TSTP Solution File: PUZ128+2 by Leo-III-SAT---1.7.10
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- Process Solution
%------------------------------------------------------------------------------
% File : Leo-III-SAT---1.7.10
% Problem : PUZ128+2 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n023.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 7 10:47:16 EDT 2024
% Result : Theorem 51.26s 8.54s
% Output : Refutation 51.42s
% Verified :
% SZS Type : Refutation
% Derivation depth : 29
% Number of leaves : 16
% Syntax : Number of formulae : 96 ( 30 unt; 14 typ; 0 def)
% Number of atoms : 336 ( 79 equ; 0 cnn)
% Maximal formula atoms : 16 ( 4 avg)
% Number of connectives : 1033 ( 185 ~; 159 |; 79 &; 610 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 24 ( 8 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 9 ( 9 >; 0 *; 0 +; 0 <<)
% Number of symbols : 17 ( 14 usr; 12 con; 0-4 aty)
% Number of variables : 88 ( 0 ^ 50 !; 38 ?; 88 :)
% Comments :
%------------------------------------------------------------------------------
thf(parent_type,type,
parent: $i > $o ).
thf(patricide_type,type,
patricide: $i > $o ).
thf(relation_type,type,
relation: $i > $i > $i > $o ).
thf(of_type,type,
of: $i ).
thf('\'Iokaste\'_type',type,
'\'Iokaste\'': $i ).
thf('\'Oedipus\'_type',type,
'\'Oedipus\'': $i ).
thf('\'Polyneikes\'_type',type,
'\'Polyneikes\'': $i ).
thf('\'Thersandros\'_type',type,
'\'Thersandros\'': $i ).
thf(sk1_type,type,
sk1: $i > $i > $i > $i > $i ).
thf(sk2_type,type,
sk2: $i ).
thf(sk3_type,type,
sk3: $i ).
thf(sk4_type,type,
sk4: $i ).
thf(sk5_type,type,
sk5: $i ).
thf(sk6_type,type,
sk6: $i ).
thf(3,axiom,
? [A: $i,B: $i,C: $i,D: $i,E: $i] :
( ( parent @ A )
& ( relation @ A @ of @ '\'Oedipus\'' )
& ( '\'Iokaste\'' = A )
& ( parent @ B )
& ( relation @ B @ of @ '\'Polyneikes\'' )
& ( '\'Iokaste\'' = B )
& ( parent @ C )
& ( relation @ C @ of @ '\'Polyneikes\'' )
& ( '\'Oedipus\'' = C )
& ( parent @ D )
& ( relation @ D @ of @ '\'Thersandros\'' )
& ( '\'Polyneikes\'' = D )
& ( patricide @ E )
& ( '\'Oedipus\'' = E )
& ~ ? [F: $i] :
( ( patricide @ F )
& ( '\'Thersandros\'' = F ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',background) ).
thf(12,plain,
? [A: $i,B: $i,C: $i,D: $i,E: $i] :
( ( parent @ A )
& ( relation @ A @ of @ '\'Oedipus\'' )
& ( '\'Iokaste\'' = A )
& ( parent @ B )
& ( relation @ B @ of @ '\'Polyneikes\'' )
& ( '\'Iokaste\'' = B )
& ( parent @ C )
& ( relation @ C @ of @ '\'Polyneikes\'' )
& ( '\'Oedipus\'' = C )
& ( parent @ D )
& ( relation @ D @ of @ '\'Thersandros\'' )
& ( '\'Polyneikes\'' = D )
& ( patricide @ E )
& ( '\'Oedipus\'' = E )
& ~ ? [F: $i] :
( ( patricide @ F )
& ( '\'Thersandros\'' = F ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(13,plain,
? [A: $i] :
( ( parent @ A )
& ( relation @ A @ of @ '\'Oedipus\'' )
& ( '\'Iokaste\'' = A )
& ? [B: $i] :
( ( parent @ B )
& ( relation @ B @ of @ '\'Polyneikes\'' )
& ( '\'Iokaste\'' = B )
& ? [C: $i] :
( ( parent @ C )
& ( relation @ C @ of @ '\'Polyneikes\'' )
& ( '\'Oedipus\'' = C )
& ? [D: $i] :
( ( parent @ D )
& ( relation @ D @ of @ '\'Thersandros\'' )
& ( '\'Polyneikes\'' = D )
& ? [E: $i] :
( ( patricide @ E )
& ( '\'Oedipus\'' = E )
& ~ ? [F: $i] :
( ( patricide @ F )
& ( '\'Thersandros\'' = F ) ) ) ) ) ) ),
inference(miniscope,[status(thm)],[12]) ).
