TSTP Solution File: NLP266_23 by Leo-III-SAT---1.7.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Leo-III-SAT---1.7.12
% Problem : NLP266_23 : TPTP v8.2.0. Released v8.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n025.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 : Tue May 21 01:00:35 EDT 2024
% Result : Theorem 7.59s 3.28s
% Output : Refutation 7.66s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 26
% Syntax : Number of formulae : 84 ( 20 unt; 20 typ; 0 def)
% Number of atoms : 247 ( 8 equ; 0 cnn)
% Maximal formula atoms : 13 ( 3 avg)
% Number of connectives : 1195 ( 111 ~; 97 |; 33 &; 917 @)
% ( 0 <=>; 37 =>; 0 <=; 0 <~>)
% Maximal formula depth : 23 ( 13 avg)
% Number of types : 3 ( 1 usr)
% Number of type conns : 43 ( 43 >; 0 *; 0 +; 0 <<)
% Number of symbols : 22 ( 19 usr; 7 con; 0-4 aty)
% Number of variables : 243 ( 0 ^ 225 !; 18 ?; 243 :)
% Comments :
%------------------------------------------------------------------------------
thf('\'$ki_world\'_type',type,
'\'$ki_world\'': $tType ).
thf('\'$ki_local_world\'_type',type,
'\'$ki_local_world\'': '\'$ki_world\'' ).
thf('\'$ki_accessible\'_type',type,
'\'$ki_accessible\'': '\'$ki_world\'' > '\'$ki_world\'' > $o ).
thf(u_type,type,
u: $i ).
thf(one_type,type,
one: $i ).
thf(number_type,type,
number: '\'$ki_world\'' > $i > $i > $o ).
thf(string_type,type,
string: '\'$ki_world\'' > $i > $o ).
thf(in_type,type,
in: '\'$ki_world\'' > $i > $i > $i > $o ).
thf(do_type,type,
do: '\'$ki_world\'' > $i > $i > $i > $o ).
thf(entry_box_type,type,
entry_box: '\'$ki_world\'' > $i > $o ).
thf(userid_type,type,
userid: '\'$ki_world\'' > $i > $i > $o ).
thf('\'$ki_exists_in_world_$i\'_type',type,
'\'$ki_exists_in_world_$i\'': '\'$ki_world\'' > $i > $o ).
thf(sk1_type,type,
sk1: '\'$ki_world\'' ).
thf(sk2_type,type,
sk2: $i > $i > $i > $i > $o ).
thf(sk3_type,type,
sk3: $i > $i > $i > $i > '\'$ki_world\'' ).
thf(sk4_type,type,
sk4: $i > $i > $i > $i > '\'$ki_world\'' ).
thf(sk5_type,type,
sk5: $i > $i > $i > $i > $i ).
thf(sk7_type,type,
sk7: '\'$ki_world\'' > $i ).
thf(sk8_type,type,
sk8: $i ).
thf(sk9_type,type,
sk9: $i > $i > $i > '\'$ki_world\'' > $i ).
thf(1,conjecture,
! [A: '\'$ki_world\''] :
( ( '\'$ki_accessible\'' @ '\'$ki_local_world\'' @ A )
=> ? [B: $i] :
( ( '\'$ki_exists_in_world_$i\'' @ A @ B )
& ? [C: $i] :
( ( '\'$ki_exists_in_world_$i\'' @ A @ C )
& ? [D: $i] :
( ( '\'$ki_exists_in_world_$i\'' @ A @ D )
& ? [E: $i] :
( ( '\'$ki_exists_in_world_$i\'' @ A @ E )
& ! [F: '\'$ki_world\''] :
( ( '\'$ki_accessible\'' @ A @ F )
=> ( ( userid @ F @ u @ B )
& ( entry_box @ F @ C )
& ( number @ F @ C @ one ) ) )
& ! [F: '\'$ki_world\''] :
( ( '\'$ki_accessible\'' @ A @ F )
=> ! [G: $i] :
( ( '\'$ki_exists_in_world_$i\'' @ F @ G )
=> ( ( do @ F @ E @ D @ G )
=> ( in @ F @ B @ C @ G ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',verify) ).
