%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : PUZ004-1 : 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 08:21:31 AM UTC 2026
% Result : Unsatisfiable 9.75s 1.81s
% Output : CNFRefutation 9.75s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 11
% Syntax : Number of clauses : 32 ( 13 unt; 3 nHn; 32 RR)
% Number of literals : 51 ( 0 equ; 26 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 0 ( 0 avg)
% Number of predicates : 11 ( 10 usr; 11 prp; 0-0 aty)
% Number of functors : 0 ( 0 usr; 0 con; --- aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(dated_on_blue_paper,axiom,
( 'on$ublue$upaper'
| ~ dated ) ).
cnf(black_ink_in_third_person,axiom,
( ~ 'in$ublack$uink'
| 'in$uthird$uperson' ) ).
cnf(not_filed_if_read,axiom,
( ~ filed
| ~ 'can$ube$uread' ) ).
cnf(dated_if_on_one_sheet,axiom,
( dated
| ~ 'on$uone$usheet' ) ).
cnf(not_crossed_in_black_ink,axiom,
( 'in$ublack$uink'
| crossed ) ).
cnf(brown_starts_with_sir,axiom,
( 'begins$uwith$udear$usir'
| ~ 'by$ubrown' ) ).
cnf(filed_if_on_blue_paper,axiom,
( filed
| ~ 'on$ublue$upaper' ) ).
cnf(on_one_sheet_if_crossed,axiom,
( ~ crossed
| 'on$uone$usheet' ) ).
cnf(no_dear_sirs_in_third_person,axiom,
( ~ 'in$uthird$uperson'
| ~ 'begins$uwith$udear$usir' ) ).
cnf(letter_by_brown,hypothesis,
'by$ubrown' ).
cnf(prove_it_cannot_be_read,negated_conjecture,
'can$ube$uread' ).
cnf(c0,plain,
( 'on$ublue$upaper'
| ~ dated ),
inference(clausification,[status(esa)],[dated_on_blue_paper]) ).
cnf(c2,plain,
( ~ 'in$ublack$uink'
| 'in$uthird$uperson' ),
inference(clausification,[status(esa)],[black_ink_in_third_person]) ).
cnf(c3,plain,
( ~ filed
| ~ 'can$ube$uread' ),
inference(clausification,[status(esa)],[not_filed_if_read]) ).
cnf(c4,plain,
( dated
| ~ 'on$uone$usheet' ),
inference(clausification,[status(esa)],[dated_if_on_one_sheet]) ).
cnf(c5,plain,
( 'in$ublack$uink'
| crossed ),
inference(clausification,[status(esa)],[not_crossed_in_black_ink]) ).
cnf(c6,plain,
( 'begins$uwith$udear$usir'
| ~ 'by$ubrown' ),
inference(clausification,[status(esa)],[brown_starts_with_sir]) ).
cnf(c7,plain,
( filed
| ~ 'on$ublue$upaper' ),
inference(clausification,[status(esa)],[filed_if_on_blue_paper]) ).
cnf(c8,plain,
( ~ crossed
| 'on$uone$usheet' ),
inference(clausification,[status(esa)],[on_one_sheet_if_crossed]) ).
cnf(c9,plain,
( ~ 'in$uthird$uperson'
| ~ 'begins$uwith$udear$usir' ),
inference(clausification,[status(esa)],[no_dear_sirs_in_third_person]) ).
cnf(c10,plain,
'by$ubrown',
inference(clausification,[status(esa)],[letter_by_brown]) ).
cnf(c11,plain,
'can$ube$uread',
inference(clausification,[status(esa)],[prove_it_cannot_be_read]) ).
cnf(d0,plain,
'begins$uwith$udear$usir',
inference(resolution,[status(thm)],[c10,c6]) ).
cnf(d1,plain,
~ 'in$uthird$uperson',
inference(resolution,[status(thm)],[d0,c9]) ).
cnf(d2,plain,
~ 'in$ublack$uink',
inference(resolution,[status(thm)],[d1,c2]) ).
cnf(d3,plain,
( 'in$ublack$uink'
| 'on$uone$usheet' ),
inference(resolution,[status(thm)],[c8,c5]) ).
cnf(d4,plain,
~ filed,
inference(resolution,[status(thm)],[c11,c3]) ).
cnf(d5,plain,
~ 'on$ublue$upaper',
inference(resolution,[status(thm)],[d4,c7]) ).
cnf(d6,plain,
~ dated,
inference(resolution,[status(thm)],[d5,c0]) ).
cnf(d7,plain,
~ 'on$uone$usheet',
inference(resolution,[status(thm)],[d6,c4]) ).
cnf(d8,plain,
'in$ublack$uink',
inference(resolution,[status(thm)],[d7,d3]) ).
cnf(d9,plain,
$false,
inference(resolution,[status(thm)],[d8,d2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : PUZ004-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.55 % Computer : n004.cluster.edu
% 0.10/0.55 % Model : x86_64 x86_64
% 0.10/0.55 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.55 % Memory : 8046.5625MB
% 0.10/0.55 % OS : Linux 6.8.0-71-generic
% 0.10/0.55 % CPULimit : 300
% 0.10/0.55 % WCLimit : 300
% 0.10/0.55 % DateTime : Sat Sep 26 05:03:08 UTC 2026
% 0.10/0.56 % CPUTime :
% 0.10/0.56 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 9.75/1.81 % SZS status Unsatisfiable for theBenchmark.p
% 9.75/1.81 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------