TSTP Solution File: MGT031-1 by PyRes---1.3

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : PyRes---1.3
% Problem  : MGT031-1 : TPTP v8.1.0. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s

% Computer : n022.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  : 600s
% DateTime : Sun Jul 17 22:23:23 EDT 2022

% Result   : Satisfiable 0.36s 0.56s
% Output   : Saturation 0.36s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named input)

% Comments : 
%------------------------------------------------------------------------------
cnf(reflexivity,axiom,
    X2 = X2,
    eq_axiom ).

cnf(c8,plain,
    ( X44 != X46
    | X45 != X47
    | ~ greater_or_equal(X44,X45)
    | greater_or_equal(X46,X47) ),
    eq_axiom ).

cnf(mp_greater_or_equal_28,axiom,
    ( ~ greater(X4,X3)
    | greater_or_equal(X4,X3) ),
    input ).

cnf(prove_l13_32,negated_conjecture,
    environment(sk2),
    input ).

cnf(a13_31,plain,
    ( ~ environment(X33)
    | greater(appear(efficient_producers,e),appear(first_movers,X33)) ),
    input ).

cnf(c22,plain,
    greater(appear(efficient_producers,e),appear(first_movers,sk2)),
    inference(resolution,status(thm),[a13_31,prove_l13_32]) ).

cnf(mp_greater_transitivity_26,axiom,
    ( ~ greater(X18,X17)
    | ~ greater(X17,X19)
    | greater(X18,X19) ),
    input ).

cnf(prove_l13_34,negated_conjecture,
    appear(an_organisation,sk2) != appear(first_movers,sk2),
    input ).

cnf(symmetry,axiom,
    ( X10 != X9
    | X9 = X10 ),
    eq_axiom ).

cnf(mp_greater_or_equal_27,axiom,
    ( ~ greater_or_equal(X21,X20)
    | greater(X21,X20)
    | X21 = X20 ),
    input ).

cnf(mp_FM_not_precede_first_25,axiom,
    ( ~ environment(X30)
    | greater_or_equal(appear(first_movers,X30),appear(an_organisation,X30)) ),
    input ).

cnf(c20,plain,
    greater_or_equal(appear(first_movers,sk2),appear(an_organisation,sk2)),
    inference(resolution,status(thm),[mp_FM_not_precede_first_25,prove_l13_32]) ).

cnf(c21,plain,
    ( greater(appear(first_movers,sk2),appear(an_organisation,sk2))
    | appear(first_movers,sk2) = appear(an_organisation,sk2) ),
    inference(resolution,status(thm),[c20,mp_greater_or_equal_27]) ).

cnf(c64,plain,
    ( greater(appear(first_movers,sk2),appear(an_organisation,sk2))
    | appear(an_organisation,sk2) = appear(first_movers,sk2) ),
    inference(resolution,status(thm),[c21,symmetry]) ).

cnf(c80,plain,
    greater(appear(first_movers,sk2),appear(an_organisation,sk2)),
    inference(resolution,status(thm),[c64,prove_l13_34]) ).

cnf(c96,plain,
    ( ~ greater(X121,appear(first_movers,sk2))
    | greater(X121,appear(an_organisation,sk2)) ),
    inference(resolution,status(thm),[c80,mp_greater_transitivity_26]) ).

cnf(c99,plain,
    greater(appear(efficient_producers,e),appear(an_organisation,sk2)),
    inference(resolution,status(thm),[c96,c22]) ).

cnf(c102,plain,
    greater_or_equal(appear(efficient_producers,e),appear(an_organisation,sk2)),
    inference(resolution,status(thm),[c99,mp_greater_or_equal_28]) ).

cnf(c104,plain,
    ( appear(efficient_producers,e) != X131
    | appear(an_organisation,sk2) != X132
    | greater_or_equal(X131,X132) ),
    inference(resolution,status(thm),[c102,c8]) ).

cnf(c109,plain,
    ( appear(efficient_producers,e) != X133
    | greater_or_equal(X133,appear(an_organisation,sk2)) ),
    inference(resolution,status(thm),[c104,reflexivity]) ).

cnf(c5,plain,
    ( X34 != X36
    | X35 != X37
    | ~ greater(X34,X35)
    | greater(X36,X37) ),
    eq_axiom ).

cnf(c100,plain,
    ( appear(efficient_producers,e) != X128
    | appear(an_organisation,sk2) != X127
    | greater(X128,X127) ),
    inference(resolution,status(thm),[c99,c5]) ).

cnf(c107,plain,
    ( appear(efficient_producers,e) != X129
    | greater(X129,appear(an_organisation,sk2)) ),
    inference(resolution,status(thm),[c100,reflexivity]) ).

cnf(c95,plain,
    ( appear(first_movers,sk2) != X124
    | appear(an_organisation,sk2) != X123
    | greater(X124,X123) ),
    inference(resolution,status(thm),[c80,c5]) ).

cnf(c105,plain,
    ( appear(first_movers,sk2) != X126
    | greater(X126,appear(an_organisation,sk2)) ),
    inference(resolution,status(thm),[c95,reflexivity]) ).