thf(2,negated_conjecture,
~ ! [A: '\'$ki_world\''] :
( ( '\'$ki_accessible\'' @ '\'$ki_local_world\'' @ A )
=> ? [B: $i] :
( ( '\'$ki_exists_in_world_$i\'' @ A @ B )
& ? [C: $i] :
( ( '\'$ki_exists_in_world_$i\'' @ A @ C )
& ? [D: $i] :
( ( '\'$ki_exists_in_world_$i\'' @ A @ D )
& ? [E: $i] :
( ( '\'$ki_exists_in_world_$i\'' @ A @ E )
& ! [F: '\'$ki_world\''] :
( ( '\'$ki_accessible\'' @ A @ F )
=> ( ( userid @ F @ u @ B )
& ( entry_box @ F @ C )
& ( number @ F @ C @ one ) ) )
& ! [F: '\'$ki_world\''] :
( ( '\'$ki_accessible\'' @ A @ F )
=> ! [G: $i] :
( ( '\'$ki_exists_in_world_$i\'' @ F @ G )
=> ( ( do @ F @ E @ D @ G )
=> ( in @ F @ B @ C @ G ) ) ) ) ) ) ) ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(9,plain,
~ ! [A: '\'$ki_world\''] :
( ( '\'$ki_accessible\'' @ '\'$ki_local_world\'' @ A )
=> ? [B: $i] :
( ( '\'$ki_exists_in_world_$i\'' @ A @ B )
& ? [C: $i] :
( ( '\'$ki_exists_in_world_$i\'' @ A @ C )
& ? [D: $i] :
( ( '\'$ki_exists_in_world_$i\'' @ A @ D )
& ? [E: $i] :
( ( '\'$ki_exists_in_world_$i\'' @ A @ E )
& ! [F: '\'$ki_world\''] :
( ( '\'$ki_accessible\'' @ A @ F )
=> ( ( userid @ F @ u @ B )
& ( entry_box @ F @ C )
& ( number @ F @ C @ one ) ) )
& ! [F: '\'$ki_world\''] :
( ( '\'$ki_accessible\'' @ A @ F )
=> ! [G: $i] :
( ( '\'$ki_exists_in_world_$i\'' @ F @ G )
=> ( ( do @ F @ E @ D @ G )
=> ( in @ F @ B @ C @ G ) ) ) ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(13,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( '\'$ki_exists_in_world_$i\'' @ sk1 @ A )
| ~ ( '\'$ki_exists_in_world_$i\'' @ sk1 @ B )
| ~ ( '\'$ki_exists_in_world_$i\'' @ sk1 @ C )
| ~ ( '\'$ki_exists_in_world_$i\'' @ sk1 @ D )
| ( sk2 @ B @ A @ C @ D )
| ( do @ ( sk4 @ D @ C @ B @ A ) @ D @ C @ ( sk5 @ D @ C @ B @ A ) ) ),
inference(cnf,[status(esa)],[9]) ).
thf(4,axiom,
! [A: '\'$ki_world\'',B: $i] : ( '\'$ki_exists_in_world_$i\'' @ A @ B ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','$ki_exists_in_world_$i_const') ).
thf(19,plain,
! [A: '\'$ki_world\'',B: $i] : ( '\'$ki_exists_in_world_$i\'' @ A @ B ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(20,plain,
! [B: $i,A: '\'$ki_world\''] : ( '\'$ki_exists_in_world_$i\'' @ A @ B ),
inference(cnf,[status(esa)],[19]) ).
thf(87,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ $true
| ~ $true
| ~ $true
| ~ $true
| ( sk2 @ B @ A @ C @ D )
| ( do @ ( sk4 @ D @ C @ B @ A ) @ D @ C @ ( sk5 @ D @ C @ B @ A ) ) ),
inference(rewrite,[status(thm)],[13,20]) ).
thf(88,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk2 @ B @ A @ C @ D )
| ( do @ ( sk4 @ D @ C @ B @ A ) @ D @ C @ ( sk5 @ D @ C @ B @ A ) ) ),
inference(simp,[status(thm)],[87]) ).
thf(6,axiom,
! [A: '\'$ki_world\''] :
( ( '\'$ki_accessible\'' @ '\'$ki_local_world\'' @ A )
=> ? [B: $i] :
( ( '\'$ki_exists_in_world_$i\'' @ A @ B )
& ! [C: '\'$ki_world\''] :
( ( '\'$ki_accessible\'' @ A @ C )
=> ( ( userid @ C @ u @ B )
& ( string @ C @ B ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1) ).
