TSTP Solution File: SYN090-1.008 by Etableau---0.67

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Etableau---0.67
% Problem  : SYN090-1.008 : TPTP v8.1.0. Bugfixed v1.2.1.
% Transfm  : none
% Format   : tptp:raw
% Command  : etableau --auto --tsmdo --quicksat=10000 --tableau=1 --tableau-saturation=1 -s -p --tableau-cores=8 --cpu-limit=%d %s

% Computer : n027.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 : Thu Jul 21 06:08:06 EDT 2022

% Result   : Unsatisfiable 0.16s 0.40s
% Output   : CNFRefutation 0.16s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   17
%            Number of leaves      :   29
% Syntax   : Number of clauses     :   89 (  32 unt;   0 nHn;  89 RR)
%            Number of literals    :  196 (   0 equ; 110 neg)
%            Maximal clause size   :    3 (   2 avg)
%            Maximal term depth    :    0 (   0 avg)
%            Number of predicates  :   29 (  28 usr;  29 prp; 0-0 aty)
%            Number of functors    :    0 (   0 usr;   0 con; --- aty)
%            Number of variables   :    0 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(s3_type11_25,axiom,
    ( p_12
    | ~ p_13
    | ~ p_14 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',s3_type11_25) ).

cnf(t3_1,axiom,
    p_14,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t3_1) ).

cnf(s3_type11_27,axiom,
    ( p_13
    | ~ p_14
    | ~ p_15 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',s3_type11_27) ).

cnf(t3_2,axiom,
    p_15,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t3_2) ).

cnf(s3_type12_25,axiom,
    ( q_12
    | ~ p_13
    | ~ q_14 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',s3_type12_25) ).

cnf(t3_3,axiom,
    q_14,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t3_3) ).

cnf(s3_type11_23,axiom,
    ( p_11
    | ~ p_12
    | ~ p_13 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',s3_type11_23) ).

cnf(s3_type12_24,axiom,
    ( q_11
    | ~ q_12
    | ~ p_13 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',s3_type12_24) ).

cnf(s3_type12_21,axiom,
    ( q_10
    | ~ p_11
    | ~ q_12 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',s3_type12_21) ).

cnf(s3_type11_22,axiom,
    ( p_10
    | ~ q_11
    | ~ q_12 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',s3_type11_22) ).

cnf(s3_type11_20,axiom,
    ( p_9
    | ~ q_10
    | ~ q_11 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',s3_type11_20) ).

cnf(s3_type12_19,axiom,
    ( q_9
    | ~ p_10
    | ~ q_11 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',s3_type12_19) ).

cnf(s3_type12_17,axiom,
    ( q_8
    | ~ p_9
    | ~ q_10 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',s3_type12_17) ).

cnf(s3_type11_18,axiom,
    ( p_8
    | ~ q_9
    | ~ q_10 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',s3_type11_18) ).

cnf(s3_type11_16,axiom,
    ( p_7
    | ~ q_8
    | ~ q_9 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',s3_type11_16) ).

cnf(s3_type12_15,axiom,
    ( q_7
    | ~ p_8
    | ~ q_9 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',s3_type12_15) ).

cnf(s3_type12_13,axiom,
    ( q_6
    | ~ p_7
    | ~ q_8 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',s3_type12_13) ).

cnf(s3_type11_12,axiom,
    ( p_5
    | ~ q_6
    | ~ q_7 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',s3_type11_12) ).

cnf(s3_type12_12,axiom,
    ( q_5
    | ~ q_6
    | ~ p_7 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',s3_type12_12) ).

cnf(s3_type11_10,axiom,
    ( p_4
    | ~ q_5
    | ~ q_6 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',s3_type11_10) ).

cnf(s3_type12_9,axiom,
    ( q_4
    | ~ p_5
    | ~ q_6 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',s3_type12_9) ).

cnf(s3_type11_7,axiom,
    ( p_3
    | ~ p_4
    | ~ p_5 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',s3_type11_7) ).

cnf(s3_type12_8,axiom,
    ( q_3
    | ~ q_4
    | ~ p_5 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',s3_type12_8) ).

cnf(s3_type12_5,axiom,
    ( q_2
    | ~ p_3
    | ~ q_4 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',s3_type12_5) ).

cnf(s3_type11_6,axiom,
    ( p_2
    | ~ q_3
    | ~ q_4 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',s3_type11_6) ).