cnf(c101,plain,
    ( ~ greater(X122,appear(efficient_producers,e))
    | greater(X122,appear(an_organisation,sk2)) ),
    inference(resolution,status(thm),[c99,mp_greater_transitivity_26]) ).

cnf(c24,plain,
    greater_or_equal(appear(efficient_producers,e),appear(first_movers,sk2)),
    inference(resolution,status(thm),[c22,mp_greater_or_equal_28]) ).

cnf(c32,plain,
    ( appear(efficient_producers,e) != X116
    | appear(first_movers,sk2) != X117
    | greater_or_equal(X116,X117) ),
    inference(resolution,status(thm),[c8,c24]) ).

cnf(c53,plain,
    ( appear(efficient_producers,e) != X118
    | greater_or_equal(X118,appear(first_movers,sk2)) ),
    inference(resolution,status(thm),[c32,reflexivity]) ).

cnf(c31,plain,
    ( appear(first_movers,sk2) != X113
    | appear(an_organisation,sk2) != X114
    | greater_or_equal(X113,X114) ),
    inference(resolution,status(thm),[c8,c20]) ).

cnf(c51,plain,
    ( appear(first_movers,sk2) != X115
    | greater_or_equal(X115,appear(an_organisation,sk2)) ),
    inference(resolution,status(thm),[c31,reflexivity]) ).

cnf(mp_positive_number_when_appear_20,axiom,
    ( ~ environment(X8)
    | greater(number_of_organizations(e,appear(an_organisation,X8)),zero) ),
    input ).

cnf(c10,plain,
    greater(number_of_organizations(e,appear(an_organisation,sk2)),zero),
    inference(resolution,status(thm),[mp_positive_number_when_appear_20,prove_l13_32]) ).

cnf(c18,plain,
    greater_or_equal(number_of_organizations(e,appear(an_organisation,sk2)),zero),
    inference(resolution,status(thm),[c10,mp_greater_or_equal_28]) ).

cnf(c29,plain,
    ( number_of_organizations(e,appear(an_organisation,sk2)) != X110
    | zero != X111
    | greater_or_equal(X110,X111) ),
    inference(resolution,status(thm),[c8,c18]) ).

cnf(c49,plain,
    ( zero != X112
    | greater_or_equal(number_of_organizations(e,appear(an_organisation,sk2)),X112) ),
    inference(resolution,status(thm),[c29,reflexivity]) ).

cnf(mp_number_mean_non_empty_21,axiom,
    ( ~ environment(X16)
    | ~ greater(number_of_organizations(X16,X15),zero)
    | subpopulation(sk1(X15,X16),X16,X15) ),
    input ).

cnf(c17,plain,
    ( ~ environment(e)
    | subpopulation(sk1(appear(an_organisation,sk2),e),e,appear(an_organisation,sk2)) ),
    inference(resolution,status(thm),[c10,mp_number_mean_non_empty_21]) ).

cnf(c27,plain,
    ( appear(efficient_producers,e) != X108
    | appear(first_movers,sk2) != X107
    | greater(X108,X107) ),
    inference(resolution,status(thm),[c5,c22]) ).

cnf(c47,plain,
    ( appear(efficient_producers,e) != X109
    | greater(X109,appear(first_movers,sk2)) ),
    inference(resolution,status(thm),[c27,reflexivity]) ).

cnf(c26,plain,
    ( number_of_organizations(e,appear(an_organisation,sk2)) != X105
    | zero != X104
    | greater(X105,X104) ),
    inference(resolution,status(thm),[c5,c10]) ).

cnf(c45,plain,
    ( zero != X106
    | greater(number_of_organizations(e,appear(an_organisation,sk2)),X106) ),
    inference(resolution,status(thm),[c26,reflexivity]) ).

cnf(mp_number_mean_non_empty_22,axiom,
    ( ~ environment(X29)
    | ~ greater(number_of_organizations(X29,X28),zero)
    | greater(cardinality_at_time(sk1(X28,X29),X28),zero) ),
    input ).

cnf(c15,plain,
    ( ~ environment(e)
    | greater(cardinality_at_time(sk1(appear(an_organisation,sk2),e),appear(an_organisation,sk2)),zero) ),
    inference(resolution,status(thm),[c10,mp_number_mean_non_empty_22]) ).

cnf(prove_l13_33,negated_conjecture,
    in_environment(sk2,appear(an_organisation,sk2)),
    input ).

cnf(c7,plain,
    ( X38 != X40
    | X39 != X41
    | ~ in_environment(X38,X39)
    | in_environment(X40,X41) ),
    eq_axiom ).

cnf(c28,plain,
    ( sk2 != X102
    | appear(an_organisation,sk2) != X101
    | in_environment(X102,X101) ),
    inference(resolution,status(thm),[c7,prove_l13_33]) ).

cnf(c43,plain,
    ( sk2 != X103
    | in_environment(X103,appear(an_organisation,sk2)) ),
    inference(resolution,status(thm),[c28,reflexivity]) ).

