%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : PUZ006-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n009.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 08:21:31 AM UTC 2026
% Result : Unsatisfiable 11.70s 3.39s
% Output : CNFRefutation 11.70s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 15
% Syntax : Number of clauses : 56 ( 26 unt; 9 nHn; 52 RR)
% Number of literals : 92 ( 8 equ; 36 neg)
% Maximal clause size : 3 ( 1 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 : 15 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(ork_says_bog_is_from_venus,hypothesis,
says(ork,'bog$uis$ufrom$uvenus') ).
cnf(bog_says_ork_is_from_mar,hypothesis,
says(bog,'ork$uis$ufrom$umars') ).
cnf(ork_says_bog_is_male,hypothesis,
says(ork,'bog$uis$umale') ).
cnf(bog_says_ork_is_female,hypothesis,
says(bog,'ork$uis$ufemale') ).
cnf(bog_is_from_venus1,hypothesis,
( 'from$uvenus'(bog)
| ~ 'a$utruth'('bog$uis$ufrom$uvenus') ) ).
cnf(bog_is_male1,hypothesis,
( male(bog)
| ~ 'a$utruth'('bog$uis$umale') ) ).
cnf(ork_is_from_mars2,hypothesis,
( 'a$utruth'('ork$uis$ufrom$umars')
| ~ 'from$umars'(ork) ) ).
cnf(bog_is_male2,hypothesis,
( 'a$utruth'('bog$uis$umale')
| ~ male(bog) ) ).
cnf(ork_is_female2,hypothesis,
( 'a$utruth'('ork$uis$ufemale')
| ~ female(ork) ) ).
cnf(prove_bog_is_female,negated_conjecture,
~ female(bog) ).
cnf(from_mars_or_venus,axiom,
( 'from$uvenus'(X0)
| 'from$umars'(X0) ) ).
cnf(male_or_female,axiom,
( female(X0)
| male(X0) ) ).
cnf(people_say_their_statements,axiom,
( X1 = 'statement$uby'(X0)
| ~ says(X0,X1) ) ).
cnf(venusian_males_are_liars,axiom,
( liar(X0)
| ~ male(X0)
| ~ 'from$uvenus'(X0) ) ).
cnf(liars_make_false_statements,axiom,
( ~ 'a$utruth'(X1)
| ~ says(X0,X1)
| ~ liar(X0) ) ).
cnf(c0,plain,
says(ork,'bog$uis$ufrom$uvenus'),
inference(clausification,[status(esa)],[ork_says_bog_is_from_venus]) ).
cnf(c1,plain,
says(bog,'ork$uis$ufrom$umars'),
inference(clausification,[status(esa)],[bog_says_ork_is_from_mar]) ).
cnf(c2,plain,
says(ork,'bog$uis$umale'),
inference(clausification,[status(esa)],[ork_says_bog_is_male]) ).
cnf(c3,plain,
says(bog,'ork$uis$ufemale'),
inference(clausification,[status(esa)],[bog_says_ork_is_female]) ).
cnf(c4,plain,
( 'from$uvenus'(bog)
| ~ 'a$utruth'('bog$uis$ufrom$uvenus') ),
inference(clausification,[status(esa)],[bog_is_from_venus1]) ).
cnf(c6,plain,
( male(bog)
| ~ 'a$utruth'('bog$uis$umale') ),
inference(clausification,[status(esa)],[bog_is_male1]) ).
cnf(c9,plain,
( 'a$utruth'('ork$uis$ufrom$umars')
| ~ 'from$umars'(ork) ),
inference(clausification,[status(esa)],[ork_is_from_mars2]) ).
cnf(c10,plain,
( 'a$utruth'('bog$uis$umale')
| ~ male(bog) ),
inference(clausification,[status(esa)],[bog_is_male2]) ).
cnf(c11,plain,
( 'a$utruth'('ork$uis$ufemale')
| ~ female(ork) ),
inference(clausification,[status(esa)],[ork_is_female2]) ).
cnf(c12,plain,
~ female(bog),
inference(clausification,[status(esa)],[prove_bog_is_female]) ).
cnf(c13,plain,
( 'from$uvenus'(X0)
| 'from$umars'(X0) ),
inference(clausification,[status(esa)],[from_mars_or_venus]) ).
cnf(c15,plain,
( female(X0)
| male(X0) ),
inference(clausification,[status(esa)],[male_or_female]) ).
cnf(c20,plain,
( X1 = 'statement$uby'(X0)
| ~ says(X0,X1) ),
inference(clausification,[status(esa)],[people_say_their_statements]) ).
cnf(c24,plain,
( liar(X0)
| ~ male(X0)
| ~ 'from$uvenus'(X0) ),
inference(clausification,[status(esa)],[venusian_males_are_liars]) ).