thf(23,plain,
! [A: '\'$ki_world\''] :
( ( '\'$ki_accessible\'' @ '\'$ki_local_world\'' @ A )
=> ? [B: $i] :
( ( '\'$ki_exists_in_world_$i\'' @ A @ B )
& ! [C: '\'$ki_world\''] :
( ( '\'$ki_accessible\'' @ A @ C )
=> ( ( userid @ C @ u @ B )
& ( string @ C @ B ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(26,plain,
! [B: '\'$ki_world\'',A: '\'$ki_world\''] :
( ~ ( '\'$ki_accessible\'' @ '\'$ki_local_world\'' @ A )
| ~ ( '\'$ki_accessible\'' @ A @ B )
| ( userid @ B @ u @ ( sk7 @ A ) ) ),
inference(cnf,[status(esa)],[23]) ).
thf(3,axiom,
! [A: '\'$ki_world\'',B: '\'$ki_world\''] : ( '\'$ki_accessible\'' @ A @ B ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mrel_universal) ).
thf(17,plain,
! [A: '\'$ki_world\'',B: '\'$ki_world\''] : ( '\'$ki_accessible\'' @ A @ B ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(18,plain,
! [B: '\'$ki_world\'',A: '\'$ki_world\''] : ( '\'$ki_accessible\'' @ A @ B ),
inference(cnf,[status(esa)],[17]) ).
thf(76,plain,
! [B: '\'$ki_world\'',A: '\'$ki_world\''] :
( ~ $true
| ~ $true
| ( userid @ B @ u @ ( sk7 @ A ) ) ),
inference(rewrite,[status(thm)],[26,18]) ).
thf(77,plain,
! [B: '\'$ki_world\'',A: '\'$ki_world\''] : ( userid @ B @ u @ ( sk7 @ A ) ),
inference(simp,[status(thm)],[76]) ).
thf(7,axiom,
? [A: $i] :
( ( '\'$ki_exists_in_world_$i\'' @ '\'$ki_local_world\'' @ A )
& ! [B: '\'$ki_world\''] :
( ( '\'$ki_accessible\'' @ '\'$ki_local_world\'' @ B )
=> ( ( entry_box @ B @ A )
& ( number @ B @ A @ one ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2) ).
thf(27,plain,
? [A: $i] :
( ( '\'$ki_exists_in_world_$i\'' @ '\'$ki_local_world\'' @ A )
& ! [B: '\'$ki_world\''] :
( ( '\'$ki_accessible\'' @ '\'$ki_local_world\'' @ B )
=> ( ( entry_box @ B @ A )
& ( number @ B @ A @ one ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(29,plain,
! [A: '\'$ki_world\''] :
( ~ ( '\'$ki_accessible\'' @ '\'$ki_local_world\'' @ A )
| ( number @ A @ sk8 @ one ) ),
inference(cnf,[status(esa)],[27]) ).
thf(57,plain,
! [A: '\'$ki_world\''] :
( ~ $true
| ( number @ A @ sk8 @ one ) ),
inference(rewrite,[status(thm)],[29,18]) ).
thf(58,plain,
! [A: '\'$ki_world\''] : ( number @ A @ sk8 @ one ),
inference(simp,[status(thm)],[57]) ).
thf(10,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( '\'$ki_exists_in_world_$i\'' @ sk1 @ A )
| ~ ( '\'$ki_exists_in_world_$i\'' @ sk1 @ B )
| ~ ( '\'$ki_exists_in_world_$i\'' @ sk1 @ C )
| ~ ( '\'$ki_exists_in_world_$i\'' @ sk1 @ D )
| ~ ( userid @ ( sk3 @ D @ C @ B @ A ) @ u @ A )
| ~ ( entry_box @ ( sk3 @ D @ C @ B @ A ) @ B )
| ~ ( number @ ( sk3 @ D @ C @ B @ A ) @ B @ one )
| ~ ( sk2 @ B @ A @ C @ D ) ),
inference(cnf,[status(esa)],[9]) ).
thf(36,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ ( userid @ ( sk3 @ D @ C @ B @ A ) @ u @ A )
| ~ ( entry_box @ ( sk3 @ D @ C @ B @ A ) @ B )
| ~ ( number @ ( sk3 @ D @ C @ B @ A ) @ B @ one )
| ~ ( sk2 @ B @ A @ C @ D ) ),
inference(rewrite,[status(thm)],[10,20]) ).
