%------------------------------------------------------------------------------
% File : Z3---4.15.1
% Problem : PUZ004-1 : TPTP v9.0.0. Released v1.0.0.
% Transfm : none
% Format : tptp
% Command : run_E %s %d THM
% Computer : n012.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 : 300s
% DateTime : Sat Jun 21 05:23:07 AM UTC 2025
% Result : Unsatisfiable 0.13s 0.38s
% Output : Proof 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 15
% Syntax : Number of formulae : 34 ( 11 unt; 0 typ; 0 def)
% Number of atoms : 65 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 65 ( 34 ~; 27 |; 0 &)
% ( 4 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Maximal term depth : 0 ( 0 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% 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 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(crossed_type,type,
crossed: $o ).
tff(in_black_ink_type,type,
in_black_ink: $o ).
tff(in_third_person_type,type,
in_third_person: $o ).
tff(begins_with_dear_sir_type,type,
begins_with_dear_sir: $o ).
tff(by_brown_type,type,
by_brown: $o ).
tff(on_one_sheet_type,type,
on_one_sheet: $o ).
tff(dated_type,type,
dated: $o ).
tff(on_blue_paper_type,type,
on_blue_paper: $o ).
tff(filed_type,type,
filed: $o ).
tff(can_be_read_type,type,
can_be_read: $o ).
tff(1,axiom,
by_brown,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',letter_by_brown) ).
tff(2,plain,
( ( ~ by_brown
| begins_with_dear_sir )
<=> ( ~ by_brown
| begins_with_dear_sir ) ),
inference(rewrite,[status(thm)],[]) ).
tff(3,axiom,
( ~ by_brown
| begins_with_dear_sir ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',brown_starts_with_sir) ).
tff(4,plain,
( ~ by_brown
| begins_with_dear_sir ),
inference(modus_ponens,[status(thm)],[3,2]) ).
tff(5,plain,
( ~ by_brown
| begins_with_dear_sir ),
inference(modus_ponens,[status(thm)],[4,2]) ).
tff(6,plain,
( ~ by_brown
| begins_with_dear_sir ),
inference(modus_ponens,[status(thm)],[5,2]) ).
tff(7,plain,
( ~ by_brown
| begins_with_dear_sir ),
inference(modus_ponens,[status(thm)],[6,2]) ).
tff(8,plain,
begins_with_dear_sir,
inference(unit_resolution,[status(thm)],[7,1]) ).
tff(9,axiom,
( ~ begins_with_dear_sir
| ~ in_third_person ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',no_dear_sirs_in_third_person) ).
tff(10,plain,
~ in_third_person,
inference(unit_resolution,[status(thm)],[9,8]) ).
tff(11,axiom,
( in_third_person
| ~ in_black_ink ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',black_ink_in_third_person) ).
tff(12,plain,
~ in_black_ink,
inference(unit_resolution,[status(thm)],[11,10]) ).
tff(13,axiom,
( crossed
| in_black_ink ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_crossed_in_black_ink) ).
tff(14,plain,
crossed,
inference(unit_resolution,[status(thm)],[13,12]) ).
tff(15,axiom,
can_be_read,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_it_cannot_be_read) ).
tff(16,axiom,
( ~ can_be_read
| ~ filed ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_filed_if_read) ).
tff(17,plain,
~ filed,
inference(unit_resolution,[status(thm)],[16,15]) ).
tff(18,plain,
( ( ~ on_blue_paper
| filed )
<=> ( filed
| ~ on_blue_paper ) ),
inference(rewrite,[status(thm)],[]) ).
tff(19,axiom,
( ~ on_blue_paper
| filed ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',filed_if_on_blue_paper) ).
tff(20,plain,
( filed
| ~ on_blue_paper ),
inference(modus_ponens,[status(thm)],[19,18]) ).
tff(21,plain,
~ on_blue_paper,
inference(unit_resolution,[status(thm)],[20,17]) ).
tff(22,plain,
( ( ~ dated
| on_blue_paper )
<=> ( ~ dated
| on_blue_paper ) ),
inference(rewrite,[status(thm)],[]) ).
tff(23,axiom,
( ~ dated
| on_blue_paper ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dated_on_blue_paper) ).
tff(24,plain,
( ~ dated
| on_blue_paper ),
inference(modus_ponens,[status(thm)],[23,22]) ).
tff(25,plain,
( ~ dated
| on_blue_paper ),
inference(modus_ponens,[status(thm)],[24,22]) ).
tff(26,plain,
( ~ dated
| on_blue_paper ),
inference(modus_ponens,[status(thm)],[25,22]) ).
tff(27,plain,
( ~ dated
| on_blue_paper ),
inference(modus_ponens,[status(thm)],[26,22]) ).
tff(28,plain,
~ dated,
inference(unit_resolution,[status(thm)],[27,21]) ).
tff(29,plain,
( ( ~ on_one_sheet
| dated )
<=> ( dated
| ~ on_one_sheet ) ),
inference(rewrite,[status(thm)],[]) ).
tff(30,axiom,
( ~ on_one_sheet
| dated ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dated_if_on_one_sheet) ).
tff(31,plain,
( dated
| ~ on_one_sheet ),
inference(modus_ponens,[status(thm)],[30,29]) ).
tff(32,plain,
~ on_one_sheet,
inference(unit_resolution,[status(thm)],[31,28]) ).
tff(33,axiom,
( on_one_sheet
| ~ crossed ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',on_one_sheet_if_crossed) ).
tff(34,plain,
$false,
inference(unit_resolution,[status(thm)],[33,32,14]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13 % Problem : PUZ004-1 : TPTP v9.0.0. Released v1.0.0.
% 0.11/0.13 % Command : run_E %s %d THM
% 0.13/0.35 % Computer : n012.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Fri Jun 20 02:38:10 EDT 2025
% 0.13/0.35 % CPUTime :
% 0.13/0.38 % SZS status Unsatisfiable
% 0.13/0.38 % SZS output start Proof
% See solution above
% 0.13/0.38 % E exiting
%------------------------------------------------------------------------------