active clauses: 12
% 1.44/2.59  % Final active clauses: 12
% 1.44/2.59  % Input clauses: 12
% 1.44/2.59  % Initial clauses: 12
% 1.44/2.59  % 
% 1.44/2.59  % Memory used [KB]: 511
% 1.44/2.59  % Time elapsed: 0.001 s
% 1.44/2.59  % ------------------------------
% 1.44/2.59  ----  Runtime statistics ----
% 1.44/2.59  clauses created: 12
% 1.44/2.59  -----------------------------
% 1.44/2.59  % ------------------------------
% 1.44/2.59  % remaining time: 2984 next slice time: 50
% 1.44/2.59  lrs+10_4_cond=fast:nwc=1:nicw=on:sas=minisat:stl=60:sfr=on:ssfp=10000:ssfq=1.2:smm=off_47 on theBenchmark
% 1.44/2.59  Satisfiable!
% 1.44/2.59  % SZS status Satisfiable for theBenchmark
% 1.44/2.59  % # SZS output start Saturation.
% 1.44/2.59  cnf(u43,axiom,
% 1.44/2.59      intersection(X5,X5,X5)).
% 1.44/2.59  
% 1.44/2.59  cnf(member_of_intersection_is_member_of_set1,axiom,
% 1.44/2.59      ~intersection(X3,X4,X5) | member(X0,X3) | ~member(X0,X5)).
% 1.44/2.59  
% 1.44/2.59  cnf(member_of_intersection_is_member_of_set2,axiom,
% 1.44/2.59      ~intersection(X3,X4,X5) | member(X0,X4) | ~member(X0,X5)).
% 1.44/2.59  
% 1.44/2.59  cnf(member_of_both_is_member_of_intersection,axiom,
% 1.44/2.59      ~intersection(X3,X4,X5) | ~member(X0,X3) | member(X0,X5) | ~member(X0,X4)).
% 1.44/2.59  
% 1.44/2.59  cnf(u17,axiom,
% 1.44/2.59      equal_sets(X0,X0)).
% 1.44/2.59  
% 1.44/2.59  cnf(set_equal_sets_are_subsets1,axiom,
% 1.44/2.59      ~equal_sets(X1,X2) | subset(X1,X2)).
% 1.44/2.59  
% 1.44/2.59  cnf(set_equal_sets_are_subsets2,axiom,
% 1.44/2.59      ~equal_sets(X2,X1) | subset(X1,X2)).
% 1.44/2.59  
% 1.44/2.59  cnf(u14,axiom,
% 1.44/2.59      subset(X0,X0)).
% 1.44/2.59  
% 1.44/2.59  cnf(membership_in_subsets,axiom,
% 1.44/2.59      ~subset(X1,X2) | ~member(X0,X1) | member(X0,X2)).
% 1.44/2.59  
% 1.44/2.59  cnf(subsets_are_set_equal_sets,axiom,
% 1.44/2.59      ~subset(X4,X3) | ~subset(X3,X4) | equal_sets(X4,X3)).
% 1.44/2.59  
% 1.44/2.59  cnf(u21,axiom,
% 1.44/2.59      member(h(X0,X1,X1),X1) | intersection(X0,X1,X1)).
% 1.44/2.59  
% 1.44/2.59  cnf(u20,axiom,
% 1.44/2.59      member(h(X0,X1,X0),X0) | intersection(X0,X1,X0)).
% 1.44/2.59  
% 1.44/2.59  cnf(intersection_axiom2,axiom,
% 1.44/2.59      member(h(X3,X4,X5),X5) | member(h(X3,X4,X5),X4) | intersection(X3,X4,X5)).
% 1.44/2.59  
% 1.44/2.59  cnf(intersection_axiom1,axiom,
% 1.44/2.59      member(h(X3,X4,X5),X5) | member(h(X3,X4,X5),X3) | intersection(X3,X4,X5)).
% 1.44/2.59  
% 1.44/2.59  cnf(intersection_axiom1,axiom,
% 1.44/2.59      member(h(X3,X4,X5),X5) | member(h(X3,X4,X5),X3) | intersection(X3,X4,X5)).
% 1.44/2.59  
% 1.44/2.59  cnf(intersection_axiom2,axiom,
% 1.44/2.59      member(h(X3,X4,X5),X5) | member(h(X3,X4,X5),X4) | intersection(X3,X4,X5)).
% 1.44/2.59  
% 1.44/2.59  cnf(subsets_axiom1,axiom,
% 1.44/2.59      member(member_of_1_not_of_2(X1,X2),X1) | subset(X1,X2)).
% 1.44/2.59  
% 1.44/2.59  cnf(u35,axiom,
% 1.44/2.59      ~member(h(X12,X13,X13),X12) | intersection(X12,X13,X13)).
% 1.44/2.59  
% 1.44/2.59  cnf(u34,axiom,
% 1.44/2.59      ~member(h(X10,X11,X10),X11) | intersection(X10,X11,X10)).
% 1.44/2.59  
% 1.44/2.59  cnf(intersection_axiom3,axiom,
% 1.44/2.59      ~member(h(X3,X4,X5),X5) | ~member(h(X3,X4,X5),X3) | ~member(h(X3,X4,X5),X4) | intersection(X3,X4,X5)).
% 1.44/2.59  
% 1.44/2.59  cnf(subsets_axiom2,axiom,
% 1.44/2.59      ~member(member_of_1_not_of_2(X1,X2),X2) | subset(X1,X2)).
% 1.44/2.59  
% 1.44/2.59  % # SZS output end Saturation.
% 1.44/2.59  % ------------------------------
% 1.44/2.59  % Version: Vampire 4.0 (commit 2df2fce on 2015-07-07 02:33:56 +0100)
% 1.44/2.59  % Termination reason: Satisfiable
% 1.44/2.59  
% 1.44/2.59  % Active clauses: 19
% 1.44/2.59  % Passive clauses: 19
% 1.44/2.59  % Generated clauses: 63
% 1.44/2.59  % Final active clauses: 19
% 1.44/2.59  % Input clauses: 12
% 1.44/2.59  % Initial clauses: 12
% 1.44/2.59  % 
% 1.44/2.59  % Duplicate literals: 20
% 1.44/2.59  % Fw subsumption resolutions: 3
% 1.44/2.59  % 
% 1.44/2.59  % Simple tautologies: 8
% 1.44/2.59  % Forward subsumptions: 13
% 1.44/2.59  % 
% 1.44/2.59  % Binary resolution: 26
% 1.44/2.59  % Factoring: 2
% 1.44/2.59  % 
% 1.44/2.59  % SAT solver clauses: 1
% 1.44/2.59  % 
% 1.44/2.59  % Memory used [KB]: 639
% 1.44/2.59  % Time elapsed: 0.001 s
% 1.44/2.59  % ------------------------------
% 1.44/2.59  ----  Runtime statistics ----
% 1.44/2.59  clauses created: 63
% 1.44/2.59  clauses deleted: 37
% 1.44/2.59  -----------------------------
% 1.44/2.59  % ------------------------------
% 1.44/2.59  % Success in time 1.513 s
%------------------------------------------------------------------------------