cnf(s3_type11_2,axiom,
    ( p_0
    | ~ q_1
    | ~ q_2 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',s3_type11_2) ).

cnf(s3_type12_3,axiom,
    ( q_1
    | ~ p_2
    | ~ q_3 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',s3_type12_3) ).

cnf(s3_type12_2,axiom,
    ( q_0
    | ~ q_1
    | ~ p_2 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',s3_type12_2) ).

cnf(s3_goal_1,negated_conjecture,
    ( ~ p_0
    | ~ q_0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',s3_goal_1) ).

cnf(c_0_29,axiom,
    ( p_12
    | ~ p_13
    | ~ p_14 ),
    s3_type11_25 ).

cnf(c_0_30,axiom,
    p_14,
    t3_1 ).

cnf(c_0_31,axiom,
    ( p_13
    | ~ p_14
    | ~ p_15 ),
    s3_type11_27 ).

cnf(c_0_32,axiom,
    p_15,
    t3_2 ).

cnf(c_0_33,axiom,
    ( q_12
    | ~ p_13
    | ~ q_14 ),
    s3_type12_25 ).

cnf(c_0_34,axiom,
    q_14,
    t3_3 ).

cnf(c_0_35,plain,
    ( p_12
    | ~ p_13 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_29,c_0_30])]) ).

cnf(c_0_36,plain,
    p_13,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_31,c_0_30]),c_0_32])]) ).

cnf(c_0_37,plain,
    ( q_12
    | ~ p_13 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_33,c_0_34])]) ).

cnf(c_0_38,axiom,
    ( p_11
    | ~ p_12
    | ~ p_13 ),
    s3_type11_23 ).

cnf(c_0_39,plain,
    p_12,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_35,c_0_36])]) ).

cnf(c_0_40,axiom,
    ( q_11
    | ~ q_12
    | ~ p_13 ),
    s3_type12_24 ).

cnf(c_0_41,plain,
    q_12,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_37,c_0_36])]) ).

cnf(c_0_42,axiom,
    ( q_10
    | ~ p_11
    | ~ q_12 ),
    s3_type12_21 ).

cnf(c_0_43,plain,
    p_11,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_38,c_0_36])]),c_0_39])]) ).

cnf(c_0_44,axiom,
    ( p_10
    | ~ q_11
    | ~ q_12 ),
    s3_type11_22 ).

cnf(c_0_45,plain,
    q_11,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_40,c_0_36])]),c_0_41])]) ).

cnf(c_0_46,axiom,
    ( p_9
    | ~ q_10
    | ~ q_11 ),
    s3_type11_20 ).

cnf(c_0_47,plain,
    q_10,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_42,c_0_41])]),c_0_43])]) ).

cnf(c_0_48,axiom,
    ( q_9
    | ~ p_10
    | ~ q_11 ),
    s3_type12_19 ).

cnf(c_0_49,plain,
    p_10,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_44,c_0_41])]),c_0_45])]) ).

cnf(c_0_50,axiom,
    ( q_8
    | ~ p_9
    | ~ q_10 ),
    s3_type12_17 ).

cnf(c_0_51,plain,
    p_9,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_46,c_0_45])]),c_0_47])]) ).

cnf(c_0_52,axiom,
    ( p_8
    | ~ q_9
    | ~ q_10 ),
    s3_type11_18 ).

cnf(c_0_53,plain,
    q_9,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_48,c_0_45])]),c_0_49])]) ).

cnf(c_0_54,axiom,
    ( p_7
    | ~ q_8
    | ~ q_9 ),
    s3_type11_16 ).

cnf(c_0_55,plain,
    q_8,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_50,c_0_47])]),c_0_51])]) ).

cnf(c_0_56,axiom,
    ( q_7
    | ~ p_8
    | ~ q_9 ),
    s3_type12_15 ).

cnf(c_0_57,plain,
    p_8,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_52,c_0_47])]),c_0_53])]) ).

cnf(c_0_58,axiom,
    ( q_6
    | ~ p_7
    | ~ q_8 ),
    s3_type12_13 ).

cnf(c_0_59,plain,
    p_7,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_54,c_0_53])]),c_0_55])]) ).

cnf(c_0_60,axiom,
    ( p_5
    | ~ q_6
    | ~ q_7 ),
    s3_type11_12 ).

cnf(c_0_61,plain,
    q_7,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_56,c_0_53])]),c_0_57])]) ).

cnf(c_0_62,axiom,
    ( q_5
    | ~ q_6
    | ~ p_7 ),
    s3_type12_12 ).