cnf(c28,plain,
( ~ 'a$utruth'(X1)
| ~ says(X0,X1)
| ~ liar(X0) ),
inference(clausification,[status(esa)],[liars_make_false_statements]) ).
cnf(d0,plain,
( 'from$uvenus'(ork)
| 'a$utruth'('ork$uis$ufrom$umars') ),
inference(resolution,[status(thm)],[c9,c13]) ).
cnf(d1,plain,
( female(X0)
| liar(X0)
| ~ 'from$uvenus'(X0) ),
inference(resolution,[status(thm)],[c24,c15]) ).
cnf(d2,plain,
( 'a$utruth'('ork$uis$ufrom$umars')
| liar(ork)
| female(ork) ),
inference(resolution,[status(thm)],[d1,d0]) ).
cnf(d3,plain,
( ~ liar(ork)
| ~ 'a$utruth'('bog$uis$ufrom$uvenus') ),
inference(resolution,[status(thm)],[c28,c0]) ).
cnf(d4,plain,
'bog$uis$ufrom$uvenus' = 'statement$uby'(ork),
inference(resolution,[status(thm)],[c20,c0]) ).
cnf(d5,plain,
'bog$uis$umale' = 'statement$uby'(ork),
inference(resolution,[status(thm)],[c20,c2]) ).
cnf(d6,plain,
'bog$uis$umale' = 'bog$uis$ufrom$uvenus',
inference(demodulation,[status(thm)],[d5,d4]) ).
cnf(d7,plain,
( 'a$utruth'('bog$uis$umale')
| female(bog) ),
inference(resolution,[status(thm)],[c15,c10]) ).
cnf(d8,plain,
'a$utruth'('bog$uis$umale'),
inference(resolution,[status(thm)],[c12,d7]) ).
cnf(d9,plain,
'a$utruth'('bog$uis$ufrom$uvenus'),
inference(demodulation,[status(thm)],[d8,d6]) ).
cnf(d10,plain,
~ liar(ork),
inference(resolution,[status(thm)],[d9,d3]) ).
cnf(d11,plain,
( female(ork)
| 'a$utruth'('ork$uis$ufrom$umars') ),
inference(resolution,[status(thm)],[d10,d2]) ).
cnf(d12,plain,
'ork$uis$ufrom$umars' = 'statement$uby'(bog),
inference(resolution,[status(thm)],[c20,c1]) ).
cnf(d13,plain,
'ork$uis$ufemale' = 'statement$uby'(bog),
inference(resolution,[status(thm)],[c20,c3]) ).
cnf(d14,plain,
'ork$uis$ufemale' = 'ork$uis$ufrom$umars',
inference(demodulation,[status(thm)],[d13,d12]) ).
cnf(d15,plain,
( ~ liar(bog)
| ~ 'a$utruth'('ork$uis$ufemale') ),
inference(resolution,[status(thm)],[c28,c3]) ).
cnf(d16,plain,
( ~ liar(bog)
| ~ 'a$utruth'('ork$uis$ufrom$umars') ),
inference(demodulation,[status(thm)],[d15,d14]) ).
cnf(d17,plain,
male(bog),
inference(resolution,[status(thm)],[d8,c6]) ).
cnf(d18,plain,
( liar(bog)
| ~ 'from$uvenus'(bog) ),
inference(resolution,[status(thm)],[c24,d17]) ).
cnf(d19,plain,
'from$uvenus'(bog),
inference(resolution,[status(thm)],[d9,c4]) ).
cnf(d20,plain,
liar(bog),
inference(resolution,[status(thm)],[d19,d18]) ).
cnf(d21,plain,
~ 'a$utruth'('ork$uis$ufrom$umars'),
inference(resolution,[status(thm)],[d20,d16]) ).
cnf(d22,plain,
female(ork),
inference(resolution,[status(thm)],[d21,d11]) ).
cnf(d23,plain,
( ~ female(ork)
| 'a$utruth'('ork$uis$ufrom$umars') ),
inference(demodulation,[status(thm)],[c11,d14]) ).
cnf(d24,plain,
~ female(ork),
inference(resolution,[status(thm)],[d21,d23]) ).
cnf(d25,plain,
$false,
inference(resolution,[status(thm)],[d24,d22]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : PUZ006-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.07 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.45 % Computer : n009.cluster.edu
% 0.19/0.45 % Model : x86_64 x86_64
% 0.19/0.45 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/0.45 % Memory : 8046.5625MB
% 0.19/0.45 % OS : Linux 6.8.0-71-generic
% 0.19/0.45 % CPULimit : 300
% 0.19/0.45 % WCLimit : 300
% 0.19/0.45 % DateTime : Sat Sep 26 05:03:14 UTC 2026
% 0.19/0.45 % CPUTime :
% 0.19/0.45 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 11.70/3.39 % SZS status Unsatisfiable for theBenchmark.p
% 11.70/3.39 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------