TMTP Model File: SET779-1.002-Sat

View Problem - Process Model

%------------------------------------------------------------------------------
% File       : E---1.9-FNT
% Problem    : SET779-1 : TPTP v6.2.0. Released v2.5.0.
% Transform  : none
% Format     : tptp:raw
% Command    : eprover --satauto-schedule --tstp-format -s --proof-object --memory-limit=2048 --cpu-limit=%d %s

% Computer   : n162.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 2.6.32-504.16.2.el6.x86_64
% CPULimit   : 300s
% DateTime   : Mon May 18 09:56:03 EDT 2015

% Result     : Satisfiable 0.03s
% Output     : Saturation 0.03s
% Verified   : 
% Statistics : Number of clauses        :   30 (  42 expanded)
%              Number of leaves         :   12 (  21 expanded)
%              Depth                    :    3
%              Number of atoms          :   78 ( 111 expanded)
%              Number of equality atoms :    0 (   0 expanded)
%              Maximal clause size      :    4 (   3 average)
%              Maximal term depth       :    2 (   1 average)

% Comments   : 
%------------------------------------------------------------------------------
cnf(c_0_0,axiom,
    ( member(h(X1,X2,X3),X3)
    | intersection(X1,X2,X3)
    | member(h(X1,X2,X3),X2) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SET001-2.ax',intersection_axiom2)).

cnf(c_0_1,axiom,
    ( member(h(X1,X2,X3),X3)
    | intersection(X1,X2,X3)
    | member(h(X1,X2,X3),X1) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SET001-2.ax',intersection_axiom1)).

cnf(c_0_2,axiom,
    ( intersection(X1,X2,X3)
    | ~ member(h(X1,X2,X3),X3)
    | ~ member(h(X1,X2,X3),X2)
    | ~ member(h(X1,X2,X3),X1) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SET001-2.ax',intersection_axiom3)).

cnf(c_0_3,axiom,
    ( member(X4,X3)
    | ~ intersection(X1,X2,X3)
    | ~ member(X4,X2)
    | ~ member(X4,X1) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SET001-2.ax',member_of_both_is_member_of_intersection)).

cnf(c_0_4,axiom,
    ( member(X4,X1)
    | ~ intersection(X1,X2,X3)
    | ~ member(X4,X3) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SET001-2.ax',member_of_intersection_is_member_of_set1)).

cnf(c_0_5,axiom,
    ( member(X4,X2)
    | ~ intersection(X1,X2,X3)
    | ~ member(X4,X3) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SET001-2.ax',member_of_intersection_is_member_of_set2)).

cnf(c_0_6,axiom,
    ( member(X1,X3)
    | ~ member(X1,X2)
    | ~ subset(X2,X3) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SET001-0.ax',membership_in_subsets)).

cnf(c_0_7,axiom,
    ( subset(X1,X2)
    | member(member_of_1_not_of_2(X1,X2),X1) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SET001-0.ax',subsets_axiom1)).

cnf(c_0_8,axiom,
    ( equal_sets(X2,X1)
    | ~ subset(X1,X2)
    | ~ subset(X2,X1) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SET001-0.ax',subsets_are_set_equal_sets)).

cnf(c_0_9,axiom,
    ( subset(X1,X2)
    | ~ member(member_of_1_not_of_2(X1,X2),X2) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SET001-0.ax',subsets_axiom2)).

cnf(c_0_10,axiom,
    ( subset(X1,X2)
    | ~ equal_sets(X1,X2) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SET001-0.ax',set_equal_sets_are_subsets1)).

cnf(c_0_11,axiom,
    ( subset(X2,X1)
    | ~ equal_sets(X1,X2) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SET001-0.ax',set_equal_sets_are_subsets2)).

cnf(c_0_12,plain,
    ( intersection(X1,X2,X2)
    | member(h(X1,X2,X2),X2) ),
    inference(ef,[status(thm)],[c_0_0]),
    [final]).

cnf(c_0_13,plain,
    ( intersection(X1,X2,X1)
    | member(h(X1,X2,X1),X1) ),
    inference(ef,[status(thm)],[c_0_1]),
    [final]).

cnf(c_0_14,plain,
    ( intersection(X1,X2,X2)
    | ~ member(h(X1,X2,X2),X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_2,c_0_12]),c_0_12]),
    [final]).

cnf(c_0_15,plain,
    ( intersection(X1,X2,X1)
    | ~ member(h(X1,X2,X1),X2) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_2,c_0_13]),c_0_13]),
    [final]).

cnf(c_0_16,plain,
    ( intersection(X1,X2,X3)
    | member(h(X1,X2,X3),X3)
    | member(h(X1,X2,X3),X1) ),
    c_0_1,
    [final]).

cnf(c_0_17,plain,
    ( intersection(X1,X2,X3)
    | member(h(X1,X2,X3),X3)
    | member(h(X1,X2,X3),X2) ),
    c_0_0,
    [final]).

cnf(c_0_18,plain,
    ( intersection(X1,X2,X3)
    | ~ member(h(X1,X2,X3),X3)
    | ~ member(h(X1,X2,X3),X2)
    | ~ member(h(X1,X2,X3),X1) ),
    c_0_2,
    [final]).

