%------------------------------------------------------------------------------
% File     : CSE_E---1.5
% Problem  : PUZ027-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s

% Computer : n006.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  : 300s
% DateTime : Thu Aug 31 13:12:11 EDT 2023

% Result   : Unsatisfiable 0.21s 0.56s
% Output   : CNFRefutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :   30
% Syntax   : Number of formulae    :   59 (   9 unt;  19 typ;   0 def)
%            Number of atoms       :   91 (   0 equ)
%            Maximal formula atoms :    3 (   2 avg)
%            Number of connectives :  111 (  60   ~;  51   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   11 (   8   >;   3   *;   0   +;   0  <<)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-1 aty)
%            Number of functors    :   17 (  17 usr;  11 con; 0-2 aty)
%            Number of variables   :    4 (   2 sgn;   0   !;   0   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
tff(decl_22,type,
    truthteller: $i > $i ).

tff(decl_23,type,
    a_truth: $i > $o ).

tff(decl_24,type,
    liar: $i > $i ).

tff(decl_25,type,
    normal: $i > $i ).

tff(decl_26,type,
    says: ( $i * $i ) > $i ).

tff(decl_27,type,
    not_lower: ( $i * $i ) > $i ).

tff(decl_28,type,
    lower: ( $i * $i ) > $i ).

tff(decl_29,type,
    a: $i ).

tff(decl_30,type,
    b: $i ).

tff(decl_31,type,
    a_and_b_truthteller: $i ).

tff(decl_32,type,
    answer: $i > $o ).

tff(decl_33,type,
    a_truthteller_b_normal: $i ).

tff(decl_34,type,
    a_truthteller_b_liar: $i ).

tff(decl_35,type,
    a_normal_b_truthteller: $i ).

tff(decl_36,type,
    a_and_b_normal: $i ).

tff(decl_37,type,
    a_normal_b_liar: $i ).

tff(decl_38,type,
    a_liar_b_truthteller: $i ).

tff(decl_39,type,
    a_liar_b_normal: $i ).

tff(decl_40,type,
    a_and_b_liar: $i ).

cnf(a_and_b_normal,hypothesis,
    ( answer(a_and_b_normal)
    | ~ a_truth(normal(a))
    | ~ a_truth(normal(b)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_and_b_normal) ).

cnf(prove_there_is_an_answer,negated_conjecture,
    ~ answer(X1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_there_is_an_answer) ).

cnf(a_liar_b_normal,hypothesis,
    ( answer(a_liar_b_normal)
    | ~ a_truth(liar(a))
    | ~ a_truth(normal(b)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_liar_b_normal) ).

cnf(a_truthteller_b_normal,hypothesis,
    ( answer(a_truthteller_b_normal)
    | ~ a_truth(truthteller(a))
    | ~ a_truth(normal(b)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_truthteller_b_normal) ).

cnf(person_is_one_type,axiom,
    ( a_truth(truthteller(X1))
    | a_truth(liar(X1))
    | a_truth(normal(X1)) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/PUZ003-0.ax',person_is_one_type) ).

cnf(a_normal_b_liar,hypothesis,
    ( answer(a_normal_b_liar)
    | ~ a_truth(normal(a))
    | ~ a_truth(liar(b)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_normal_b_liar) ).

cnf(a_normal_b_truthteller,hypothesis,
    ( answer(a_normal_b_truthteller)
    | ~ a_truth(normal(a))
    | ~ a_truth(truthteller(b)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_normal_b_truthteller) ).

cnf(a_and_b_liar,hypothesis,
    ( answer(a_and_b_liar)
    | ~ a_truth(liar(a))
    | ~ a_truth(liar(b)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_and_b_liar) ).

cnf(a_truthteller_b_liar,hypothesis,
    ( answer(a_truthteller_b_liar)
    | ~ a_truth(truthteller(a))
    | ~ a_truth(liar(b)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_truthteller_b_liar) ).

cnf(a_liar_b_truthteller,hypothesis,
    ( answer(a_liar_b_truthteller)
    | ~ a_truth(liar(a))
    | ~ a_truth(truthteller(b)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_liar_b_truthteller) ).

cnf(a_and_b_truthteller,hypothesis,
    ( answer(a_and_b_truthteller)
    | ~ a_truth(truthteller(a))
    | ~ a_truth(truthteller(b)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_and_b_truthteller) ).

cnf(c_0_11,hypothesis,
    ( answer(a_and_b_normal)
    | ~ a_truth(normal(a))
    | ~ a_truth(normal(b)) ),
    a_and_b_normal ).

cnf(c_0_12,negated_conjecture,
    ~ answer(X1),
    prove_there_is_an_answer ).

cnf(c_0_13,hypothesis,
    ( answer(a_liar_b_normal)
    | ~ a_truth(liar(a))
    | ~ a_truth(normal(b)) ),
    a_liar_b_normal ).

cnf(c_0_14,hypothesis,
    ( answer(a_truthteller_b_normal)
    | ~ a_truth(truthteller(a))
    | ~ a_truth(normal(b)) ),
    a_truthteller_b_normal ).

cnf(c_0_15,hypothesis,
    ( ~ a_truth(normal(a))
    | ~ a_truth(normal(b)) ),
    inference(sr,[status(thm)],[c_0_11,c_0_12]) ).