thf(24,plain,
patricide @ sk6,
inference(cnf,[status(esa)],[13]) ).
thf(1,conjecture,
? [A: $i,B: $i,C: $i,D: $i] :
( ( parent @ A )
& ( patricide @ B )
& ( parent @ C )
& $true
& ~ ? [E: $i] :
( ( patricide @ E )
& ( D = E ) )
& ( relation @ C @ of @ D )
& ( B = C )
& ( relation @ A @ of @ B )
& ( '\'Iokaste\'' = A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove) ).
thf(2,negated_conjecture,
~ ? [A: $i,B: $i,C: $i,D: $i] :
( ( parent @ A )
& ( patricide @ B )
& ( parent @ C )
& $true
& ~ ? [E: $i] :
( ( patricide @ E )
& ( D = E ) )
& ( relation @ C @ of @ D )
& ( B = C )
& ( relation @ A @ of @ B )
& ( '\'Iokaste\'' = A ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(4,plain,
~ ? [A: $i,B: $i,C: $i,D: $i] :
( ( parent @ A )
& ( patricide @ B )
& ( parent @ C )
& ~ ? [E: $i] :
( ( patricide @ E )
& ( D = E ) )
& ( relation @ C @ of @ D )
& ( B = C )
& ( relation @ A @ of @ B )
& ( '\'Iokaste\'' = A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(5,plain,
~ ? [A: $i] :
( ( parent @ A )
& ? [B: $i] :
( ( patricide @ B )
& ? [C: $i] :
( ( parent @ C )
& ? [D: $i] :
( ~ ? [E: $i] :
( ( patricide @ E )
& ( D = E ) )
& ( relation @ C @ of @ D )
& ( B = C )
& ( relation @ A @ of @ B )
& ( '\'Iokaste\'' = A ) ) ) ) ),
inference(miniscope,[status(thm)],[4]) ).
thf(6,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( parent @ A )
| ~ ( patricide @ B )
| ~ ( parent @ C )
| ( D
= ( sk1 @ D @ C @ B @ A ) )
| ~ ( relation @ C @ of @ D )
| ( B != C )
| ~ ( relation @ A @ of @ B )
| ( '\'Iokaste\'' != A ) ),
inference(cnf,[status(esa)],[5]) ).
thf(8,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( ( sk1 @ D @ C @ B @ A )
= D )
| ( B != C )
| ( '\'Iokaste\'' != A )
| ~ ( parent @ A )
| ~ ( patricide @ B )
| ~ ( parent @ C )
| ~ ( relation @ C @ of @ D )
| ~ ( relation @ A @ of @ B ) ),
inference(lifteq,[status(thm)],[6]) ).
thf(9,plain,
! [B: $i,A: $i] :
( ( ( sk1 @ B @ A @ A @ '\'Iokaste\'' )
= B )
| ~ ( parent @ '\'Iokaste\'' )
| ~ ( patricide @ A )
| ~ ( parent @ A )
| ~ ( relation @ A @ of @ B )
| ~ ( relation @ '\'Iokaste\'' @ of @ A ) ),
inference(simp,[status(thm)],[8]) ).
thf(105,plain,
! [B: $i,A: $i] :
( ( ( sk1 @ B @ A @ A @ '\'Iokaste\'' )
= B )
| ~ ( parent @ '\'Iokaste\'' )
| ~ ( parent @ A )
| ~ ( relation @ A @ of @ B )
| ~ ( relation @ '\'Iokaste\'' @ of @ A )
| ( ( patricide @ sk6 )
!= ( patricide @ A ) ) ),
inference(paramod_ordered,[status(thm)],[24,9]) ).
thf(106,plain,
! [A: $i] :
( ( ( sk1 @ A @ sk6 @ sk6 @ '\'Iokaste\'' )
= A )
| ~ ( parent @ '\'Iokaste\'' )
| ~ ( parent @ sk6 )
| ~ ( relation @ sk6 @ of @ A )
| ~ ( relation @ '\'Iokaste\'' @ of @ sk6 ) ),
inference(pattern_uni,[status(thm)],[105:[bind(A,$thf( sk6 ))]]) ).