cnf(c_0_19,plain,
    ( member(X1,X2)
    | ~ intersection(X3,X4,X2)
    | ~ member(X1,X4)
    | ~ member(X1,X3) ),
    c_0_3,
    [final]).

cnf(c_0_20,plain,
    ( member(X1,X2)
    | ~ intersection(X2,X3,X4)
    | ~ member(X1,X4) ),
    c_0_4,
    [final]).

cnf(c_0_21,plain,
    ( member(X1,X2)
    | ~ intersection(X3,X2,X4)
    | ~ member(X1,X4) ),
    c_0_5,
    [final]).

cnf(c_0_22,plain,
    ( member(X1,X2)
    | ~ subset(X3,X2)
    | ~ member(X1,X3) ),
    c_0_6,
    [final]).

cnf(c_0_23,plain,
    ( subset(X1,X2)
    | member(member_of_1_not_of_2(X1,X2),X1) ),
    c_0_7,
    [final]).

cnf(c_0_24,plain,
    ( equal_sets(X1,X2)
    | ~ subset(X1,X2)
    | ~ subset(X2,X1) ),
    c_0_8,
    [final]).

cnf(c_0_25,plain,
    ( subset(X1,X2)
    | ~ member(member_of_1_not_of_2(X1,X2),X2) ),
    c_0_9,
    [final]).

cnf(c_0_26,plain,
    ( subset(X1,X2)
    | ~ equal_sets(X1,X2) ),
    c_0_10,
    [final]).

cnf(c_0_27,plain,
    ( subset(X1,X2)
    | ~ equal_sets(X2,X1) ),
    c_0_11,
    [final]).

cnf(c_0_28,plain,
    ( intersection(X1,X1,X1) ),
    inference(spm,[status(thm)],[c_0_14,c_0_12]),
    [final]).

