TSTP Solution File: PUZ004-1 by Z3---4.8.9.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Z3---4.8.9.0
% Problem : PUZ004-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp
% Command : z3_tptp -proof -model -t:%d -file:%s
% Computer : n018.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 : Sun Sep 18 14:10:47 EDT 2022
% Result : Unsatisfiable 0.14s 0.39s
% Output : Proof 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 26
% Number of leaves : 39
% Syntax : Number of formulae : 95 ( 11 unt; 10 typ; 0 def)
% Number of atoms : 211 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 220 ( 94 ~; 60 |; 0 &)
% ( 66 <=>; 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 : 12 ( 10 usr; 12 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(on_one_sheet_type,type,
on_one_sheet: $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(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,plain,
( ( $false
| $false )
<=> $false ),
inference(rewrite,[status(thm)],]) ).
tff(2,plain,
( ~ $true
<=> $false ),
inference(rewrite,[status(thm)],]) ).
tff(3,plain,
( ( crossed
<=> $true )
<=> crossed ),
inference(rewrite,[status(thm)],]) ).
tff(4,plain,
( crossed
<=> ( crossed
<=> $true ) ),
inference(symmetry,[status(thm)],[3]) ).
tff(5,plain,
( ( crossed
| $false )
<=> crossed ),
inference(rewrite,[status(thm)],]) ).
tff(6,plain,
( ( in_black_ink
<=> $false )
<=> ~ in_black_ink ),
inference(rewrite,[status(thm)],]) ).
tff(7,plain,
( ~ in_black_ink
<=> ( in_black_ink
<=> $false ) ),
inference(symmetry,[status(thm)],[6]) ).
tff(8,plain,
( ( $false
| ~ in_black_ink )
<=> ~ in_black_ink ),
inference(rewrite,[status(thm)],]) ).
tff(9,plain,
( ( $false
| ~ in_third_person )
<=> ~ in_third_person ),
inference(rewrite,[status(thm)],]) ).
tff(10,plain,
( ( $false
| begins_with_dear_sir )
<=> begins_with_dear_sir ),
inference(rewrite,[status(thm)],]) ).
tff(11,axiom,
by_brown,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',letter_by_brown) ).
tff(12,plain,
( by_brown
<=> $true ),
inference(iff_true,[status(thm)],[11]) ).
tff(13,plain,
( ~ by_brown
<=> ~ $true ),
inference(monotonicity,[status(thm)],[12]) ).
tff(14,plain,
( ~ by_brown
<=> $false ),
inference(transitivity,[status(thm)],[13,2]) ).
tff(15,plain,
( ( ~ by_brown
| begins_with_dear_sir )
<=> ( $false
| begins_with_dear_sir ) ),
inference(monotonicity,[status(thm)],[14]) ).
tff(16,plain,
( ( ~ by_brown
| begins_with_dear_sir )
<=> begins_with_dear_sir ),
inference(transitivity,[status(thm)],[15,10]) ).
tff(17,plain,
( ( ~ by_brown
| begins_with_dear_sir )
<=> ( ~ by_brown
| begins_with_dear_sir ) ),
inference(rewrite,[status(thm)],]) ).
tff(18,axiom,
( ~ by_brown
| begins_with_dear_sir ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',brown_starts_with_sir) ).
tff(19,plain,
( ~ by_brown
| begins_with_dear_sir ),
inference(modus_ponens,[status(thm)],[18,17]) ).
tff(20,plain,
( ~ by_brown
| begins_with_dear_sir ),
inference(modus_ponens,[status(thm)],[19,17]) ).
tff(21,plain,
begins_with_dear_sir,
inference(modus_ponens,[status(thm)],[20,16]) ).
tff(22,plain,
( begins_with_dear_sir
<=> $true ),
inference(iff_true,[status(thm)],[21]) ).
tff(23,plain,
( ~ begins_with_dear_sir
<=> ~ $true ),
inference(monotonicity,[status(thm)],[22]) ).
tff(24,plain,
( ~ begins_with_dear_sir
<=> $false ),
inference(transitivity,[status(thm)],[23,2]) ).
tff(25,plain,
( ( ~ begins_with_dear_sir
| ~ in_third_person )
<=> ( $false
| ~ in_third_person ) ),
inference(monotonicity,[status(thm)],[24]) ).
tff(26,plain,
( ( ~ begins_with_dear_sir
| ~ in_third_person )
<=> ~ in_third_person ),
inference(transitivity,[status(thm)],[25,9]) ).
tff(27,axiom,
( ~ begins_with_dear_sir
| ~ in_third_person ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',no_dear_sirs_in_third_person) ).