thf(118,plain,
! [A: $i] :
( ( ( sk1 @ A @ sk6 @ sk6 @ '\'Iokaste\'' )
= A )
| ~ ( parent @ '\'Iokaste\'' )
| ~ ( parent @ sk6 )
| ~ ( relation @ sk6 @ of @ A )
| ~ ( relation @ '\'Iokaste\'' @ of @ sk6 ) ),
inference(simp,[status(thm)],[106]) ).
thf(14,plain,
'\'Oedipus\'' = sk6,
inference(cnf,[status(esa)],[13]) ).
thf(29,plain,
sk6 = '\'Oedipus\'',
inference(lifteq,[status(thm)],[14]) ).
thf(20,plain,
parent @ sk3,
inference(cnf,[status(esa)],[13]) ).
thf(19,plain,
'\'Iokaste\'' = sk3,
inference(cnf,[status(esa)],[13]) ).
thf(33,plain,
sk3 = '\'Iokaste\'',
inference(lifteq,[status(thm)],[19]) ).
thf(125,plain,
parent @ '\'Iokaste\'',
inference(rewrite,[status(thm)],[20,33]) ).
thf(6013,plain,
! [A: $i] :
( ( ( sk1 @ A @ '\'Oedipus\'' @ '\'Oedipus\'' @ '\'Iokaste\'' )
= A )
| ~ $true
| ~ ( parent @ '\'Oedipus\'' )
| ~ ( relation @ '\'Oedipus\'' @ of @ A )
| ~ ( relation @ '\'Iokaste\'' @ of @ '\'Oedipus\'' ) ),
inference(rewrite,[status(thm)],[118,29,125]) ).
thf(6014,plain,
! [A: $i] :
( ( ( sk1 @ A @ '\'Oedipus\'' @ '\'Oedipus\'' @ '\'Iokaste\'' )
= A )
| ~ ( parent @ '\'Oedipus\'' )
| ~ ( relation @ '\'Oedipus\'' @ of @ A )
| ~ ( relation @ '\'Iokaste\'' @ of @ '\'Oedipus\'' ) ),
inference(simp,[status(thm)],[6013]) ).
thf(25,plain,
relation @ sk4 @ of @ '\'Polyneikes\'',
inference(cnf,[status(esa)],[13]) ).
thf(15,plain,
'\'Oedipus\'' = sk4,
inference(cnf,[status(esa)],[13]) ).
thf(34,plain,
sk4 = '\'Oedipus\'',
inference(lifteq,[status(thm)],[15]) ).
thf(234,plain,
relation @ '\'Oedipus\'' @ of @ '\'Polyneikes\'',
inference(rewrite,[status(thm)],[25,34]) ).
thf(7,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( parent @ A )
| ~ ( patricide @ B )
| ~ ( parent @ C )
| ( patricide @ ( sk1 @ D @ C @ B @ A ) )
| ~ ( relation @ C @ of @ D )
| ( B != C )
| ~ ( relation @ A @ of @ B )
| ( '\'Iokaste\'' != A ) ),
inference(cnf,[status(esa)],[5]) ).
thf(10,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( B != C )
| ( '\'Iokaste\'' != A )
| ~ ( parent @ A )
| ~ ( patricide @ B )
| ~ ( parent @ C )
| ( patricide @ ( sk1 @ D @ C @ B @ A ) )
| ~ ( relation @ C @ of @ D )
| ~ ( relation @ A @ of @ B ) ),
inference(lifteq,[status(thm)],[7]) ).
thf(11,plain,
! [B: $i,A: $i] :
( ~ ( parent @ '\'Iokaste\'' )
| ~ ( patricide @ A )
| ~ ( parent @ A )
| ( patricide @ ( sk1 @ B @ A @ A @ '\'Iokaste\'' ) )
| ~ ( relation @ A @ of @ B )
| ~ ( relation @ '\'Iokaste\'' @ of @ A ) ),
inference(simp,[status(thm)],[10]) ).
thf(49,plain,
! [B: $i,A: $i] :
( ~ ( parent @ '\'Iokaste\'' )
| ~ ( parent @ A )
| ( patricide @ ( sk1 @ B @ A @ A @ '\'Iokaste\'' ) )
| ~ ( relation @ A @ of @ B )
| ~ ( relation @ '\'Iokaste\'' @ of @ A )
| ( ( patricide @ sk6 )
!= ( patricide @ A ) ) ),
inference(paramod_ordered,[status(thm)],[24,11]) ).