cnf(c_0_29,plain,
    ( subset(X1,X1) ),
    inference(spm,[status(thm)],[c_0_9,c_0_7]),
    [final]).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem    : SET779-1 : TPTP v6.2.0. Released v2.5.0.
% 0.00/0.03  % Command    : eprover --satauto-schedule --tstp-format -s --proof-object --memory-limit=2048 --cpu-limit=%d %s
% 0.03/1.07  % Computer   : n162.star.cs.uiowa.edu
% 0.03/1.07  % Model      : x86_64 x86_64
% 0.03/1.07  % CPU        : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
% 0.03/1.07  % Memory     : 32286.75MB
% 0.03/1.07  % OS         : Linux 2.6.32-504.16.2.el6.x86_64
% 0.03/1.07  % CPULimit   : 300
% 0.03/1.07  % DateTime   : Sun May 17 10:46:47 CDT 2015
% 0.03/1.07  % CPUTime    : 
% 0.03/1.07  # Trying AutoSched0 for 151 seconds
% 0.03/1.08  # AutoSched0-Mode selected heuristic G_E___207_C18_F1_AE_CS_SP_PI_PS_S3S
% 0.03/1.08  # and selection function SelectNewComplexAHPExceptUniqMaxHorn.
% 0.03/1.08  #
% 0.03/1.08  # Presaturation interreduction done
% 0.03/1.08  
% 0.03/1.08  # No proof found!
% 0.03/1.08  # SZS status Satisfiable
% 0.03/1.08  # SZS output start Saturation.
% 0.03/1.08  cnf(c_0_0,axiom,(member(h(X1,X2,X3),X3)|intersection(X1,X2,X3)|member(h(X1,X2,X3),X2)), file('/export/starexec/sandbox2/benchmark/Axioms/SET001-2.ax', intersection_axiom2)).
% 0.03/1.08  cnf(c_0_1,axiom,(member(h(X1,X2,X3),X3)|intersection(X1,X2,X3)|member(h(X1,X2,X3),X1)), file('/export/starexec/sandbox2/benchmark/Axioms/SET001-2.ax', intersection_axiom1)).
% 0.03/1.08  cnf(c_0_2,axiom,(intersection(X1,X2,X3)|~member(h(X1,X2,X3),X3)|~member(h(X1,X2,X3),X2)|~member(h(X1,X2,X3),X1)), file('/export/starexec/sandbox2/benchmark/Axioms/SET001-2.ax', intersection_axiom3)).
% 0.03/1.08  cnf(c_0_3,axiom,(member(X4,X3)|~intersection(X1,X2,X3)|~member(X4,X2)|~member(X4,X1)), file('/export/starexec/sandbox2/benchmark/Axioms/SET001-2.ax', member_of_both_is_member_of_intersection)).
% 0.03/1.08  cnf(c_0_4,axiom,(member(X4,X1)|~intersection(X1,X2,X3)|~member(X4,X3)), file('/export/starexec/sandbox2/benchmark/Axioms/SET001-2.ax', member_of_intersection_is_member_of_set1)).
% 0.03/1.08  cnf(c_0_5,axiom,(member(X4,X2)|~intersection(X1,X2,X3)|~member(X4,X3)), file('/export/starexec/sandbox2/benchmark/Axioms/SET001-2.ax', member_of_intersection_is_member_of_set2)).
% 0.03/1.08  cnf(c_0_6,axiom,(member(X1,X3)|~member(X1,X2)|~subset(X2,X3)), file('/export/starexec/sandbox2/benchmark/Axioms/SET001-0.ax', membership_in_subsets)).
% 0.03/1.08  cnf(c_0_7,axiom,(subset(X1,X2)|member(member_of_1_not_of_2(X1,X2),X1)), file('/export/starexec/sandbox2/benchmark/Axioms/SET001-0.ax', subsets_axiom1)).
% 0.03/1.08  cnf(c_0_8,axiom,(equal_sets(X2,X1)|~subset(X1,X2)|~subset(X2,X1)), file('/export/starexec/sandbox2/benchmark/Axioms/SET001-0.ax', subsets_are_set_equal_sets)).
% 0.03/1.08  cnf(c_0_9,axiom,(subset(X1,X2)|~member(member_of_1_not_of_2(X1,X2),X2)), file('/export/starexec/sandbox2/benchmark/Axioms/SET001-0.ax', subsets_axiom2)).
% 0.03/1.08  cnf(c_0_10,axiom,(subset(X1,X2)|~equal_sets(X1,X2)), file('/export/starexec/sandbox2/benchmark/Axioms/SET001-0.ax', set_equal_sets_are_subsets1)).
% 0.03/1.08  cnf(c_0_11,axiom,(subset(X2,X1)|~equal_sets(X1,X2)), file('/export/starexec/sandbox2/benchmark/Axioms/SET001-0.ax', set_equal_sets_are_subsets2)).
% 0.03/1.08  cnf(c_0_12,plain,(intersection(X1,X2,X2)|member(h(X1,X2,X2),X2)), inference(ef,[status(thm)],[c_0_0]), ['final']).
% 0.03/1.08  cnf(c_0_13,plain,(intersection(X1,X2,X1)|member(h(X1,X2,X1),X1)), inference(ef,[status(thm)],[c_0_1]), ['final']).
% 0.03/1.08  cnf(c_0_14,plain,(intersection(X1,X2,X2)|~member(h(X1,X2,X2),X1)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_2, c_0_12]), c_0_12]), ['final']).
% 0.03/1.08  cnf(c_0_15,plain,(intersection(X1,X2,X1)|~member(h(X1,X2,X1),X2)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_2, c_0_13]), c_0_13]), ['final']).
% 0.03/1.08  cnf(c_0_16,plain,(intersection(X1,X2,X3)|member(h(X1,X2,X3),X3)|member(h(X1,X2,X3),X1)), c_0_1, ['final']).
% 0.03/1.08  cnf(c_0_17,plain,(intersection(X1,X2,X3)|member(h(X1,X2,X3),X3)|member(h(X1,X2,X3),X2)), c_0_0, ['final']).
% 0.03/1.08  cnf(c_0_18,plain,(intersection(X1,X2,X3)|~member(h(X1,X2,X3),X3)|~member(h(X1,X2,X3),X2)|~member(h(X1,X2,X3),X1)), c_0_2, ['final']).
% 0.03/1.08  cnf(c_0_19,plain,(member(X1,X2)|~intersection(X3,X4,X2)|~member(X1,X4)|~member(X1,X3)), c_0_3, ['final']).
% 0.03/1.08  cnf(c_0_20,plain,(member(X1,X2)|~intersection(X2,X3,X4)|~member(X1,X4)), c_0_4, ['final']).
% 0.03/1.08  cnf(c_0_21,plain,(member(X1,X2)|~intersection(X3,X2,X4)|~member(X1,X4)), c_0_5, ['final']).
% 0.03/1.08  cnf(c_0_22,plain,(member(X1,X2)|~subset(X3,X2)|~member(X1,X3)), c_0_6, ['final']).
% 0.03/1.08  cnf(c_0_23,plain,(subset(X1,X2)|member(member_of_1_not_of_2(X1,X2),X1)), c_0_7, ['final']).
% 0.03/1.08  cnf(c_0_24,plain,(equal_sets(X1,X2)|~subset(X1,X2)|~subset(X2,X1)), c_0_8, ['final']).
% 0.03/1.08  cnf(c_0_25,plain,(subset(X1,X2)|~member(member_of_1_not_of_2(X1,X2),X2)), c_0_9, ['final']).
% 0.03/1.08  cnf(c_0_26,plain,(subset(X1,X2)|~equal_sets(X1,X2)), c_0_10, ['final']).
% 0.03/1.08  cnf(c_0_27,plain,(subset(X1,X2)|~equal_sets(X2,X1)), c_0_11, ['final']).
% 0.03/1.08  cnf(c_0_28,plain,(intersection(X1,X1,X1)), inference(spm,[status(thm)],[c_0_14, c_0_12]), ['final']).
% 0.03/1.08  cnf(c_0_29,plain,(subset(X1,X1)), inference(spm,[status(thm)],[c_0_9, c_0_7]), ['final']).
% 0.03/1.08  # SZS output end Saturation.
%------------------------------------------------------------------------------