tff(28,plain,
~ in_third_person,
inference(modus_ponens,[status(thm)],[27,26]) ).
tff(29,plain,
( in_third_person
<=> $false ),
inference(iff_false,[status(thm)],[28]) ).
tff(30,plain,
( ( in_third_person
| ~ in_black_ink )
<=> ( $false
| ~ in_black_ink ) ),
inference(monotonicity,[status(thm)],[29]) ).
tff(31,plain,
( ( in_third_person
| ~ in_black_ink )
<=> ~ in_black_ink ),
inference(transitivity,[status(thm)],[30,8]) ).
tff(32,axiom,
( in_third_person
| ~ in_black_ink ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',black_ink_in_third_person) ).
tff(33,plain,
~ in_black_ink,
inference(modus_ponens,[status(thm)],[32,31]) ).
tff(34,plain,
( in_black_ink
<=> $false ),
inference(modus_ponens,[status(thm)],[33,7]) ).
tff(35,plain,
( ( crossed
| in_black_ink )
<=> ( crossed
| $false ) ),
inference(monotonicity,[status(thm)],[34]) ).
tff(36,plain,
( ( crossed
| in_black_ink )
<=> crossed ),
inference(transitivity,[status(thm)],[35,5]) ).
tff(37,axiom,
( crossed
| in_black_ink ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_crossed_in_black_ink) ).
tff(38,plain,
crossed,
inference(modus_ponens,[status(thm)],[37,36]) ).
tff(39,plain,
( crossed
<=> $true ),
inference(modus_ponens,[status(thm)],[38,4]) ).
tff(40,plain,
( ~ crossed
<=> ~ $true ),
inference(monotonicity,[status(thm)],[39]) ).
tff(41,plain,
( ~ crossed
<=> $false ),
inference(transitivity,[status(thm)],[40,2]) ).
tff(42,plain,
( ( on_one_sheet
<=> $false )
<=> ~ on_one_sheet ),
inference(rewrite,[status(thm)],]) ).
tff(43,plain,
( ~ on_one_sheet
<=> ( on_one_sheet
<=> $false ) ),
inference(symmetry,[status(thm)],[42]) ).
tff(44,plain,
( ( $false
| ~ on_one_sheet )
<=> ~ on_one_sheet ),
inference(rewrite,[status(thm)],]) ).
tff(45,plain,
( ( dated
<=> $false )
<=> ~ dated ),
inference(rewrite,[status(thm)],]) ).
tff(46,plain,
( ~ dated
<=> ( dated
<=> $false ) ),
inference(symmetry,[status(thm)],[45]) ).
tff(47,plain,
( ( ~ dated
| $false )
<=> ~ dated ),
inference(rewrite,[status(thm)],]) ).
tff(48,plain,
( ( $false
| ~ on_blue_paper )
<=> ~ on_blue_paper ),
inference(rewrite,[status(thm)],]) ).
tff(49,plain,
( ( $false
| ~ filed )
<=> ~ filed ),
inference(rewrite,[status(thm)],]) ).
tff(50,axiom,
can_be_read,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_it_cannot_be_read) ).
tff(51,plain,
( can_be_read
<=> $true ),
inference(iff_true,[status(thm)],[50]) ).
tff(52,plain,
( ~ can_be_read
<=> ~ $true ),
inference(monotonicity,[status(thm)],[51]) ).
tff(53,plain,
( ~ can_be_read
<=> $false ),
inference(transitivity,[status(thm)],[52,2]) ).
tff(54,plain,
( ( ~ can_be_read
| ~ filed )
<=> ( $false
| ~ filed ) ),
inference(monotonicity,[status(thm)],[53]) ).
tff(55,plain,
( ( ~ can_be_read
| ~ filed )
<=> ~ filed ),
inference(transitivity,[status(thm)],[54,49]) ).
tff(56,axiom,
( ~ can_be_read
| ~ filed ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_filed_if_read) ).
tff(57,plain,
~ filed,
inference(modus_ponens,[status(thm)],[56,55]) ).
tff(58,plain,
( filed
<=> $false ),
inference(iff_false,[status(thm)],[57]) ).
tff(59,plain,
( ( filed
| ~ on_blue_paper )
<=> ( $false
| ~ on_blue_paper ) ),
inference(monotonicity,[status(thm)],[58]) ).
tff(60,plain,
( ( filed
| ~ on_blue_paper )
<=> ~ on_blue_paper ),
inference(transitivity,[status(thm)],[59,48]) ).
tff(61,plain,
( ( ~ on_blue_paper
| filed )
<=> ( filed
| ~ on_blue_paper ) ),
inference(rewrite,[status(thm)],]) ).
