%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : PUZ007-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n004.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 08:21:32 AM UTC 2026
% Result : Unsatisfiable 11.23s 6.86s
% Output : CNFRefutation 11.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 17
% Syntax : Number of clauses : 62 ( 13 unt; 25 nHn; 58 RR)
% Number of literals : 132 ( 2 equ; 48 neg)
% Maximal clause size : 4 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% 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 : 19 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(a_says_hes_from_mars,hypothesis,
says(a,'a$ufrom$umars') ).
cnf(b_says_a_lies,hypothesis,
says(b,'a$uhas$ulied') ).
cnf(a_from_mars1,hypothesis,
( 'a$utruth'('a$ufrom$umars')
| ~ 'from$umars'(a) ) ).
cnf(a_from_mars2,hypothesis,
( ~ 'a$utruth'('a$ufrom$umars')
| 'from$umars'(a) ) ).
cnf(a_from_mars3,hypothesis,
( ~ 'a$utruth'('statement$uby'(b))
| ~ 'a$utruth'('a$ufrom$umars') ) ).
cnf(b_states,hypothesis,
'statement$uby'(b) = 'a$uhas$ulied' ).
cnf(truth_of_bs_statement,hypothesis,
( 'a$utruth'('statement$uby'(b))
| 'a$utruth'('a$ufrom$umars') ) ).
cnf(different_sex2,hypothesis,
( female(b)
| ~ male(a) ) ).
cnf(one_from_mars,negated_conjecture,
( 'from$umars'(a)
| 'from$umars'(b) ) ).
cnf(one_from_venus,negated_conjecture,
( 'from$uvenus'(b)
| 'from$uvenus'(a) ) ).
cnf(from_mars_or_venus,axiom,
( 'from$uvenus'(X0)
| 'from$umars'(X0) ) ).
cnf(not_from_mars_and_venus,axiom,
( ~ 'from$uvenus'(X0)
| ~ 'from$umars'(X0) ) ).
cnf(male_or_female,axiom,
( female(X0)
| male(X0) ) ).
cnf(venusian_female_are_truthtellers,axiom,
( truthteller(X0)
| ~ female(X0)
| ~ 'from$uvenus'(X0) ) ).
cnf(marsian_females_are_liars,axiom,
( liar(X0)
| ~ female(X0)
| ~ 'from$umars'(X0) ) ).
cnf(truthtellers_make_true_statements,axiom,
( 'a$utruth'(X1)
| ~ says(X0,X1)
| ~ truthteller(X0) ) ).
cnf(liars_make_false_statements,axiom,
( ~ 'a$utruth'(X1)
| ~ says(X0,X1)
| ~ liar(X0) ) ).
cnf(c0,plain,
says(a,'a$ufrom$umars'),
inference(clausification,[status(esa)],[a_says_hes_from_mars]) ).
cnf(c1,plain,
says(b,'a$uhas$ulied'),
inference(clausification,[status(esa)],[b_says_a_lies]) ).
cnf(c2,plain,
( 'a$utruth'('a$ufrom$umars')
| ~ 'from$umars'(a) ),
inference(clausification,[status(esa)],[a_from_mars1]) ).
cnf(c3,plain,
( ~ 'a$utruth'('a$ufrom$umars')
| 'from$umars'(a) ),
inference(clausification,[status(esa)],[a_from_mars2]) ).
cnf(c4,plain,
( ~ 'a$utruth'('statement$uby'(b))
| ~ 'a$utruth'('a$ufrom$umars') ),
inference(clausification,[status(esa)],[a_from_mars3]) ).
cnf(c6,plain,
'statement$uby'(b) = 'a$uhas$ulied',
inference(clausification,[status(esa)],[b_states]) ).
cnf(c7,plain,
( 'a$utruth'('statement$uby'(b))
| 'a$utruth'('a$ufrom$umars') ),
inference(clausification,[status(esa)],[truth_of_bs_statement]) ).
cnf(c9,plain,
( female(b)
| ~ male(a) ),
inference(clausification,[status(esa)],[different_sex2]) ).
cnf(c10,plain,
( 'from$umars'(a)
| 'from$umars'(b) ),
inference(clausification,[status(esa)],[one_from_mars]) ).
cnf(c11,plain,
( 'from$uvenus'(b)
| 'from$uvenus'(a) ),
inference(clausification,[status(esa)],[one_from_venus]) ).
cnf(c12,plain,
( 'from$uvenus'(X0)
| 'from$umars'(X0) ),
inference(clausification,[status(esa)],[from_mars_or_venus]) ).
cnf(c13,plain,
( ~ 'from$uvenus'(X0)
| ~ 'from$umars'(X0) ),
inference(clausification,[status(esa)],[not_from_mars_and_venus]) ).
cnf(c14,plain,
( female(X0)
| male(X0) ),
inference(clausification,[status(esa)],[male_or_female]) ).
cnf(c22,plain,
( truthteller(X0)
| ~ female(X0)
| ~ 'from$uvenus'(X0) ),
inference(clausification,[status(esa)],[venusian_female_are_truthtellers]) ).
cnf(c25,plain,
( liar(X0)
| ~ female(X0)
| ~ 'from$umars'(X0) ),
inference(clausification,[status(esa)],[marsian_females_are_liars]) ).
cnf(c26,plain,
( 'a$utruth'(X1)
| ~ says(X0,X1)
| ~ truthteller(X0) ),
inference(clausification,[status(esa)],[truthtellers_make_true_statements]) ).
