TSTP Solution File: SYN005-1.010 by PyRes---1.3

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : PyRes---1.3
% Problem  : SYN005-1.010 : TPTP v8.1.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s

% Computer : n024.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 11:24:22 EDT 2022

% Result   : Unsatisfiable 0.19s 0.53s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named input)

% Comments : 
%------------------------------------------------------------------------------
cnf(p_1,negated_conjecture,
    p_1(a,a),
    input ).

cnf(p_2,negated_conjecture,
    p_2(a,a),
    input ).

cnf(p_3,negated_conjecture,
    p_3(a,a),
    input ).

cnf(p_4,negated_conjecture,
    p_4(a,a),
    input ).

cnf(p_5,negated_conjecture,
    p_5(a,a),
    input ).

cnf(p_6,negated_conjecture,
    p_6(a,a),
    input ).

cnf(p_7,negated_conjecture,
    p_7(a,a),
    input ).

cnf(p_8,negated_conjecture,
    p_8(a,a),
    input ).

cnf(p_9,negated_conjecture,
    p_9(a,a),
    input ).

cnf(disjunction,negated_conjecture,
    ( ~ p_1(X7,X6)
    | ~ p_2(X6,X8)
    | ~ p_3(X8,X10)
    | ~ p_4(X10,X3)
    | ~ p_5(X3,X11)
    | ~ p_6(X11,X4)
    | ~ p_7(X4,X9)
    | ~ p_8(X9,X5)
    | ~ p_9(X5,X2)
    | ~ p_10(X2,X7) ),
    input ).

cnf(p_10,negated_conjecture,
    p_10(a,a),
    input ).

cnf(c0,plain,
    ( ~ p_1(a,X19)
    | ~ p_2(X19,X17)
    | ~ p_3(X17,X12)
    | ~ p_4(X12,X16)
    | ~ p_5(X16,X15)
    | ~ p_6(X15,X18)
    | ~ p_7(X18,X13)
    | ~ p_8(X13,X14)
    | ~ p_9(X14,a) ),
    inference(resolution,status(thm),[p_10,disjunction]) ).

cnf(c1,plain,
    ( ~ p_1(a,X21)
    | ~ p_2(X21,X20)
    | ~ p_3(X20,X25)
    | ~ p_4(X25,X26)
    | ~ p_5(X26,X24)
    | ~ p_6(X24,X22)
    | ~ p_7(X22,X23)
    | ~ p_8(X23,a) ),
    inference(resolution,status(thm),[c0,p_9]) ).

cnf(c2,plain,
    ( ~ p_1(a,X28)
    | ~ p_2(X28,X30)
    | ~ p_3(X30,X32)
    | ~ p_4(X32,X29)
    | ~ p_5(X29,X31)
    | ~ p_6(X31,X27)
    | ~ p_7(X27,a) ),
    inference(resolution,status(thm),[c1,p_8]) ).

cnf(c3,plain,
    ( ~ p_1(a,X33)
    | ~ p_2(X33,X37)
    | ~ p_3(X37,X35)
    | ~ p_4(X35,X34)
    | ~ p_5(X34,X36)
    | ~ p_6(X36,a) ),
    inference(resolution,status(thm),[c2,p_7]) ).

cnf(c4,plain,
    ( ~ p_1(a,X41)
    | ~ p_2(X41,X40)
    | ~ p_3(X40,X38)
    | ~ p_4(X38,X39)
    | ~ p_5(X39,a) ),
    inference(resolution,status(thm),[c3,p_6]) ).

cnf(c5,plain,
    ( ~ p_1(a,X44)
    | ~ p_2(X44,X43)
    | ~ p_3(X43,X42)
    | ~ p_4(X42,a) ),
    inference(resolution,status(thm),[c4,p_5]) ).

cnf(c6,plain,
    ( ~ p_1(a,X46)
    | ~ p_2(X46,X45)
    | ~ p_3(X45,a) ),
    inference(resolution,status(thm),[c5,p_4]) ).

cnf(c7,plain,
    ( ~ p_1(a,X47)
    | ~ p_2(X47,a) ),
    inference(resolution,status(thm),[c6,p_3]) ).

cnf(c8,plain,
    ~ p_1(a,a),
    inference(resolution,status(thm),[c7,p_2]) ).

cnf(c9,plain,
    $false,
    inference(resolution,status(thm),[c8,p_1]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : SYN005-1.010 : TPTP v8.1.0. Released v1.0.0.
% 0.11/0.13  % Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.13/0.34  % Computer : n024.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 : Tue Jul 12 04:45:13 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.19/0.53  # Version:  1.3
% 0.19/0.53  # SZS status Unsatisfiable
% 0.19/0.53  # SZS output start CNFRefutation
% See solution above
% 0.19/0.53  
% 0.19/0.53  # Initial clauses    : 11
% 0.19/0.53  # Processed clauses  : 20
% 0.19/0.53  # Factors computed   : 0
% 0.19/0.53  # Resolvents computed: 10
% 0.19/0.53  # Tautologies deleted: 0
% 0.19/0.53  # Forward subsumed   : 0
% 0.19/0.53  # Backward subsumed  : 0
% 0.19/0.53  # -------- CPU Time ---------
% 0.19/0.53  # User time          : 0.172 s
% 0.19/0.53  # System time        : 0.009 s
% 0.19/0.53  # Total time         : 0.181 s
%------------------------------------------------------------------------------