TSTP Solution File: PUZ007-1 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : PUZ007-1 : 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 : n005.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 13:11:29 EDT 2023
% Result : Unsatisfiable 0.20s 0.58s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 32
% Syntax : Number of formulae : 82 ( 15 unt; 13 typ; 0 def)
% Number of atoms : 141 ( 2 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 154 ( 82 ~; 72 |; 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 : 10 ( 9 >; 1 *; 0 +; 0 <<)
% Number of predicates : 10 ( 8 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-1 aty)
% Number of variables : 26 ( 0 sgn; 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
from_mars: $i > $o ).
tff(decl_23,type,
from_venus: $i > $o ).
tff(decl_24,type,
male: $i > $o ).
tff(decl_25,type,
female: $i > $o ).
tff(decl_26,type,
truthteller: $i > $o ).
tff(decl_27,type,
liar: $i > $o ).
tff(decl_28,type,
says: ( $i * $i ) > $o ).
tff(decl_29,type,
a_truth: $i > $o ).
tff(decl_30,type,
statement_by: $i > $i ).
tff(decl_31,type,
a: $i ).
tff(decl_32,type,
a_from_mars: $i ).
tff(decl_33,type,
b: $i ).
tff(decl_34,type,
a_has_lied: $i ).
cnf(liars_make_false_statements,axiom,
( ~ liar(X1)
| ~ says(X1,X2)
| ~ a_truth(X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/PUZ001-0.ax',liars_make_false_statements) ).
cnf(a_says_hes_from_mars,hypothesis,
says(a,a_from_mars),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_says_hes_from_mars) ).
cnf(marsian_females_are_liars,axiom,
( liar(X1)
| ~ from_mars(X1)
| ~ female(X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/PUZ001-0.ax',marsian_females_are_liars) ).
cnf(a_from_mars2,hypothesis,
( from_mars(a)
| ~ a_truth(a_from_mars) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_from_mars2) ).
cnf(not_truthteller_and_liar,axiom,
( ~ truthteller(X1)
| ~ liar(X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/PUZ001-0.ax',not_truthteller_and_liar) ).
cnf(false_statements_made_by_liars,axiom,
( a_truth(statement_by(X1))
| liar(X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/PUZ001-0.ax',false_statements_made_by_liars) ).
cnf(male_or_female,axiom,
( male(X1)
| female(X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/PUZ001-0.ax',male_or_female) ).
cnf(venusian_female_are_truthtellers,axiom,
( truthteller(X1)
| ~ from_venus(X1)
| ~ female(X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/PUZ001-0.ax',venusian_female_are_truthtellers) ).
cnf(venusian_males_are_liars,axiom,
( liar(X1)
| ~ from_venus(X1)
| ~ male(X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/PUZ001-0.ax',venusian_males_are_liars) ).
cnf(b_says_a_lies,hypothesis,
says(b,a_has_lied),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b_says_a_lies) ).
cnf(different_sex2,hypothesis,
( female(b)
| ~ male(a) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',different_sex2) ).
cnf(b_states,hypothesis,
statement_by(b) = a_has_lied,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b_states) ).
cnf(one_from_venus,negated_conjecture,
( from_venus(a)
| from_venus(b) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',one_from_venus) ).
cnf(truth_of_bs_statement,hypothesis,
( a_truth(a_from_mars)
| a_truth(statement_by(b)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',truth_of_bs_statement) ).
cnf(a_from_mars3,hypothesis,
( ~ a_truth(a_from_mars)
| ~ a_truth(statement_by(b)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_from_mars3) ).
cnf(a_from_mars1,hypothesis,
( a_truth(a_from_mars)
| ~ from_mars(a) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_from_mars1) ).
cnf(one_from_mars,negated_conjecture,
( from_mars(b)
| from_mars(a) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',one_from_mars) ).
cnf(true_statements_made_by_truthtellers,axiom,
( truthteller(X1)
| ~ a_truth(statement_by(X1)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/PUZ001-0.ax',true_statements_made_by_truthtellers) ).
cnf(truthtellers_make_true_statements,axiom,
( a_truth(X2)
| ~ truthteller(X1)
| ~ says(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/PUZ001-0.ax',truthtellers_make_true_statements) ).
