%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : PUZ004-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n026.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 : 600s
% DateTime : Mon Jul 18 18:27:11 EDT 2022
% Result : Unsatisfiable 0.18s 0.40s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 11
% Syntax : Number of clauses : 20 ( 11 unt; 1 nHn; 20 RR)
% Number of literals : 29 ( 0 equ; 12 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(1,axiom,
( ~ dated
| on_blue_paper ),
file('PUZ004-1.p',unknown),
[] ).
cnf(3,axiom,
( ~ in_black_ink
| in_third_person ),
file('PUZ004-1.p',unknown),
[] ).
cnf(4,axiom,
( ~ can_be_read
| ~ filed ),
file('PUZ004-1.p',unknown),
[] ).
cnf(5,axiom,
( ~ on_one_sheet
| dated ),
file('PUZ004-1.p',unknown),
[] ).
cnf(6,axiom,
( crossed
| in_black_ink ),
file('PUZ004-1.p',unknown),
[] ).
cnf(7,axiom,
( ~ by_brown
| begins_with_dear_sir ),
file('PUZ004-1.p',unknown),
[] ).
cnf(8,axiom,
( ~ on_blue_paper
| filed ),
file('PUZ004-1.p',unknown),
[] ).
cnf(9,axiom,
( ~ crossed
| on_one_sheet ),
file('PUZ004-1.p',unknown),
[] ).
cnf(10,axiom,
( ~ begins_with_dear_sir
| ~ in_third_person ),
file('PUZ004-1.p',unknown),
[] ).
cnf(11,axiom,
by_brown,
file('PUZ004-1.p',unknown),
[] ).
cnf(12,axiom,
can_be_read,
file('PUZ004-1.p',unknown),
[] ).
cnf(13,plain,
begins_with_dear_sir,
inference(mrr,[status(thm)],[7,11]),
[iquote('0:MRR:7.0,11.0')] ).
cnf(14,plain,
~ in_third_person,
inference(mrr,[status(thm)],[10,13]),
[iquote('0:MRR:10.0,13.0')] ).
cnf(15,plain,
~ in_black_ink,
inference(mrr,[status(thm)],[3,14]),
[iquote('0:MRR:3.1,14.0')] ).
cnf(16,plain,
crossed,
inference(mrr,[status(thm)],[6,15]),
[iquote('0:MRR:6.1,15.0')] ).
cnf(17,plain,
on_one_sheet,
inference(mrr,[status(thm)],[9,16]),
[iquote('0:MRR:9.0,16.0')] ).
cnf(18,plain,
dated,
inference(mrr,[status(thm)],[5,17]),
[iquote('0:MRR:5.0,17.0')] ).
cnf(19,plain,
on_blue_paper,
inference(mrr,[status(thm)],[1,18]),
[iquote('0:MRR:1.0,18.0')] ).
cnf(20,plain,
filed,
inference(mrr,[status(thm)],[8,19]),
[iquote('0:MRR:8.0,19.0')] ).
cnf(21,plain,
$false,
inference(mrr,[status(thm)],[4,12,20]),
[iquote('0:MRR:4.0,4.1,12.0,20.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : PUZ004-1 : TPTP v8.1.0. Released v1.0.0.
% 0.03/0.12 % Command : run_spass %d %s
% 0.12/0.33 % Computer : n026.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Sun May 29 02:24:54 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.40
% 0.18/0.40 SPASS V 3.9
% 0.18/0.40 SPASS beiseite: Proof found.
% 0.18/0.40 % SZS status Theorem
% 0.18/0.40 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.40 SPASS derived 6 clauses, backtracked 0 clauses, performed 0 splits and kept 18 clauses.
% 0.18/0.40 SPASS allocated 63085 KBytes.
% 0.18/0.40 SPASS spent 0:00:00.05 on the problem.
% 0.18/0.40 0:00:00.04 for the input.
% 0.18/0.40 0:00:00.00 for the FLOTTER CNF translation.
% 0.18/0.40 0:00:00.00 for inferences.
% 0.18/0.40 0:00:00.00 for the backtracking.
% 0.18/0.40 0:00:00.00 for the reduction.
% 0.18/0.40
% 0.18/0.40
% 0.18/0.40 Here is a proof with depth 0, length 20 :
% 0.18/0.40 % SZS output start Refutation
% See solution above
% 0.18/0.40 Formulae used in the proof : dated_on_blue_paper black_ink_in_third_person not_filed_if_read dated_if_on_one_sheet not_crossed_in_black_ink brown_starts_with_sir filed_if_on_blue_paper on_one_sheet_if_crossed no_dear_sirs_in_third_person letter_by_brown prove_it_cannot_be_read
% 0.18/0.40
%------------------------------------------------------------------------------