thf(50,plain,
! [A: $i] :
( ~ ( parent @ '\'Iokaste\'' )
| ~ ( parent @ sk6 )
| ( patricide @ ( sk1 @ A @ sk6 @ sk6 @ '\'Iokaste\'' ) )
| ~ ( relation @ sk6 @ of @ A )
| ~ ( relation @ '\'Iokaste\'' @ of @ sk6 ) ),
inference(pattern_uni,[status(thm)],[49:[bind(A,$thf( sk6 ))]]) ).
thf(66,plain,
! [A: $i] :
( ~ ( parent @ '\'Iokaste\'' )
| ~ ( parent @ sk6 )
| ( patricide @ ( sk1 @ A @ sk6 @ sk6 @ '\'Iokaste\'' ) )
| ~ ( relation @ sk6 @ of @ A )
| ~ ( relation @ '\'Iokaste\'' @ of @ sk6 ) ),
inference(simp,[status(thm)],[50]) ).
thf(1802,plain,
! [A: $i] :
( ~ $true
| ~ ( parent @ '\'Oedipus\'' )
| ( patricide @ ( sk1 @ A @ '\'Oedipus\'' @ '\'Oedipus\'' @ '\'Iokaste\'' ) )
| ~ ( relation @ '\'Oedipus\'' @ of @ A )
| ~ ( relation @ '\'Iokaste\'' @ of @ '\'Oedipus\'' ) ),
inference(rewrite,[status(thm)],[66,29,125]) ).
thf(1803,plain,
! [A: $i] :
( ~ ( parent @ '\'Oedipus\'' )
| ( patricide @ ( sk1 @ A @ '\'Oedipus\'' @ '\'Oedipus\'' @ '\'Iokaste\'' ) )
| ~ ( relation @ '\'Oedipus\'' @ of @ A )
| ~ ( relation @ '\'Iokaste\'' @ of @ '\'Oedipus\'' ) ),
inference(simp,[status(thm)],[1802]) ).
thf(1811,plain,
! [A: $i] :
( ~ ( parent @ '\'Oedipus\'' )
| ( patricide @ ( sk1 @ A @ '\'Oedipus\'' @ '\'Oedipus\'' @ '\'Iokaste\'' ) )
| ~ ( relation @ '\'Iokaste\'' @ of @ '\'Oedipus\'' )
| ( ( relation @ '\'Oedipus\'' @ of @ '\'Polyneikes\'' )
!= ( relation @ '\'Oedipus\'' @ of @ A ) ) ),
inference(paramod_ordered,[status(thm)],[234,1803]) ).
thf(1812,plain,
( ~ ( parent @ '\'Oedipus\'' )
| ( patricide @ ( sk1 @ '\'Polyneikes\'' @ '\'Oedipus\'' @ '\'Oedipus\'' @ '\'Iokaste\'' ) )
| ~ ( relation @ '\'Iokaste\'' @ of @ '\'Oedipus\'' ) ),
inference(pattern_uni,[status(thm)],[1811:[bind(A,$thf( '\'Polyneikes\'' ))]]) ).
thf(23,plain,
relation @ sk2 @ of @ '\'Oedipus\'',
inference(cnf,[status(esa)],[13]) ).
thf(21,plain,
'\'Iokaste\'' = sk2,
inference(cnf,[status(esa)],[13]) ).
thf(35,plain,
sk2 = '\'Iokaste\'',
inference(lifteq,[status(thm)],[21]) ).
thf(161,plain,
relation @ '\'Iokaste\'' @ of @ '\'Oedipus\'',
inference(rewrite,[status(thm)],[23,35]) ).
thf(16,plain,
parent @ sk4,
inference(cnf,[status(esa)],[13]) ).
thf(126,plain,
parent @ '\'Oedipus\'',
inference(rewrite,[status(thm)],[16,34]) ).
thf(2348,plain,
( ~ $true
| ( patricide @ ( sk1 @ '\'Polyneikes\'' @ '\'Oedipus\'' @ '\'Oedipus\'' @ '\'Iokaste\'' ) )
| ~ $true ),
inference(rewrite,[status(thm)],[1812,161,126]) ).
thf(2349,plain,
patricide @ ( sk1 @ '\'Polyneikes\'' @ '\'Oedipus\'' @ '\'Oedipus\'' @ '\'Iokaste\'' ),
inference(simp,[status(thm)],[2348]) ).
thf(22,plain,
parent @ sk5,
inference(cnf,[status(esa)],[13]) ).