cnf(c23,plain,
    ( ~ greater(X100,appear(efficient_producers,e))
    | greater(X100,appear(first_movers,sk2)) ),
    inference(resolution,status(thm),[c22,mp_greater_transitivity_26]) ).

cnf(c16,plain,
    ( ~ greater(X99,number_of_organizations(e,appear(an_organisation,sk2)))
    | greater(X99,zero) ),
    inference(resolution,status(thm),[c10,mp_greater_transitivity_26]) ).

cnf(c6,plain,
    ( X96 != X95
    | X93 != X98
    | X94 != X97
    | ~ subpopulation(X96,X93,X94)
    | subpopulation(X95,X98,X97) ),
    eq_axiom ).

cnf(c3,plain,
    ( X84 != X86
    | X85 != X87
    | cardinality_at_time(X84,X85) = cardinality_at_time(X86,X87) ),
    eq_axiom ).

cnf(c41,plain,
    ( X89 != X90
    | cardinality_at_time(X89,X88) = cardinality_at_time(X90,X88) ),
    inference(resolution,status(thm),[c3,reflexivity]) ).

cnf(c2,plain,
    ( X75 != X77
    | X76 != X78
    | sk1(X75,X76) = sk1(X77,X78) ),
    eq_axiom ).

cnf(c39,plain,
    ( X81 != X79
    | sk1(X81,X80) = sk1(X79,X80) ),
    inference(resolution,status(thm),[c2,reflexivity]) ).

cnf(c1,plain,
    ( X66 != X68
    | X67 != X69
    | appear(X66,X67) = appear(X68,X69) ),
    eq_axiom ).

cnf(c37,plain,
    ( X72 != X71
    | appear(X72,X70) = appear(X71,X70) ),
    inference(resolution,status(thm),[c1,reflexivity]) ).

cnf(c0,plain,
    ( X54 != X56
    | X55 != X57
    | number_of_organizations(X54,X55) = number_of_organizations(X56,X57) ),
    eq_axiom ).

cnf(c35,plain,
    ( X62 != X63
    | number_of_organizations(X62,X61) = number_of_organizations(X63,X61) ),
    inference(resolution,status(thm),[c0,reflexivity]) ).

cnf(a9_30,plain,
    ( ~ environment(X59)
    | ~ subpopulation(X58,X59,X60)
    | ~ greater(cardinality_at_time(X58,X60),zero)
    | X58 = efficient_producers
    | X58 = first_movers ),
    input ).

cnf(mp_greater_or_equal_29,axiom,
    ( X6 != X5
    | greater_or_equal(X6,X5) ),
    input ).

cnf(c9,plain,
    greater_or_equal(X7,X7),
    inference(resolution,status(thm),[mp_greater_or_equal_29,reflexivity]) ).

cnf(c30,plain,
    ( X48 != X49
    | X48 != X50
    | greater_or_equal(X49,X50) ),
    inference(resolution,status(thm),[c8,c9]) ).

cnf(c33,plain,
    ( X51 != X52
    | greater_or_equal(X52,X51) ),
    inference(resolution,status(thm),[c30,reflexivity]) ).

cnf(mp_no_FM_before_appearance_24,axiom,
    ( ~ environment(X43)
    | ~ in_environment(X43,X42)
    | ~ greater(appear(first_movers,X43),X42)
    | ~ greater(cardinality_at_time(first_movers,X42),zero) ),
    input ).

cnf(mp_no_EP_before_appearance_23,axiom,
    ( ~ environment(X32)
    | ~ in_environment(X32,X31)
    | ~ greater(appear(efficient_producers,X32),X31)
    | ~ greater(cardinality_at_time(efficient_producers,X31),zero) ),
    input ).

cnf(transitivity,axiom,
    ( X24 != X23
    | X23 != X25
    | X24 = X25 ),
    eq_axiom ).

cnf(c4,plain,
    ( X12 != X13
    | ~ environment(X12)
    | environment(X13) ),
    eq_axiom ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : MGT031-1 : TPTP v8.1.0. Released v2.4.0.
% 0.07/0.13  % Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.13/0.34  % Computer : n022.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  : 600
% 0.13/0.34  % DateTime : Thu Jun  9 07:41:34 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.36/0.56  # Version:  1.3
% 0.36/0.56  # SZS status Satisfiable
% 0.36/0.56  # SZS output start Saturation
% See solution above
% 0.36/0.56  
% 0.36/0.56  # Initial clauses    : 27
% 0.36/0.56  # Processed clauses  : 69
% 0.36/0.56  # Factors computed   : 0
% 0.36/0.56  # Resolvents computed: 102
% 0.36/0.56  # Tautologies deleted: 2
% 0.36/0.56  # Forward subsumed   : 58
% 0.36/0.56  # Backward subsumed  : 3
% 0.36/0.56  # -------- CPU Time ---------
% 0.36/0.56  # User time          : 0.197 s
% 0.36/0.56  # System time        : 0.013 s
% 0.36/0.56  # Total time         : 0.210 s
%------------------------------------------------------------------------------