%------------------------------------------------------------------------------
% File     : PyRes---1.3
% Problem  : PUZ025-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s

% Computer : n029.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 : Mon Jul 18 18:24:10 EDT 2022

% Result   : Unsatisfiable 0.48s 0.65s
% Output   : Refutation 0.48s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named input)

% Comments : 
%------------------------------------------------------------------------------
cnf(prove_there_is_an_answer,negated_conjecture,
    ~ answer(X2),
    input ).

cnf(ask_c_if_a_and_b_equal,plain,
    ask_1_if_2(c,equal_type(a,b)),
    input ).

cnf(liar_supports_lies,axiom,
    ( ~ ask_1_if_2(X39,X38)
    | ~ a_truth(liar(X39))
    | a_truth(X38)
    | answer(yes) ),
    input ).

cnf(truthteller_or_liar,axiom,
    ( a_truth(truthteller(X3))
    | a_truth(liar(X3)) ),
    input ).

cnf(truthteller_identifies_truths,axiom,
    ( ~ ask_1_if_2(X31,X30)
    | ~ a_truth(truthteller(X31))
    | ~ a_truth(X30)
    | answer(yes) ),
    input ).

cnf(c30,plain,
    ( ~ ask_1_if_2(X63,X62)
    | ~ a_truth(X62)
    | answer(yes)
    | a_truth(liar(X63)) ),
    inference(resolution,status(thm),[truthteller_identifies_truths,truthteller_or_liar]) ).

cnf(c105,plain,
    ( ~ a_truth(equal_type(a,b))
    | answer(yes)
    | a_truth(liar(c)) ),
    inference(resolution,status(thm),[c30,ask_c_if_a_and_b_equal]) ).

cnf(truthteller_denies_lies,axiom,
    ( ~ ask_1_if_2(X34,X33)
    | ~ a_truth(truthteller(X34))
    | a_truth(X33)
    | answer(no) ),
    input ).

cnf(c31,plain,
    ( ~ ask_1_if_2(X65,X64)
    | a_truth(X64)
    | answer(no)
    | a_truth(liar(X65)) ),
    inference(resolution,status(thm),[truthteller_denies_lies,truthteller_or_liar]) ).

cnf(c106,plain,
    ( a_truth(equal_type(a,b))
    | answer(no)
    | a_truth(liar(c)) ),
    inference(resolution,status(thm),[c31,ask_c_if_a_and_b_equal]) ).

cnf(c231,plain,
    ( answer(no)
    | a_truth(liar(c))
    | answer(yes) ),
    inference(resolution,status(thm),[c106,c105]) ).

cnf(c240,plain,
    ( a_truth(liar(c))
    | answer(yes) ),
    inference(resolution,status(thm),[c231,prove_there_is_an_answer]) ).

cnf(c249,plain,
    ( answer(yes)
    | ~ ask_1_if_2(c,X99)
    | a_truth(X99) ),
    inference(resolution,status(thm),[c240,liar_supports_lies]) ).

cnf(c270,plain,
    ( answer(yes)
    | a_truth(equal_type(a,b)) ),
    inference(resolution,status(thm),[c249,ask_c_if_a_and_b_equal]) ).

cnf(c321,plain,
    a_truth(equal_type(a,b)),
    inference(resolution,status(thm),[c270,prove_there_is_an_answer]) ).

cnf(liar_denies_truths,axiom,
    ( ~ ask_1_if_2(X36,X35)
    | ~ a_truth(liar(X36))
    | ~ a_truth(X35)
    | answer(no) ),
    input ).

cnf(c256,plain,
    a_truth(liar(c)),
    inference(resolution,status(thm),[c240,prove_there_is_an_answer]) ).

cnf(c260,plain,
    ( ~ ask_1_if_2(c,X102)
    | ~ a_truth(X102)
    | answer(no) ),
    inference(resolution,status(thm),[c256,liar_denies_truths]) ).

cnf(c271,plain,
    ( ~ a_truth(equal_type(a,b))
    | answer(no) ),
    inference(resolution,status(thm),[c260,ask_c_if_a_and_b_equal]) ).

cnf(c335,plain,
    answer(no),
    inference(resolution,status(thm),[c271,c321]) ).

cnf(c336,plain,
    $false,
    inference(resolution,status(thm),[c335,prove_there_is_an_answer]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11  % Problem  : PUZ025-1 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.12  % Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.12/0.33  % Computer : n029.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 600
% 0.12/0.33  % DateTime : Sat May 28 23:11:58 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.48/0.65  # Version:  1.3
% 0.48/0.65  # SZS status Unsatisfiable
% 0.48/0.65  # SZS output start CNFRefutation
% See solution above
% 0.48/0.65  
% 0.48/0.65  # Initial clauses    : 24
% 0.48/0.65  # Processed clauses  : 82
% 0.48/0.65  # Factors computed   : 4
% 0.48/0.65  # Resolvents computed: 333
% 0.48/0.65  # Tautologies deleted: 10
% 0.48/0.65  # Forward subsumed   : 35
% 0.48/0.65  # Backward subsumed  : 28
% 0.48/0.65  # -------- CPU Time ---------
% 0.48/0.65  # User time          : 0.306 s
% 0.48/0.65  # System time        : 0.012 s
% 0.48/0.65  # Total time         : 0.318 s
%------------------------------------------------------------------------------