thf(37,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( userid @ ( sk3 @ D @ C @ B @ A ) @ u @ A )
| ~ ( entry_box @ ( sk3 @ D @ C @ B @ A ) @ B )
| ~ ( number @ ( sk3 @ D @ C @ B @ A ) @ B @ one )
| ~ ( sk2 @ B @ A @ C @ D ) ),
inference(simp,[status(thm)],[36]) ).
thf(59,plain,
! [E: $i,D: $i,C: $i,B: $i,A: '\'$ki_world\''] :
( ~ ( userid @ ( sk3 @ E @ D @ C @ B ) @ u @ B )
| ~ ( entry_box @ ( sk3 @ E @ D @ C @ B ) @ C )
| ~ ( sk2 @ C @ B @ D @ E )
| ( ( number @ A @ sk8 @ one )
!= ( number @ ( sk3 @ E @ D @ C @ B ) @ C @ one ) ) ),
inference(paramod_ordered,[status(thm)],[58,37]) ).
thf(60,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( userid @ ( sk3 @ A @ B @ sk8 @ C ) @ u @ C )
| ~ ( entry_box @ ( sk3 @ A @ B @ sk8 @ C ) @ sk8 )
| ~ ( sk2 @ sk8 @ C @ B @ A ) ),
inference(pattern_uni,[status(thm)],[59:[bind(A,$thf( sk3 @ F @ G @ sk8 @ I )),bind(B,$thf( I )),bind(C,$thf( sk8 )),bind(D,$thf( G )),bind(E,$thf( F ))]]) ).
thf(61,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( userid @ ( sk3 @ A @ B @ sk8 @ C ) @ u @ C )
| ~ ( entry_box @ ( sk3 @ A @ B @ sk8 @ C ) @ sk8 )
| ~ ( sk2 @ sk8 @ C @ B @ A ) ),
inference(simp,[status(thm)],[60]) ).
thf(28,plain,
! [A: '\'$ki_world\''] :
( ~ ( '\'$ki_accessible\'' @ '\'$ki_local_world\'' @ A )
| ( entry_box @ A @ sk8 ) ),
inference(cnf,[status(esa)],[27]) ).
thf(49,plain,
! [A: '\'$ki_world\''] :
( ~ $true
| ( entry_box @ A @ sk8 ) ),
inference(rewrite,[status(thm)],[28,18]) ).
thf(50,plain,
! [A: '\'$ki_world\''] : ( entry_box @ A @ sk8 ),
inference(simp,[status(thm)],[49]) ).
thf(69,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( userid @ ( sk3 @ A @ B @ sk8 @ C ) @ u @ C )
| ~ $true
| ~ ( sk2 @ sk8 @ C @ B @ A ) ),
inference(rewrite,[status(thm)],[61,50]) ).
thf(70,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( userid @ ( sk3 @ A @ B @ sk8 @ C ) @ u @ C )
| ~ ( sk2 @ sk8 @ C @ B @ A ) ),
inference(simp,[status(thm)],[69]) ).
thf(80,plain,
! [E: $i,D: $i,C: $i,B: '\'$ki_world\'',A: '\'$ki_world\''] :
( ~ ( sk2 @ sk8 @ E @ D @ C )
| ( ( userid @ B @ u @ ( sk7 @ A ) )
!= ( userid @ ( sk3 @ C @ D @ sk8 @ E ) @ u @ E ) ) ),
inference(paramod_ordered,[status(thm)],[77,70]) ).
thf(81,plain,
! [C: '\'$ki_world\'',B: $i,A: $i] :
~ ( sk2 @ sk8 @ ( sk7 @ C ) @ B @ A ),
inference(pattern_uni,[status(thm)],[80:[bind(A,$thf( J )),bind(B,$thf( sk3 @ F @ G @ sk8 @ ( sk7 @ J ) )),bind(C,$thf( F )),bind(D,$thf( G )),bind(E,$thf( sk7 @ J ))]]) ).
thf(82,plain,
! [C: '\'$ki_world\'',B: $i,A: $i] :
~ ( sk2 @ sk8 @ ( sk7 @ C ) @ B @ A ),
inference(simp,[status(thm)],[81]) ).
thf(95,plain,
! [G: '\'$ki_world\'',F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( do @ ( sk4 @ D @ C @ B @ A ) @ D @ C @ ( sk5 @ D @ C @ B @ A ) )
| ( ( sk2 @ B @ A @ C @ D )
!= ( sk2 @ sk8 @ ( sk7 @ G ) @ F @ E ) ) ),
inference(paramod_ordered,[status(thm)],[88,82]) ).