cnf(c_0_19,axiom,
( ~ liar(X1)
| ~ says(X1,X2)
| ~ a_truth(X2) ),
liars_make_false_statements ).
cnf(c_0_20,hypothesis,
says(a,a_from_mars),
a_says_hes_from_mars ).
cnf(c_0_21,hypothesis,
( ~ a_truth(a_from_mars)
| ~ liar(a) ),
inference(spm,[status(thm)],[c_0_19,c_0_20]) ).
cnf(c_0_22,axiom,
( liar(X1)
| ~ from_mars(X1)
| ~ female(X1) ),
marsian_females_are_liars ).
cnf(c_0_23,hypothesis,
( from_mars(a)
| ~ a_truth(a_from_mars) ),
a_from_mars2 ).
cnf(c_0_24,axiom,
( ~ truthteller(X1)
| ~ liar(X1) ),
not_truthteller_and_liar ).
cnf(c_0_25,axiom,
( a_truth(statement_by(X1))
| liar(X1) ),
false_statements_made_by_liars ).
cnf(c_0_26,hypothesis,
( ~ a_truth(a_from_mars)
| ~ female(a) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_22]),c_0_23]) ).
cnf(c_0_27,axiom,
( male(X1)
| female(X1) ),
male_or_female ).
cnf(c_0_28,plain,
( a_truth(statement_by(X1))
| ~ truthteller(X1) ),
inference(spm,[status(thm)],[c_0_24,c_0_25]) ).
cnf(c_0_29,axiom,
( truthteller(X1)
| ~ from_venus(X1)
| ~ female(X1) ),
venusian_female_are_truthtellers ).
cnf(c_0_30,axiom,
( liar(X1)
| ~ from_venus(X1)
| ~ male(X1) ),
venusian_males_are_liars ).
cnf(c_0_31,hypothesis,
( male(a)
| ~ a_truth(a_from_mars) ),
inference(spm,[status(thm)],[c_0_26,c_0_27]) ).
cnf(c_0_32,hypothesis,
says(b,a_has_lied),
b_says_a_lies ).
cnf(c_0_33,plain,
( a_truth(statement_by(X1))
| ~ female(X1)
| ~ from_venus(X1) ),
inference(spm,[status(thm)],[c_0_28,c_0_29]) ).
cnf(c_0_34,hypothesis,
( female(b)
| ~ male(a) ),
different_sex2 ).
cnf(c_0_35,hypothesis,
statement_by(b) = a_has_lied,
b_states ).
cnf(c_0_36,hypothesis,
( ~ a_truth(a_from_mars)
| ~ from_venus(a) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_30]),c_0_31]) ).
cnf(c_0_37,negated_conjecture,
( from_venus(a)
| from_venus(b) ),
one_from_venus ).
cnf(c_0_38,hypothesis,
( a_truth(a_from_mars)
| a_truth(statement_by(b)) ),
truth_of_bs_statement ).
cnf(c_0_39,hypothesis,
( ~ a_truth(a_has_lied)
| ~ liar(b) ),
inference(spm,[status(thm)],[c_0_19,c_0_32]) ).
cnf(c_0_40,hypothesis,
( ~ a_truth(a_from_mars)
| ~ a_truth(statement_by(b)) ),
a_from_mars3 ).
cnf(c_0_41,hypothesis,
( a_truth(a_has_lied)
| ~ male(a)
| ~ from_venus(b) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_34]),c_0_35]) ).
cnf(c_0_42,negated_conjecture,
( from_venus(b)
| ~ a_truth(a_from_mars) ),
inference(spm,[status(thm)],[c_0_36,c_0_37]) ).
cnf(c_0_43,hypothesis,
( a_truth(a_has_lied)
| a_truth(a_from_mars) ),
inference(rw,[status(thm)],[c_0_38,c_0_35]) ).
cnf(c_0_44,hypothesis,
( ~ a_truth(a_has_lied)
| ~ female(b)
| ~ from_mars(b) ),
inference(spm,[status(thm)],[c_0_39,c_0_22]) ).
cnf(c_0_45,hypothesis,
( a_truth(a_from_mars)
| ~ from_mars(a) ),
a_from_mars1 ).