cnf(c_0_63,plain,
    q_6,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_58,c_0_55])]),c_0_59])]) ).

cnf(c_0_64,plain,
    ( p_5
    | ~ q_6 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_60,c_0_61])]) ).

cnf(c_0_65,axiom,
    ( p_4
    | ~ q_5
    | ~ q_6 ),
    s3_type11_10 ).

cnf(c_0_66,plain,
    q_5,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_62,c_0_59])]),c_0_63])]) ).

cnf(c_0_67,axiom,
    ( q_4
    | ~ p_5
    | ~ q_6 ),
    s3_type12_9 ).

cnf(c_0_68,plain,
    p_5,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_64,c_0_63])]) ).

cnf(c_0_69,axiom,
    ( p_3
    | ~ p_4
    | ~ p_5 ),
    s3_type11_7 ).

cnf(c_0_70,plain,
    p_4,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_65,c_0_63])]),c_0_66])]) ).

cnf(c_0_71,axiom,
    ( q_3
    | ~ q_4
    | ~ p_5 ),
    s3_type12_8 ).

cnf(c_0_72,plain,
    q_4,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_67,c_0_63])]),c_0_68])]) ).

cnf(c_0_73,axiom,
    ( q_2
    | ~ p_3
    | ~ q_4 ),
    s3_type12_5 ).

cnf(c_0_74,plain,
    p_3,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_69,c_0_68])]),c_0_70])]) ).

cnf(c_0_75,axiom,
    ( p_2
    | ~ q_3
    | ~ q_4 ),
    s3_type11_6 ).

cnf(c_0_76,plain,
    q_3,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_71,c_0_68])]),c_0_72])]) ).

cnf(c_0_77,axiom,
    ( p_0
    | ~ q_1
    | ~ q_2 ),
    s3_type11_2 ).

cnf(c_0_78,plain,
    q_2,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_73,c_0_72])]),c_0_74])]) ).

cnf(c_0_79,axiom,
    ( q_1
    | ~ p_2
    | ~ q_3 ),
    s3_type12_3 ).

cnf(c_0_80,plain,
    p_2,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_75,c_0_72])]),c_0_76])]) ).

cnf(c_0_81,plain,
    ( p_0
    | ~ q_1 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_77,c_0_78])]) ).

cnf(c_0_82,plain,
    q_1,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_79,c_0_76])]),c_0_80])]) ).

cnf(c_0_83,axiom,
    ( q_0
    | ~ q_1
    | ~ p_2 ),
    s3_type12_2 ).

cnf(c_0_84,negated_conjecture,
    ( ~ p_0
    | ~ q_0 ),
    s3_goal_1 ).

cnf(c_0_85,plain,
    p_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_81,c_0_82])]) ).

cnf(c_0_86,plain,
    ( q_0
    | ~ q_1 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_83,c_0_80])]) ).

cnf(c_0_87,negated_conjecture,
    ~ q_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_84,c_0_85])]) ).

cnf(c_0_88,plain,
    $false,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_86,c_0_82])]),c_0_87]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.14  % Problem  : SYN090-1.008 : TPTP v8.1.0. Bugfixed v1.2.1.
% 0.09/0.15  % Command  : etableau --auto --tsmdo --quicksat=10000 --tableau=1 --tableau-saturation=1 -s -p --tableau-cores=8 --cpu-limit=%d %s
% 0.16/0.37  % Computer : n027.cluster.edu
% 0.16/0.37  % Model    : x86_64 x86_64
% 0.16/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.37  % Memory   : 8042.1875MB
% 0.16/0.37  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.37  % CPULimit : 300
% 0.16/0.37  % WCLimit  : 600
% 0.16/0.37  % DateTime : Mon Jul 11 16:32:19 EDT 2022
% 0.16/0.37  % CPUTime  : 
% 0.16/0.40  # No SInE strategy applied
% 0.16/0.40  # Auto-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 0.16/0.40  # and selection function SelectComplexExceptUniqMaxHorn.
% 0.16/0.40  #
% 0.16/0.40  # Presaturation interreduction done
% 0.16/0.40  
% 0.16/0.40  # Proof found!
% 0.16/0.40  # SZS status Unsatisfiable
% 0.16/0.40  # SZS output start CNFRefutation
% See solution above
% 0.16/0.40  # Training examples: 0 positive, 0 negative
%------------------------------------------------------------------------------