thf(96,plain,
! [C: '\'$ki_world\'',B: $i,A: $i] : ( do @ ( sk4 @ B @ A @ sk8 @ ( sk7 @ C ) ) @ B @ A @ ( sk5 @ B @ A @ sk8 @ ( sk7 @ C ) ) ),
inference(pattern_uni,[status(thm)],[95:[bind(A,$thf( sk7 @ H )),bind(B,$thf( sk8 )),bind(C,$thf( C )),bind(D,$thf( D )),bind(E,$thf( D )),bind(F,$thf( C )),bind(G,$thf( H ))]]) ).
thf(97,plain,
! [C: '\'$ki_world\'',B: $i,A: $i] : ( do @ ( sk4 @ B @ A @ sk8 @ ( sk7 @ C ) ) @ B @ A @ ( sk5 @ B @ A @ sk8 @ ( sk7 @ C ) ) ),
inference(simp,[status(thm)],[96]) ).
thf(25,plain,
! [B: '\'$ki_world\'',A: '\'$ki_world\''] :
( ~ ( '\'$ki_accessible\'' @ '\'$ki_local_world\'' @ A )
| ~ ( '\'$ki_accessible\'' @ A @ B )
| ( string @ B @ ( sk7 @ A ) ) ),
inference(cnf,[status(esa)],[23]) ).
thf(64,plain,
! [B: '\'$ki_world\'',A: '\'$ki_world\''] :
( ~ $true
| ~ $true
| ( string @ B @ ( sk7 @ A ) ) ),
inference(rewrite,[status(thm)],[25,18]) ).
thf(65,plain,
! [B: '\'$ki_world\'',A: '\'$ki_world\''] : ( string @ B @ ( sk7 @ A ) ),
inference(simp,[status(thm)],[64]) ).
thf(8,axiom,
! [A: '\'$ki_world\''] :
( ( '\'$ki_accessible\'' @ '\'$ki_local_world\'' @ A )
=> ! [B: $i] :
( ( '\'$ki_exists_in_world_$i\'' @ A @ B )
=> ! [C: $i] :
( ( '\'$ki_exists_in_world_$i\'' @ A @ C )
=> ! [D: $i] :
( ( '\'$ki_exists_in_world_$i\'' @ A @ D )
=> ( ( ( string @ A @ C )
& ( entry_box @ A @ D ) )
=> ? [E: $i] :
( ( '\'$ki_exists_in_world_$i\'' @ A @ E )
& ! [F: '\'$ki_world\''] :
( ( '\'$ki_accessible\'' @ A @ F )
=> ! [G: $i] :
( ( '\'$ki_exists_in_world_$i\'' @ F @ G )
=> ( ( do @ F @ B @ E @ G )
=> ( in @ F @ C @ D @ G ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax3) ).
thf(31,plain,
! [A: '\'$ki_world\''] :
( ( '\'$ki_accessible\'' @ '\'$ki_local_world\'' @ A )
=> ! [B: $i] :
( ( '\'$ki_exists_in_world_$i\'' @ A @ B )
=> ! [C: $i] :
( ( '\'$ki_exists_in_world_$i\'' @ A @ C )
=> ! [D: $i] :
( ( '\'$ki_exists_in_world_$i\'' @ A @ D )
=> ( ( ( string @ A @ C )
& ( entry_box @ A @ D ) )
=> ? [E: $i] :
( ( '\'$ki_exists_in_world_$i\'' @ A @ E )
& ! [F: '\'$ki_world\''] :
( ( '\'$ki_accessible\'' @ A @ F )
=> ! [G: $i] :
( ( '\'$ki_exists_in_world_$i\'' @ F @ G )
=> ( ( do @ F @ B @ E @ G )
=> ( in @ F @ C @ D @ G ) ) ) ) ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).
thf(33,plain,
! [F: $i,E: '\'$ki_world\'',D: $i,C: $i,B: $i,A: '\'$ki_world\''] :
( ~ ( '\'$ki_accessible\'' @ '\'$ki_local_world\'' @ A )
| ~ ( '\'$ki_exists_in_world_$i\'' @ A @ B )
| ~ ( '\'$ki_exists_in_world_$i\'' @ A @ C )
| ~ ( '\'$ki_exists_in_world_$i\'' @ A @ D )
| ~ ( string @ A @ C )
| ~ ( entry_box @ A @ D )
| ~ ( '\'$ki_accessible\'' @ A @ E )
| ~ ( '\'$ki_exists_in_world_$i\'' @ E @ F )
| ~ ( do @ E @ B @ ( sk9 @ D @ C @ B @ A ) @ F )
| ( in @ E @ C @ D @ F ) ),
inference(cnf,[status(esa)],[31]) ).