cnf(c_0_46,negated_conjecture,
( from_mars(b)
| from_mars(a) ),
one_from_mars ).
cnf(c_0_47,hypothesis,
( ~ a_truth(a_from_mars)
| ~ a_truth(a_has_lied) ),
inference(rw,[status(thm)],[c_0_40,c_0_35]) ).
cnf(c_0_48,hypothesis,
a_truth(a_has_lied),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_31]),c_0_42]),c_0_43]) ).
cnf(c_0_49,hypothesis,
( male(b)
| ~ a_truth(a_has_lied)
| ~ from_mars(b) ),
inference(spm,[status(thm)],[c_0_44,c_0_27]) ).
cnf(c_0_50,negated_conjecture,
( a_truth(a_from_mars)
| from_mars(b) ),
inference(spm,[status(thm)],[c_0_45,c_0_46]) ).
cnf(c_0_51,hypothesis,
~ a_truth(a_from_mars),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_47,c_0_48])]) ).
cnf(c_0_52,hypothesis,
( ~ a_truth(a_has_lied)
| ~ male(b)
| ~ from_venus(b) ),
inference(spm,[status(thm)],[c_0_39,c_0_30]) ).
cnf(c_0_53,hypothesis,
( male(b)
| ~ from_mars(b) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_49,c_0_48])]) ).
cnf(c_0_54,negated_conjecture,
from_mars(b),
inference(sr,[status(thm)],[c_0_50,c_0_51]) ).
cnf(c_0_55,plain,
( ~ truthteller(X1)
| ~ female(X1)
| ~ from_mars(X1) ),
inference(spm,[status(thm)],[c_0_24,c_0_22]) ).
cnf(c_0_56,axiom,
( truthteller(X1)
| ~ a_truth(statement_by(X1)) ),
true_statements_made_by_truthtellers ).
cnf(c_0_57,hypothesis,
( ~ male(b)
| ~ from_venus(b) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_52,c_0_48])]) ).
cnf(c_0_58,hypothesis,
male(b),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_53,c_0_54])]) ).
cnf(c_0_59,plain,
( ~ a_truth(statement_by(X1))
| ~ female(X1)
| ~ from_mars(X1) ),
inference(spm,[status(thm)],[c_0_55,c_0_56]) ).
cnf(c_0_60,axiom,
( a_truth(X2)
| ~ truthteller(X1)
| ~ says(X1,X2) ),
truthtellers_make_true_statements ).
cnf(c_0_61,hypothesis,
~ from_venus(b),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_57,c_0_58])]) ).
cnf(c_0_62,hypothesis,
( ~ a_truth(a_has_lied)
| ~ male(a)
| ~ from_mars(b) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_34]),c_0_35]) ).
cnf(c_0_63,hypothesis,
( a_truth(a_from_mars)
| ~ truthteller(a) ),
inference(spm,[status(thm)],[c_0_60,c_0_20]) ).
cnf(c_0_64,negated_conjecture,
from_venus(a),
inference(sr,[status(thm)],[c_0_37,c_0_61]) ).
cnf(c_0_65,hypothesis,
( ~ male(a)
| ~ from_mars(b) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_62,c_0_48])]) ).
cnf(c_0_66,hypothesis,
~ female(a),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_29]),c_0_64])]),c_0_51]) ).
cnf(c_0_67,hypothesis,
~ male(a),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_65,c_0_54])]) ).
cnf(c_0_68,hypothesis,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_27]),c_0_67]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : PUZ007-1 : TPTP v8.1.2. Released v1.0.0.
% 0.07/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.14/0.34 % Computer : n005.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 22:00:08 EDT 2023
% 0.14/0.34 % CPUTime :
% 0.20/0.57 start to proof: theBenchmark
% 0.20/0.58 % Version : CSE_E---1.5
% 0.20/0.58 % Problem : theBenchmark.p
% 0.20/0.58 % Proof found
% 0.20/0.58 % SZS status Theorem for theBenchmark.p
% 0.20/0.58 % SZS output start Proof
% See solution above
% 0.20/0.59 % Total time : 0.008000 s
% 0.20/0.59 % SZS output end Proof
% 0.20/0.59 % Total time : 0.011000 s
%------------------------------------------------------------------------------