cnf(c_0_16,axiom,
    ( a_truth(truthteller(X1))
    | a_truth(liar(X1))
    | a_truth(normal(X1)) ),
    person_is_one_type ).

cnf(c_0_17,hypothesis,
    ( ~ a_truth(liar(a))
    | ~ a_truth(normal(b)) ),
    inference(sr,[status(thm)],[c_0_13,c_0_12]) ).

cnf(c_0_18,hypothesis,
    ( ~ a_truth(truthteller(a))
    | ~ a_truth(normal(b)) ),
    inference(sr,[status(thm)],[c_0_14,c_0_12]) ).

cnf(c_0_19,hypothesis,
    ( answer(a_normal_b_liar)
    | ~ a_truth(normal(a))
    | ~ a_truth(liar(b)) ),
    a_normal_b_liar ).

cnf(c_0_20,hypothesis,
    ~ a_truth(normal(b)),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_16]),c_0_17]),c_0_18]) ).

cnf(c_0_21,hypothesis,
    ( answer(a_normal_b_truthteller)
    | ~ a_truth(normal(a))
    | ~ a_truth(truthteller(b)) ),
    a_normal_b_truthteller ).

cnf(c_0_22,hypothesis,
    ( ~ a_truth(liar(b))
    | ~ a_truth(normal(a)) ),
    inference(sr,[status(thm)],[c_0_19,c_0_12]) ).

cnf(c_0_23,hypothesis,
    ( a_truth(liar(b))
    | a_truth(truthteller(b)) ),
    inference(spm,[status(thm)],[c_0_20,c_0_16]) ).

cnf(c_0_24,hypothesis,
    ( ~ a_truth(truthteller(b))
    | ~ a_truth(normal(a)) ),
    inference(sr,[status(thm)],[c_0_21,c_0_12]) ).

cnf(c_0_25,hypothesis,
    ( answer(a_and_b_liar)
    | ~ a_truth(liar(a))
    | ~ a_truth(liar(b)) ),
    a_and_b_liar ).

cnf(c_0_26,hypothesis,
    ~ a_truth(normal(a)),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_23]),c_0_24]) ).

cnf(c_0_27,hypothesis,
    ( answer(a_truthteller_b_liar)
    | ~ a_truth(truthteller(a))
    | ~ a_truth(liar(b)) ),
    a_truthteller_b_liar ).

cnf(c_0_28,hypothesis,
    ( ~ a_truth(liar(a))
    | ~ a_truth(liar(b)) ),
    inference(sr,[status(thm)],[c_0_25,c_0_12]) ).

cnf(c_0_29,hypothesis,
    ( a_truth(liar(a))
    | a_truth(truthteller(a)) ),
    inference(spm,[status(thm)],[c_0_26,c_0_16]) ).

cnf(c_0_30,hypothesis,
    ( ~ a_truth(truthteller(a))
    | ~ a_truth(liar(b)) ),
    inference(sr,[status(thm)],[c_0_27,c_0_12]) ).

cnf(c_0_31,hypothesis,
    ( answer(a_liar_b_truthteller)
    | ~ a_truth(liar(a))
    | ~ a_truth(truthteller(b)) ),
    a_liar_b_truthteller ).

cnf(c_0_32,hypothesis,
    ~ a_truth(liar(b)),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_29]),c_0_30]) ).

cnf(c_0_33,hypothesis,
    ( ~ a_truth(truthteller(b))
    | ~ a_truth(liar(a)) ),
    inference(sr,[status(thm)],[c_0_31,c_0_12]) ).

cnf(c_0_34,hypothesis,
    a_truth(truthteller(b)),
    inference(sr,[status(thm)],[c_0_23,c_0_32]) ).

cnf(c_0_35,hypothesis,
    ( answer(a_and_b_truthteller)
    | ~ a_truth(truthteller(a))
    | ~ a_truth(truthteller(b)) ),
    a_and_b_truthteller ).

cnf(c_0_36,hypothesis,
    ~ a_truth(liar(a)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_33,c_0_34])]) ).

cnf(c_0_37,hypothesis,
    ( ~ a_truth(truthteller(a))
    | ~ a_truth(truthteller(b)) ),
    inference(sr,[status(thm)],[c_0_35,c_0_12]) ).

cnf(c_0_38,hypothesis,
    a_truth(truthteller(a)),
    inference(sr,[status(thm)],[c_0_29,c_0_36]) ).

cnf(c_0_39,hypothesis,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_37,c_0_34])]),c_0_38])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : PUZ027-1 : TPTP v8.1.2. Released v1.0.0.
% 0.12/0.13  % Command    : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.14/0.34  % Computer : n006.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit   : 300
% 0.14/0.34  % WCLimit    : 300
% 0.14/0.34  % DateTime   : Sat Aug 26 21:55:22 EDT 2023
% 0.14/0.35  % CPUTime  : 
% 0.21/0.55  start to proof: theBenchmark
% 0.21/0.56  % Version  : CSE_E---1.5
% 0.21/0.56  % Problem  : theBenchmark.p
% 0.21/0.56  % Proof found
% 0.21/0.56  % SZS status Theorem for theBenchmark.p
% 0.21/0.56  % SZS output start Proof
% See solution above
% 0.21/0.57  % Total time : 0.006000 s
% 0.21/0.57  % SZS output end Proof
% 0.21/0.57  % Total time : 0.009000 s
%------------------------------------------------------------------------------