%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : PUZ006-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n013.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sun Sep 27 08:22:43 AM UTC 2026
% Result : Unsatisfiable 0.15s 10.40s
% Output : CNFRefutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 14
% Syntax : Number of formulae : 54 ( 25 unt; 0 def)
% Number of atoms : 93 ( 10 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 85 ( 46 ~; 39 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 9 ( 7 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 6 con; 0-1 aty)
% Number of variables : 18 ( 0 sgn 7 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(liars_make_false_statements,axiom,
! [VAR_0,VAR_1] :
( ~ a_truth(VAR_1)
| ~ says(VAR_0,VAR_1)
| ~ liar(VAR_0) ),
file('theBenchmark.p',liars_make_false_statements) ).
cnf(c_11,plain,
( ~ a_truth(B)
| ~ says(A,B)
| ~ liar(A) ),
inference(clausify,[status(thm)],[liars_make_false_statements]) ).
fof(venusian_males_are_liars,axiom,
! [VAR_0] :
( liar(VAR_0)
| ~ male(VAR_0)
| ~ from_venus(VAR_0) ),
file('theBenchmark.p',venusian_males_are_liars) ).
cnf(c_13,plain,
( liar(A)
| ~ male(A)
| ~ from_venus(A) ),
inference(clausify,[status(thm)],[venusian_males_are_liars]) ).
cnf(c_19,plain,
( ~ a_truth(B)
| ~ says(A,B)
| ~ male(A)
| ~ from_venus(A) ),
inference(resolve,[status(thm)],[c_13,c_11]) ).
fof(from_mars_or_venus,axiom,
! [VAR_0] :
( from_venus(VAR_0)
| from_mars(VAR_0) ),
file('theBenchmark.p',from_mars_or_venus) ).
cnf(c_26,plain,
( from_venus(A)
| from_mars(A) ),
inference(clausify,[status(thm)],[from_mars_or_venus]) ).
fof(male_or_female,axiom,
! [VAR_0] :
( female(VAR_0)
| male(VAR_0) ),
file('theBenchmark.p',male_or_female) ).
cnf(c_28,plain,
( female(A)
| male(A) ),
inference(clausify,[status(thm)],[male_or_female]) ).
fof(people_say_their_statements,axiom,
! [VAR_0,VAR_1] :
( VAR_1 = statement_by(VAR_0)
| ~ says(VAR_0,VAR_1) ),
file('theBenchmark.p',people_say_their_statements) ).
cnf(c_30,plain,
( B = statement_by(A)
| ~ says(A,B) ),
inference(clausify,[status(thm)],[people_say_their_statements]) ).
cnf(c_31,plain,
( statement_by(A) = B
| ~ says(A,B) ),
inference(copy,[status(thm)],[c_30]) ).
fof(ork_says_bog_is_from_venus,axiom,
says(ork,bog_is_from_venus),
file('theBenchmark.p',ork_says_bog_is_from_venus) ).
cnf(c_32,plain,
says(ork,bog_is_from_venus),
inference(clausify,[status(thm)],[ork_says_bog_is_from_venus]) ).
fof(bog_says_ork_is_from_mar,axiom,
says(bog,ork_is_from_mars),
file('theBenchmark.p',bog_says_ork_is_from_mar) ).
cnf(c_33,plain,
says(bog,ork_is_from_mars),
inference(clausify,[status(thm)],[bog_says_ork_is_from_mar]) ).
fof(ork_says_bog_is_male,axiom,
says(ork,bog_is_male),
file('theBenchmark.p',ork_says_bog_is_male) ).
cnf(c_34,plain,
says(ork,bog_is_male),
inference(clausify,[status(thm)],[ork_says_bog_is_male]) ).
fof(bog_says_ork_is_female,axiom,
says(bog,ork_is_female),
file('theBenchmark.p',bog_says_ork_is_female) ).
cnf(c_35,plain,
says(bog,ork_is_female),
inference(clausify,[status(thm)],[bog_says_ork_is_female]) ).
fof(bog_is_from_venus1,axiom,
( from_venus(bog)
| ~ a_truth(bog_is_from_venus) ),
file('theBenchmark.p',bog_is_from_venus1) ).
cnf(c_36,plain,
( from_venus(bog)
| ~ a_truth(bog_is_from_venus) ),
inference(clausify,[status(thm)],[bog_is_from_venus1]) ).
fof(ork_is_from_mars2,axiom,
( a_truth(ork_is_from_mars)
| ~ from_mars(ork) ),
file('theBenchmark.p',ork_is_from_mars2) ).
cnf(c_41,plain,
( a_truth(ork_is_from_mars)
| ~ from_mars(ork) ),
inference(clausify,[status(thm)],[ork_is_from_mars2]) ).
fof(bog_is_male2,axiom,
( a_truth(bog_is_male)
| ~ male(bog) ),
file('theBenchmark.p',bog_is_male2) ).
cnf(c_42,plain,
( a_truth(bog_is_male)
| ~ male(bog) ),
inference(clausify,[status(thm)],[bog_is_male2]) ).
fof(ork_is_female2,axiom,
( a_truth(ork_is_female)
| ~ female(ork) ),
file('theBenchmark.p',ork_is_female2) ).
cnf(c_43,plain,
( a_truth(ork_is_female)
| ~ female(ork) ),
inference(clausify,[status(thm)],[ork_is_female2]) ).
