TSTP Solution File: PUZ020-1 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : PUZ020-1 : 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 : n013.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 13:12:09 EDT 2023
% Result : Unsatisfiable 0.19s 0.63s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 15
% Syntax : Number of formulae : 25 ( 9 unt; 8 typ; 0 def)
% Number of atoms : 29 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 25 ( 13 ~; 12 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 7 ( 6 >; 1 *; 0 +; 0 <<)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-1 aty)
% Number of variables : 6 ( 0 sgn; 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
person: $i > $o ).
tff(decl_23,type,
knight: $i > $o ).
tff(decl_24,type,
knave: $i > $o ).
tff(decl_25,type,
says: ( $i * $i ) > $o ).
tff(decl_26,type,
a_truth: $i > $o ).
tff(decl_27,type,
statement_by: $i > $i ).
tff(decl_28,type,
husband: $i ).
tff(decl_29,type,
wife: $i ).
cnf(knight_wife_means_truthful_husband,hypothesis,
( a_truth(statement_by(husband))
| ~ knight(wife) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',knight_wife_means_truthful_husband) ).
cnf(knight_wife_or_truthful_husband,hypothesis,
( a_truth(statement_by(husband))
| knight(wife) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',knight_wife_or_truthful_husband) ).
cnf(knaves_do_not_say_the_truth,axiom,
( ~ knave(X1)
| ~ says(X1,X2)
| ~ a_truth(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',knaves_do_not_say_the_truth) ).
cnf(husband_makes_statements,hypothesis,
says(husband,statement_by(husband)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',husband_makes_statements) ).
cnf(everyone_a_knight_or_knave,axiom,
( knight(X1)
| knave(X1)
| ~ person(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',everyone_a_knight_or_knave) ).
cnf(husband,hypothesis,
person(husband),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',husband) ).
cnf(prove_knight_husband,negated_conjecture,
~ knight(husband),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_knight_husband) ).
cnf(c_0_7,hypothesis,
( a_truth(statement_by(husband))
| ~ knight(wife) ),
knight_wife_means_truthful_husband ).
cnf(c_0_8,hypothesis,
( a_truth(statement_by(husband))
| knight(wife) ),
knight_wife_or_truthful_husband ).
cnf(c_0_9,axiom,
( ~ knave(X1)
| ~ says(X1,X2)
| ~ a_truth(X2) ),
knaves_do_not_say_the_truth ).
cnf(c_0_10,hypothesis,
says(husband,statement_by(husband)),
husband_makes_statements ).
cnf(c_0_11,hypothesis,
a_truth(statement_by(husband)),
inference(csr,[status(thm)],[c_0_7,c_0_8]) ).
cnf(c_0_12,hypothesis,
~ knave(husband),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_9,c_0_10]),c_0_11])]) ).
cnf(c_0_13,axiom,
( knight(X1)
| knave(X1)
| ~ person(X1) ),
everyone_a_knight_or_knave ).
cnf(c_0_14,hypothesis,
person(husband),
husband ).
cnf(c_0_15,negated_conjecture,
~ knight(husband),
prove_knight_husband ).
cnf(c_0_16,hypothesis,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_12,c_0_13]),c_0_14])]),c_0_15]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : PUZ020-1 : TPTP v8.1.2. Released v1.0.0.
% 0.00/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.13/0.34 % Computer : n013.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 : 300
% 0.13/0.34 % DateTime : Sat Aug 26 22:31:17 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.19/0.61 start to proof: theBenchmark
% 0.19/0.62 % Version : CSE_E---1.5
% 0.19/0.62 % Problem : theBenchmark.p
% 0.19/0.62 % Proof found
% 0.19/0.63 % SZS status Theorem for theBenchmark.p
% 0.19/0.63 % SZS output start Proof
% See solution above
% 0.19/0.63 % Total time : 0.003000 s
% 0.19/0.63 % SZS output end Proof
% 0.19/0.63 % Total time : 0.005000 s
%------------------------------------------------------------------------------