cnf(c27,plain,
( ~ 'a$utruth'(X1)
| ~ says(X0,X1)
| ~ liar(X0) ),
inference(clausification,[status(esa)],[liars_make_false_statements]) ).
cnf(d0,plain,
( 'from$uvenus'(a)
| ~ 'from$umars'(b) ),
inference(resolution,[status(thm)],[c13,c11]) ).
cnf(d1,plain,
( ~ truthteller(b)
| 'a$utruth'('a$uhas$ulied') ),
inference(resolution,[status(thm)],[c26,c1]) ).
cnf(d2,plain,
( female(b)
| female(a) ),
inference(resolution,[status(thm)],[c14,c9]) ).
cnf(d3,plain,
( 'from$umars'(X0)
| truthteller(X0)
| ~ female(X0) ),
inference(resolution,[status(thm)],[c22,c12]) ).
cnf(d4,plain,
( female(a)
| truthteller(b)
| 'from$umars'(b) ),
inference(resolution,[status(thm)],[d3,d2]) ).
cnf(d5,plain,
( 'a$utruth'('a$uhas$ulied')
| female(a)
| 'from$umars'(b) ),
inference(resolution,[status(thm)],[d4,d1]) ).
cnf(d6,plain,
( liar(a)
| ~ 'from$umars'(a)
| 'a$utruth'('a$uhas$ulied')
| 'from$umars'(b) ),
inference(resolution,[status(thm)],[d5,c25]) ).
cnf(d7,plain,
( ~ truthteller(a)
| 'a$utruth'('a$ufrom$umars') ),
inference(resolution,[status(thm)],[c26,c0]) ).
cnf(d8,plain,
( 'a$utruth'('a$uhas$ulied')
| 'a$utruth'('a$ufrom$umars') ),
inference(demodulation,[status(thm)],[c7,c6]) ).
cnf(d9,plain,
( ~ liar(b)
| ~ 'a$utruth'('a$uhas$ulied') ),
inference(resolution,[status(thm)],[c27,c1]) ).
cnf(d10,plain,
( female(a)
| liar(b)
| ~ 'from$umars'(b) ),
inference(resolution,[status(thm)],[c25,d2]) ).
cnf(d11,plain,
( 'from$umars'(a)
| liar(b)
| female(a) ),
inference(resolution,[status(thm)],[d10,c10]) ).
cnf(d12,plain,
( ~ 'a$utruth'('a$uhas$ulied')
| female(a)
| 'from$umars'(a) ),
inference(resolution,[status(thm)],[d11,d9]) ).
cnf(d13,plain,
( 'a$utruth'('a$ufrom$umars')
| female(a)
| 'from$umars'(a) ),
inference(resolution,[status(thm)],[d12,d8]) ).
cnf(d14,plain,
( truthteller(a)
| 'from$umars'(a)
| 'a$utruth'('a$ufrom$umars')
| 'from$umars'(a) ),
inference(resolution,[status(thm)],[d13,d3]) ).
cnf(d15,plain,
( 'a$utruth'('a$ufrom$umars')
| 'a$utruth'('a$ufrom$umars')
| 'from$umars'(a) ),
inference(resolution,[status(thm)],[d14,d7]) ).
cnf(d16,plain,
( 'a$utruth'('a$ufrom$umars')
| 'a$utruth'('a$ufrom$umars') ),
inference(resolution,[status(thm)],[d15,c2]) ).
cnf(d17,plain,
'from$umars'(a),
inference(resolution,[status(thm)],[d16,c3]) ).
cnf(d18,plain,
( liar(a)
| 'a$utruth'('a$uhas$ulied')
| 'from$umars'(b) ),
inference(resolution,[status(thm)],[d17,d6]) ).
cnf(d19,plain,
( ~ 'a$utruth'('a$uhas$ulied')
| ~ 'a$utruth'('a$ufrom$umars') ),
inference(demodulation,[status(thm)],[c4,c6]) ).
cnf(d20,plain,
~ 'a$utruth'('a$uhas$ulied'),
inference(resolution,[status(thm)],[d16,d19]) ).
cnf(d21,plain,
( liar(a)
| 'from$umars'(b) ),
inference(resolution,[status(thm)],[d20,d18]) ).
cnf(d22,plain,
( ~ liar(a)
| ~ 'a$utruth'('a$ufrom$umars') ),
inference(resolution,[status(thm)],[c27,c0]) ).
cnf(d23,plain,
~ liar(a),
inference(resolution,[status(thm)],[d16,d22]) ).
cnf(d24,plain,
'from$umars'(b),
inference(resolution,[status(thm)],[d23,d21]) ).
cnf(d25,plain,
'from$uvenus'(a),
inference(resolution,[status(thm)],[d24,d0]) ).
cnf(d26,plain,
~ 'from$umars'(a),
inference(resolution,[status(thm)],[d25,c13]) ).
cnf(d27,plain,
$false,
inference(resolution,[status(thm)],[d17,d26]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : PUZ007-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.03 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/5.37 % Computer : n004.cluster.edu
% 0.09/5.37 % Model : x86_64 x86_64
% 0.09/5.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/5.37 % Memory : 8046.5625MB
% 0.09/5.37 % OS : Linux 6.8.0-71-generic
% 0.09/5.37 % CPULimit : 300
% 0.09/5.37 % WCLimit : 300
% 0.09/5.37 % DateTime : Sat Sep 26 05:03:29 UTC 2026
% 0.09/5.37 % CPUTime :
% 0.09/5.37 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 11.23/6.86 % SZS status Unsatisfiable for theBenchmark.p
% 11.23/6.86 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------