fof(prove_bog_is_female,axiom,
~ female(bog),
file('theBenchmark.p',prove_bog_is_female) ).
cnf(c_44,plain,
~ female(bog),
inference(clausify,[status(thm)],[prove_bog_is_female]) ).
cnf(c_48,plain,
statement_by(ork) = bog_is_from_venus,
inference(resolve,[status(thm)],[c_32,c_31]) ).
cnf(c_54,plain,
( ~ a_truth(bog_is_from_venus)
| ~ male(ork)
| ~ from_venus(ork) ),
inference(resolve,[status(thm)],[c_32,c_19]) ).
cnf(c_55,plain,
statement_by(bog) = ork_is_from_mars,
inference(resolve,[status(thm)],[c_33,c_31]) ).
cnf(c_93,plain,
statement_by(ork) = bog_is_male,
inference(resolve,[status(thm)],[c_34,c_31]) ).
cnf(c_94,plain,
bog_is_from_venus = bog_is_male,
inference(paramod,[status(thm)],[c_48,c_93]) ).
cnf(c_60,plain,
bog_is_male = bog_is_from_venus,
inference(copy,[status(thm)],[c_94]) ).
cnf(c_61,plain,
( a_truth(bog_is_from_venus)
| ~ male(bog) ),
inference(paramod,[status(thm)],[c_60,c_42]) ).
cnf(c_95,plain,
statement_by(bog) = ork_is_female,
inference(resolve,[status(thm)],[c_35,c_31]) ).
cnf(c_63,plain,
ork_is_from_mars = ork_is_female,
inference(paramod,[status(thm)],[c_55,c_95]) ).
cnf(c_67,plain,
( ~ a_truth(ork_is_female)
| ~ male(bog)
| ~ from_venus(bog) ),
inference(resolve,[status(thm)],[c_35,c_19]) ).
cnf(c_69,plain,
( a_truth(ork_is_female)
| ~ from_mars(ork) ),
inference(paramod,[status(thm)],[c_63,c_41]) ).
cnf(c_72,plain,
( female(ork)
| ~ a_truth(bog_is_from_venus)
| ~ from_venus(ork) ),
inference(resolve,[status(thm)],[c_54,c_28]) ).
cnf(c_96,plain,
( female(bog)
| ~ a_truth(ork_is_female)
| ~ from_venus(bog) ),
inference(resolve,[status(thm)],[c_67,c_28]) ).
cnf(c_73,plain,
( ~ a_truth(ork_is_female)
| ~ from_venus(bog) ),
inference(resolve,[status(thm)],[c_44,c_96]) ).
cnf(c_97,plain,
( female(bog)
| a_truth(bog_is_from_venus) ),
inference(resolve,[status(thm)],[c_61,c_28]) ).
cnf(c_75,plain,
a_truth(bog_is_from_venus),
inference(resolve,[status(thm)],[c_44,c_97]) ).
cnf(c_76,plain,
( female(ork)
| ~ from_venus(ork) ),
inference(resolve,[status(thm)],[c_75,c_72]) ).
cnf(c_81,plain,
from_venus(bog),
inference(resolve,[status(thm)],[c_75,c_36]) ).
cnf(c_83,plain,
~ a_truth(ork_is_female),
inference(resolve,[status(thm)],[c_81,c_73]) ).
cnf(c_85,plain,
~ from_mars(ork),
inference(resolve,[status(thm)],[c_83,c_69]) ).
cnf(c_87,plain,
~ female(ork),
inference(resolve,[status(thm)],[c_83,c_43]) ).
cnf(c_88,plain,
~ from_venus(ork),
inference(resolve,[status(thm)],[c_87,c_76]) ).
cnf(c_98,plain,
from_mars(ork),
inference(resolve,[status(thm)],[c_88,c_26]) ).
cnf(c_92,plain,
$false,
inference(resolve,[status(thm)],[c_85,c_98]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : PUZ006-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/10.38 % Computer : n013.cluster.edu
% 0.10/10.38 % Model : x86_64 x86_64
% 0.10/10.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/10.38 % Memory : 8046.5625MB
% 0.10/10.38 % OS : Linux 6.8.0-71-generic
% 0.10/10.38 % CPULimit : 300
% 0.10/10.38 % WCLimit : 300
% 0.10/10.38 % DateTime : Sat Sep 26 05:02:48 UTC 2026
% 0.10/10.39 % CPUTime :
% 0.10/10.39 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.10/10.39 % Process 1967700 was started by sandbox2 on n013,
% 0.10/10.39 % Sat Sep 26 05:02:48 2026
% 0.10/10.39 % The command was "/export/starexec/sandbox2/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p".
% 0.10/10.39
% 0.10/10.39 % From the command line: assign(max_seconds, 300).
% 0.15/10.40
% 0.15/10.40 % SZS status Unsatisfiable for theBenchmark
% 0.15/10.40
% 0.15/10.40 % Proof 1 at 0.00 (+ 0.00) seconds.
% 0.15/10.40 % Length of proof is 34.
% 0.15/10.40 % Level of proof is 10.
% 0.15/10.40 % Maximum clause weight is 9.000.
% 0.15/10.40 % Given clauses 45.
% 0.15/10.40
% 0.15/10.40 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------