thf(95,plain,
! [B: $i,A: $i] :
( ( ( sk1 @ B @ A @ A @ '\'Iokaste\'' )
= B )
| ~ ( parent @ '\'Iokaste\'' )
| ~ ( patricide @ A )
| ~ ( relation @ A @ of @ B )
| ~ ( relation @ '\'Iokaste\'' @ of @ A )
| ( ( parent @ sk5 )
!= ( parent @ A ) ) ),
inference(paramod_ordered,[status(thm)],[22,9]) ).
thf(96,plain,
! [A: $i] :
( ( ( sk1 @ A @ sk5 @ sk5 @ '\'Iokaste\'' )
= A )
| ~ ( parent @ '\'Iokaste\'' )
| ~ ( patricide @ sk5 )
| ~ ( relation @ sk5 @ of @ A )
| ~ ( relation @ '\'Iokaste\'' @ of @ sk5 ) ),
inference(pattern_uni,[status(thm)],[95:[bind(A,$thf( sk5 ))]]) ).
thf(114,plain,
! [A: $i] :
( ( ( sk1 @ A @ sk5 @ sk5 @ '\'Iokaste\'' )
= A )
| ~ ( parent @ '\'Iokaste\'' )
| ~ ( patricide @ sk5 )
| ~ ( relation @ sk5 @ of @ A )
| ~ ( relation @ '\'Iokaste\'' @ of @ sk5 ) ),
inference(simp,[status(thm)],[96]) ).
thf(18,plain,
'\'Polyneikes\'' = sk5,
inference(cnf,[status(esa)],[13]) ).
thf(32,plain,
sk5 = '\'Polyneikes\'',
inference(lifteq,[status(thm)],[18]) ).
thf(4258,plain,
! [A: $i] :
( ( ( sk1 @ A @ '\'Polyneikes\'' @ '\'Polyneikes\'' @ '\'Iokaste\'' )
= A )
| ~ $true
| ~ ( patricide @ '\'Polyneikes\'' )
| ~ ( relation @ '\'Polyneikes\'' @ of @ A )
| ~ ( relation @ '\'Iokaste\'' @ of @ '\'Polyneikes\'' ) ),
inference(rewrite,[status(thm)],[114,32,125]) ).
thf(4259,plain,
! [A: $i] :
( ( ( sk1 @ A @ '\'Polyneikes\'' @ '\'Polyneikes\'' @ '\'Iokaste\'' )
= A )
| ~ ( patricide @ '\'Polyneikes\'' )
| ~ ( relation @ '\'Polyneikes\'' @ of @ A )
| ~ ( relation @ '\'Iokaste\'' @ of @ '\'Polyneikes\'' ) ),
inference(simp,[status(thm)],[4258]) ).
thf(26,plain,
relation @ sk5 @ of @ '\'Thersandros\'',
inference(cnf,[status(esa)],[13]) ).
thf(241,plain,
relation @ '\'Polyneikes\'' @ of @ '\'Thersandros\'',
inference(rewrite,[status(thm)],[26,32]) ).
thf(45,plain,
! [B: $i,A: $i] :
( ~ ( parent @ '\'Iokaste\'' )
| ~ ( patricide @ A )
| ( patricide @ ( sk1 @ B @ A @ A @ '\'Iokaste\'' ) )
| ~ ( relation @ A @ of @ B )
| ~ ( relation @ '\'Iokaste\'' @ of @ A )
| ( ( parent @ sk5 )
!= ( parent @ A ) ) ),
inference(paramod_ordered,[status(thm)],[22,11]) ).
thf(46,plain,
! [A: $i] :
( ~ ( parent @ '\'Iokaste\'' )
| ~ ( patricide @ sk5 )
| ( patricide @ ( sk1 @ A @ sk5 @ sk5 @ '\'Iokaste\'' ) )
| ~ ( relation @ sk5 @ of @ A )
| ~ ( relation @ '\'Iokaste\'' @ of @ sk5 ) ),
inference(pattern_uni,[status(thm)],[45:[bind(A,$thf( sk5 ))]]) ).
thf(64,plain,
! [A: $i] :
( ~ ( parent @ '\'Iokaste\'' )
| ~ ( patricide @ sk5 )
| ( patricide @ ( sk1 @ A @ sk5 @ sk5 @ '\'Iokaste\'' ) )
| ~ ( relation @ sk5 @ of @ A )
| ~ ( relation @ '\'Iokaste\'' @ of @ sk5 ) ),
inference(simp,[status(thm)],[46]) ).