thf(38,plain,
! [F: $i,E: '\'$ki_world\'',D: $i,C: $i,B: $i,A: '\'$ki_world\''] :
( ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ ( string @ A @ C )
| ~ ( entry_box @ A @ D )
| ~ $true
| ~ $true
| ~ ( do @ E @ B @ ( sk9 @ D @ C @ B @ A ) @ F )
| ( in @ E @ C @ D @ F ) ),
inference(rewrite,[status(thm)],[33,18,20]) ).
thf(39,plain,
! [F: $i,E: '\'$ki_world\'',D: $i,C: $i,B: $i,A: '\'$ki_world\''] :
( ~ ( string @ A @ C )
| ~ ( entry_box @ A @ D )
| ~ ( do @ E @ B @ ( sk9 @ D @ C @ B @ A ) @ F )
| ( in @ E @ C @ D @ F ) ),
inference(simp,[status(thm)],[38]) ).
thf(53,plain,
! [G: $i,F: '\'$ki_world\'',E: $i,D: $i,C: $i,B: '\'$ki_world\'',A: '\'$ki_world\''] :
( ~ ( string @ B @ D )
| ~ ( do @ F @ C @ ( sk9 @ E @ D @ C @ B ) @ G )
| ( in @ F @ D @ E @ G )
| ( ( entry_box @ A @ sk8 )
!= ( entry_box @ B @ E ) ) ),
inference(paramod_ordered,[status(thm)],[50,39]) ).
thf(54,plain,
! [E: $i,D: '\'$ki_world\'',C: $i,B: $i,A: '\'$ki_world\''] :
( ~ ( string @ A @ C )
| ~ ( do @ D @ B @ ( sk9 @ sk8 @ C @ B @ A ) @ E )
| ( in @ D @ C @ sk8 @ E ) ),
inference(pattern_uni,[status(thm)],[53:[bind(A,$thf( A )),bind(B,$thf( A )),bind(C,$thf( C )),bind(D,$thf( D )),bind(E,$thf( sk8 ))]]) ).
thf(56,plain,
! [E: $i,D: '\'$ki_world\'',C: $i,B: $i,A: '\'$ki_world\''] :
( ~ ( string @ A @ C )
| ~ ( do @ D @ B @ ( sk9 @ sk8 @ C @ B @ A ) @ E )
| ( in @ D @ C @ sk8 @ E ) ),
inference(simp,[status(thm)],[54]) ).
thf(138,plain,
! [G: $i,F: '\'$ki_world\'',E: $i,D: $i,C: '\'$ki_world\'',B: '\'$ki_world\'',A: '\'$ki_world\''] :
( ~ ( do @ F @ D @ ( sk9 @ sk8 @ E @ D @ C ) @ G )
| ( in @ F @ E @ sk8 @ G )
| ( ( string @ B @ ( sk7 @ A ) )
!= ( string @ C @ E ) ) ),
inference(paramod_ordered,[status(thm)],[65,56]) ).
thf(139,plain,
! [E: '\'$ki_world\'',D: $i,C: '\'$ki_world\'',B: $i,A: '\'$ki_world\''] :
( ~ ( do @ C @ B @ ( sk9 @ sk8 @ ( sk7 @ E ) @ B @ A ) @ D )
| ( in @ C @ ( sk7 @ E ) @ sk8 @ D ) ),
inference(pattern_uni,[status(thm)],[138:[bind(A,$thf( H )),bind(B,$thf( B )),bind(C,$thf( B )),bind(D,$thf( D )),bind(E,$thf( sk7 @ H ))]]) ).
thf(148,plain,
! [E: '\'$ki_world\'',D: $i,C: '\'$ki_world\'',B: $i,A: '\'$ki_world\''] :
( ~ ( do @ C @ B @ ( sk9 @ sk8 @ ( sk7 @ E ) @ B @ A ) @ D )
| ( in @ C @ ( sk7 @ E ) @ sk8 @ D ) ),
inference(simp,[status(thm)],[139]) ).
