TSTP Solution File: PUZ006-1 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : PUZ006-1 : 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 13:11:29 EDT 2023
% Result : Unsatisfiable 0.20s 0.58s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 32
% Syntax : Number of formulae : 65 ( 23 unt; 15 typ; 0 def)
% Number of atoms : 83 ( 4 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 71 ( 38 ~; 33 |; 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 : 10 ( 9 >; 1 *; 0 +; 0 <<)
% Number of predicates : 10 ( 8 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 6 con; 0-1 aty)
% Number of variables : 20 ( 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,
ork: $i ).
tff(decl_32,type,
bog_is_from_venus: $i ).
tff(decl_33,type,
bog: $i ).
tff(decl_34,type,
ork_is_from_mars: $i ).
tff(decl_35,type,
bog_is_male: $i ).
tff(decl_36,type,
ork_is_female: $i ).
cnf(bog_is_male2,hypothesis,
( a_truth(bog_is_male)
| ~ male(bog) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',bog_is_male2) ).
cnf(male_or_female,axiom,
( male(X1)
| female(X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/PUZ001-0.ax',male_or_female) ).
cnf(prove_bog_is_female,negated_conjecture,
~ female(bog),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_bog_is_female) ).
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(ork_says_bog_is_male,hypothesis,
says(ork,bog_is_male),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ork_says_bog_is_male) ).
cnf(truthteller_or_liar,axiom,
( truthteller(X1)
| liar(X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/PUZ001-0.ax',truthteller_or_liar) ).
cnf(bog_says_ork_is_from_mar,hypothesis,
says(bog,ork_is_from_mars),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',bog_says_ork_is_from_mar) ).
cnf(bog_is_male1,hypothesis,
( male(bog)
| ~ a_truth(bog_is_male) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',bog_is_male1) ).
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(ork_says_bog_is_from_venus,hypothesis,
says(ork,bog_is_from_venus),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ork_says_bog_is_from_venus) ).
cnf(people_say_their_statements,axiom,
( X2 = statement_by(X1)
| ~ says(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/PUZ001-0.ax',people_say_their_statements) ).
cnf(bog_says_ork_is_female,hypothesis,
says(bog,ork_is_female),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',bog_says_ork_is_female) ).
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(bog_is_from_venus1,hypothesis,
( from_venus(bog)
| ~ a_truth(bog_is_from_venus) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',bog_is_from_venus1) ).
cnf(ork_is_female2,hypothesis,
( a_truth(ork_is_female)
| ~ female(ork) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ork_is_female2) ).
cnf(from_mars_or_venus,axiom,
( from_mars(X1)
| from_venus(X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/PUZ001-0.ax',from_mars_or_venus) ).
cnf(ork_is_from_mars2,hypothesis,
( a_truth(ork_is_from_mars)
| ~ from_mars(ork) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ork_is_from_mars2) ).
cnf(c_0_17,hypothesis,
( a_truth(bog_is_male)
| ~ male(bog) ),
bog_is_male2 ).
cnf(c_0_18,axiom,
( male(X1)
| female(X1) ),
male_or_female ).
cnf(c_0_19,negated_conjecture,
~ female(bog),
prove_bog_is_female ).
cnf(c_0_20,axiom,
( ~ liar(X1)
| ~ says(X1,X2)
| ~ a_truth(X2) ),
liars_make_false_statements ).
cnf(c_0_21,hypothesis,
says(ork,bog_is_male),
ork_says_bog_is_male ).
cnf(c_0_22,hypothesis,
a_truth(bog_is_male),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_18]),c_0_19]) ).
cnf(c_0_23,hypothesis,
~ liar(ork),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_21]),c_0_22])]) ).
cnf(c_0_24,axiom,
( truthteller(X1)
| liar(X1) ),
truthteller_or_liar ).
cnf(c_0_25,hypothesis,
says(bog,ork_is_from_mars),
bog_says_ork_is_from_mar ).
cnf(c_0_26,hypothesis,
( male(bog)
| ~ a_truth(bog_is_male) ),
bog_is_male1 ).
cnf(c_0_27,axiom,
( a_truth(X2)
| ~ truthteller(X1)
| ~ says(X1,X2) ),
truthtellers_make_true_statements ).
cnf(c_0_28,hypothesis,
says(ork,bog_is_from_venus),
ork_says_bog_is_from_venus ).
cnf(c_0_29,hypothesis,
truthteller(ork),
inference(spm,[status(thm)],[c_0_23,c_0_24]) ).
cnf(c_0_30,axiom,
( X2 = statement_by(X1)
| ~ says(X1,X2) ),
people_say_their_statements ).
cnf(c_0_31,hypothesis,
says(bog,ork_is_female),
bog_says_ork_is_female ).
cnf(c_0_32,hypothesis,
( ~ a_truth(ork_is_from_mars)
| ~ liar(bog) ),
inference(spm,[status(thm)],[c_0_20,c_0_25]) ).
cnf(c_0_33,axiom,
( liar(X1)
| ~ from_venus(X1)
| ~ male(X1) ),
venusian_males_are_liars ).
cnf(c_0_34,hypothesis,
male(bog),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_26,c_0_22])]) ).
cnf(c_0_35,hypothesis,
( from_venus(bog)
| ~ a_truth(bog_is_from_venus) ),
bog_is_from_venus1 ).
cnf(c_0_36,hypothesis,
a_truth(bog_is_from_venus),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_28]),c_0_29])]) ).
cnf(c_0_37,hypothesis,
statement_by(bog) = ork_is_female,
inference(spm,[status(thm)],[c_0_30,c_0_31]) ).
cnf(c_0_38,hypothesis,
( ~ a_truth(ork_is_from_mars)
| ~ from_venus(bog) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_33]),c_0_34])]) ).
cnf(c_0_39,hypothesis,
from_venus(bog),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_35,c_0_36])]) ).
cnf(c_0_40,hypothesis,
( a_truth(ork_is_female)
| ~ female(ork) ),
ork_is_female2 ).
cnf(c_0_41,hypothesis,
ork_is_female = ork_is_from_mars,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_25]),c_0_37]) ).
cnf(c_0_42,hypothesis,
~ a_truth(ork_is_from_mars),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_38,c_0_39])]) ).
cnf(c_0_43,hypothesis,
( ~ male(ork)
| ~ from_venus(ork) ),
inference(spm,[status(thm)],[c_0_23,c_0_33]) ).
cnf(c_0_44,hypothesis,
~ female(ork),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_40,c_0_41]),c_0_42]) ).
cnf(c_0_45,hypothesis,
~ from_venus(ork),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_18]),c_0_44]) ).
cnf(c_0_46,axiom,
( from_mars(X1)
| from_venus(X1) ),
from_mars_or_venus ).
cnf(c_0_47,hypothesis,
( a_truth(ork_is_from_mars)
| ~ from_mars(ork) ),
ork_is_from_mars2 ).
cnf(c_0_48,hypothesis,
from_mars(ork),
inference(spm,[status(thm)],[c_0_45,c_0_46]) ).
cnf(c_0_49,hypothesis,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_47,c_0_48])]),c_0_42]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : PUZ006-1 : 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 : n006.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 22:22:37 EDT 2023
% 0.13/0.34 % 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 : 0.005000 s
% 0.20/0.59 % SZS output end Proof
% 0.20/0.59 % Total time : 0.008000 s
%------------------------------------------------------------------------------