tff(62,axiom,
( ~ on_blue_paper
| filed ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',filed_if_on_blue_paper) ).
tff(63,plain,
( filed
| ~ on_blue_paper ),
inference(modus_ponens,[status(thm)],[62,61]) ).
tff(64,plain,
~ on_blue_paper,
inference(modus_ponens,[status(thm)],[63,60]) ).
tff(65,plain,
( on_blue_paper
<=> $false ),
inference(iff_false,[status(thm)],[64]) ).
tff(66,plain,
( ( ~ dated
| on_blue_paper )
<=> ( ~ dated
| $false ) ),
inference(monotonicity,[status(thm)],[65]) ).
tff(67,plain,
( ( ~ dated
| on_blue_paper )
<=> ~ dated ),
inference(transitivity,[status(thm)],[66,47]) ).
tff(68,plain,
( ( ~ dated
| on_blue_paper )
<=> ( ~ dated
| on_blue_paper ) ),
inference(rewrite,[status(thm)],]) ).
tff(69,axiom,
( ~ dated
| on_blue_paper ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dated_on_blue_paper) ).
tff(70,plain,
( ~ dated
| on_blue_paper ),
inference(modus_ponens,[status(thm)],[69,68]) ).
tff(71,plain,
( ~ dated
| on_blue_paper ),
inference(modus_ponens,[status(thm)],[70,68]) ).
tff(72,plain,
( ~ dated
| on_blue_paper ),
inference(modus_ponens,[status(thm)],[71,68]) ).
tff(73,plain,
~ dated,
inference(modus_ponens,[status(thm)],[72,67]) ).
tff(74,plain,
( dated
<=> $false ),
inference(modus_ponens,[status(thm)],[73,46]) ).
tff(75,plain,
( ( dated
| ~ on_one_sheet )
<=> ( $false
| ~ on_one_sheet ) ),
inference(monotonicity,[status(thm)],[74]) ).
tff(76,plain,
( ( dated
| ~ on_one_sheet )
<=> ~ on_one_sheet ),
inference(transitivity,[status(thm)],[75,44]) ).
tff(77,plain,
( ( ~ on_one_sheet
| dated )
<=> ( dated
| ~ on_one_sheet ) ),
inference(rewrite,[status(thm)],]) ).
tff(78,axiom,
( ~ on_one_sheet
| dated ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dated_if_on_one_sheet) ).
tff(79,plain,
( dated
| ~ on_one_sheet ),
inference(modus_ponens,[status(thm)],[78,77]) ).
tff(80,plain,
~ on_one_sheet,
inference(modus_ponens,[status(thm)],[79,76]) ).
tff(81,plain,
( on_one_sheet
<=> $false ),
inference(modus_ponens,[status(thm)],[80,43]) ).
tff(82,plain,
( ( on_one_sheet
| ~ crossed )
<=> ( $false
| $false ) ),
inference(monotonicity,[status(thm)],[81,41]) ).
tff(83,plain,
( ( on_one_sheet
| ~ crossed )
<=> $false ),
inference(transitivity,[status(thm)],[82,1]) ).
tff(84,axiom,
( on_one_sheet
| ~ crossed ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',on_one_sheet_if_crossed) ).
tff(85,plain,
$false,
inference(modus_ponens,[status(thm)],[84,83]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : PUZ004-1 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.13 % Command : z3_tptp -proof -model -t:%d -file:%s
% 0.14/0.34 % Computer : n018.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Fri Sep 2 18:19:44 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.14/0.35 Z3tptp [4.8.9.0] (c) 2006-20**. Microsoft Corp.
% 0.14/0.35 Usage: tptp [options] [-file:]file
% 0.14/0.35 -h, -? prints this message.
% 0.14/0.35 -smt2 print SMT-LIB2 benchmark.
% 0.14/0.35 -m, -model generate model.
% 0.14/0.35 -p, -proof generate proof.
% 0.14/0.35 -c, -core generate unsat core of named formulas.
% 0.14/0.35 -st, -statistics display statistics.
% 0.14/0.35 -t:timeout set timeout (in second).
% 0.14/0.35 -smt2status display status in smt2 format instead of SZS.
% 0.14/0.35 -check_status check the status produced by Z3 against annotation in benchmark.
% 0.14/0.35 -<param>:<value> configuration parameter and value.
% 0.14/0.35 -o:<output-file> file to place output in.
% 0.14/0.39 % SZS status Unsatisfiable
% 0.14/0.39 % SZS output start Proof
% See solution above
%------------------------------------------------------------------------------