thf(153,plain,
! [H: '\'$ki_world\'',G: $i,F: '\'$ki_world\'',E: $i,D: '\'$ki_world\'',C: '\'$ki_world\'',B: $i,A: $i] :
( ( in @ F @ ( sk7 @ H ) @ sk8 @ G )
| ( ( do @ ( sk4 @ B @ A @ sk8 @ ( sk7 @ C ) ) @ B @ A @ ( sk5 @ B @ A @ sk8 @ ( sk7 @ C ) ) )
!= ( do @ F @ E @ ( sk9 @ sk8 @ ( sk7 @ H ) @ E @ D ) @ G ) ) ),
inference(paramod_ordered,[status(thm)],[97,148]) ).
thf(154,plain,
! [D: '\'$ki_world\'',C: '\'$ki_world\'',B: '\'$ki_world\'',A: $i] : ( in @ ( sk4 @ A @ ( sk9 @ sk8 @ ( sk7 @ C ) @ A @ B ) @ sk8 @ ( sk7 @ D ) ) @ ( sk7 @ C ) @ sk8 @ ( sk5 @ A @ ( sk9 @ sk8 @ ( sk7 @ C ) @ A @ B ) @ sk8 @ ( sk7 @ D ) ) ),
inference(pattern_uni,[status(thm)],[153:[bind(A,$thf( sk9 @ sk8 @ ( sk7 @ ZA ) @ Y @ Z )),bind(B,$thf( Y )),bind(C,$thf( ZB )),bind(D,$thf( Z )),bind(E,$thf( Y )),bind(F,$thf( sk4 @ Y @ ( sk9 @ sk8 @ ( sk7 @ ZA ) @ Y @ Z ) @ sk8 @ ( sk7 @ ZB ) )),bind(G,$thf( sk5 @ Y @ ( sk9 @ sk8 @ ( sk7 @ ZA ) @ Y @ Z ) @ sk8 @ ( sk7 @ ZB ) )),bind(H,$thf( ZA ))]]) ).
thf(160,plain,
! [D: '\'$ki_world\'',C: '\'$ki_world\'',B: '\'$ki_world\'',A: $i] : ( in @ ( sk4 @ A @ ( sk9 @ sk8 @ ( sk7 @ C ) @ A @ B ) @ sk8 @ ( sk7 @ D ) ) @ ( sk7 @ C ) @ sk8 @ ( sk5 @ A @ ( sk9 @ sk8 @ ( sk7 @ C ) @ A @ B ) @ sk8 @ ( sk7 @ D ) ) ),
inference(simp,[status(thm)],[154]) ).
thf(11,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( '\'$ki_exists_in_world_$i\'' @ sk1 @ A )
| ~ ( '\'$ki_exists_in_world_$i\'' @ sk1 @ B )
| ~ ( '\'$ki_exists_in_world_$i\'' @ sk1 @ C )
| ~ ( '\'$ki_exists_in_world_$i\'' @ sk1 @ D )
| ( sk2 @ B @ A @ C @ D )
| ~ ( in @ ( sk4 @ D @ C @ B @ A ) @ A @ B @ ( sk5 @ D @ C @ B @ A ) ) ),
inference(cnf,[status(esa)],[9]) ).
thf(45,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ $true
| ~ $true
| ~ $true
| ~ $true
| ( sk2 @ B @ A @ C @ D )
| ~ ( in @ ( sk4 @ D @ C @ B @ A ) @ A @ B @ ( sk5 @ D @ C @ B @ A ) ) ),
inference(rewrite,[status(thm)],[11,20]) ).
thf(46,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( sk2 @ B @ A @ C @ D )
| ~ ( in @ ( sk4 @ D @ C @ B @ A ) @ A @ B @ ( sk5 @ D @ C @ B @ A ) ) ),
inference(simp,[status(thm)],[45]) ).
thf(84,plain,
! [G: '\'$ki_world\'',F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( in @ ( sk4 @ D @ C @ B @ A ) @ A @ B @ ( sk5 @ D @ C @ B @ A ) )
| ( ( sk2 @ B @ A @ C @ D )
!= ( sk2 @ sk8 @ ( sk7 @ G ) @ F @ E ) ) ),
inference(paramod_ordered,[status(thm)],[46,82]) ).
thf(85,plain,
! [C: '\'$ki_world\'',B: $i,A: $i] :
~ ( in @ ( sk4 @ B @ A @ sk8 @ ( sk7 @ C ) ) @ ( sk7 @ C ) @ sk8 @ ( sk5 @ B @ A @ sk8 @ ( sk7 @ C ) ) ),
inference(pattern_uni,[status(thm)],[84:[bind(A,$thf( sk7 @ H )),bind(B,$thf( sk8 )),bind(C,$thf( C )),bind(D,$thf( D )),bind(E,$thf( D )),bind(F,$thf( C )),bind(G,$thf( H ))]]) ).
thf(86,plain,
! [C: '\'$ki_world\'',B: $i,A: $i] :
~ ( in @ ( sk4 @ B @ A @ sk8 @ ( sk7 @ C ) ) @ ( sk7 @ C ) @ sk8 @ ( sk5 @ B @ A @ sk8 @ ( sk7 @ C ) ) ),
inference(simp,[status(thm)],[85]) ).
thf(165,plain,
! [G: '\'$ki_world\'',F: $i,E: $i,D: '\'$ki_world\'',C: '\'$ki_world\'',B: '\'$ki_world\'',A: $i] :
( ( in @ ( sk4 @ A @ ( sk9 @ sk8 @ ( sk7 @ C ) @ A @ B ) @ sk8 @ ( sk7 @ D ) ) @ ( sk7 @ C ) @ sk8 @ ( sk5 @ A @ ( sk9 @ sk8 @ ( sk7 @ C ) @ A @ B ) @ sk8 @ ( sk7 @ D ) ) )
!= ( in @ ( sk4 @ F @ E @ sk8 @ ( sk7 @ G ) ) @ ( sk7 @ G ) @ sk8 @ ( sk5 @ F @ E @ sk8 @ ( sk7 @ G ) ) ) ),
inference(paramod_ordered,[status(thm)],[160,86]) ).
thf(166,plain,
$false,
inference(pattern_uni,[status(thm)],[165:[bind(A,$thf( J )),bind(B,$thf( K )),bind(C,$thf( L )),bind(D,$thf( L )),bind(E,$thf( sk9 @ sk8 @ ( sk7 @ L ) @ J @ K )),bind(F,$thf( J )),bind(G,$thf( L ))]]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.10 % Problem : NLP266_23 : TPTP v8.2.0. Released v8.2.0.
% 0.09/0.12 % Command : run_Leo-III %s %d
% 0.12/0.33 % Computer : n025.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 : 300
% 0.12/0.33 % DateTime : Sun May 19 22:12:09 EDT 2024
% 0.12/0.33 % CPUTime :
% 1.08/1.01 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.39/1.24 % [INFO] Parsing done (227ms).
% 1.50/1.26 % [INFO] Running in sequential loop mode.
% 2.12/1.65 % [INFO] nitpick registered as external prover.
% 2.12/1.65 % [INFO] Scanning for conjecture ...
% 2.42/1.78 % [INFO] Found a conjecture (or negated_conjecture) and 6 axioms. Running axiom selection ...
% 2.55/1.84 % [INFO] Axiom selection finished. Selected 6 axioms (removed 0 axioms).
% 2.58/1.86 % [INFO] Problem is typed first-order (TPTP TFF).
% 2.58/1.87 % [INFO] Type checking passed.
% 2.58/1.88 % [CONFIG] Using configuration: timeout(300) with strategy<name(default),share(1.0),primSubst(3),sos(false),unifierCount(4),uniDepth(8),boolExt(true),choice(true),renaming(true),funcspec(false), domConstr(0),specialInstances(39),restrictUniAttempts(true),termOrdering(CPO)>. Searching for refutation ...
% 7.59/3.27 % [INFO] Killing All external provers ...
% 7.59/3.28 % Time passed: 2790ms (effective reasoning time: 2008ms)
% 7.59/3.28 % Solved by strategy<name(default),share(1.0),primSubst(3),sos(false),unifierCount(4),uniDepth(8),boolExt(true),choice(true),renaming(true),funcspec(false), domConstr(0),specialInstances(39),restrictUniAttempts(true),termOrdering(CPO)>
% 7.59/3.28 % Axioms used in derivation (5): ax1, mrel_universal, ax2, $ki_exists_in_world_$i_const, ax3
% 7.59/3.28 % No. of inferences in proof: 64
% 7.59/3.28 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 2790 ms resp. 2008 ms w/o parsing
% 7.66/3.40 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 7.66/3.40 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------