thf(1242,plain,
! [A: $i] :
( ~ $true
| ~ ( patricide @ '\'Polyneikes\'' )
| ( patricide @ ( sk1 @ A @ '\'Polyneikes\'' @ '\'Polyneikes\'' @ '\'Iokaste\'' ) )
| ~ ( relation @ '\'Polyneikes\'' @ of @ A )
| ~ ( relation @ '\'Iokaste\'' @ of @ '\'Polyneikes\'' ) ),
inference(rewrite,[status(thm)],[64,32,125]) ).
thf(1243,plain,
! [A: $i] :
( ~ ( patricide @ '\'Polyneikes\'' )
| ( patricide @ ( sk1 @ A @ '\'Polyneikes\'' @ '\'Polyneikes\'' @ '\'Iokaste\'' ) )
| ~ ( relation @ '\'Polyneikes\'' @ of @ A )
| ~ ( relation @ '\'Iokaste\'' @ of @ '\'Polyneikes\'' ) ),
inference(simp,[status(thm)],[1242]) ).
thf(1279,plain,
! [A: $i] :
( ~ ( patricide @ '\'Polyneikes\'' )
| ( patricide @ ( sk1 @ A @ '\'Polyneikes\'' @ '\'Polyneikes\'' @ '\'Iokaste\'' ) )
| ~ ( relation @ '\'Iokaste\'' @ of @ '\'Polyneikes\'' )
| ( ( relation @ '\'Polyneikes\'' @ of @ '\'Thersandros\'' )
!= ( relation @ '\'Polyneikes\'' @ of @ A ) ) ),
inference(paramod_ordered,[status(thm)],[241,1243]) ).
thf(1280,plain,
( ~ ( patricide @ '\'Polyneikes\'' )
| ( patricide @ ( sk1 @ '\'Thersandros\'' @ '\'Polyneikes\'' @ '\'Polyneikes\'' @ '\'Iokaste\'' ) )
| ~ ( relation @ '\'Iokaste\'' @ of @ '\'Polyneikes\'' ) ),
inference(pattern_uni,[status(thm)],[1279:[bind(A,$thf( '\'Thersandros\'' ))]]) ).
thf(27,plain,
relation @ sk3 @ of @ '\'Polyneikes\'',
inference(cnf,[status(esa)],[13]) ).
thf(248,plain,
relation @ '\'Iokaste\'' @ of @ '\'Polyneikes\'',
inference(rewrite,[status(thm)],[27,33]) ).
thf(2122,plain,
( ~ ( patricide @ '\'Polyneikes\'' )
| ( patricide @ ( sk1 @ '\'Thersandros\'' @ '\'Polyneikes\'' @ '\'Polyneikes\'' @ '\'Iokaste\'' ) )
| ~ $true ),
inference(rewrite,[status(thm)],[1280,248]) ).
thf(2123,plain,
( ~ ( patricide @ '\'Polyneikes\'' )
| ( patricide @ ( sk1 @ '\'Thersandros\'' @ '\'Polyneikes\'' @ '\'Polyneikes\'' @ '\'Iokaste\'' ) ) ),
inference(simp,[status(thm)],[2122]) ).
thf(17,plain,
! [A: $i] :
( ~ ( patricide @ A )
| ( '\'Thersandros\'' != A ) ),
inference(cnf,[status(esa)],[13]) ).
thf(30,plain,
! [A: $i] :
( ( '\'Thersandros\'' != A )
| ~ ( patricide @ A ) ),
inference(lifteq,[status(thm)],[17]) ).
thf(31,plain,
~ ( patricide @ '\'Thersandros\'' ),
inference(simp,[status(thm)],[30]) ).
thf(2163,plain,
( ~ ( patricide @ '\'Polyneikes\'' )
| ( ( patricide @ ( sk1 @ '\'Thersandros\'' @ '\'Polyneikes\'' @ '\'Polyneikes\'' @ '\'Iokaste\'' ) )
!= ( patricide @ '\'Thersandros\'' ) ) ),
inference(paramod_ordered,[status(thm)],[2123,31]) ).
thf(2188,plain,
( ~ ( patricide @ '\'Polyneikes\'' )
| ( ( sk1 @ '\'Thersandros\'' @ '\'Polyneikes\'' @ '\'Polyneikes\'' @ '\'Iokaste\'' )
!= '\'Thersandros\'' ) ),
inference(simp,[status(thm)],[2163]) ).
thf(4345,plain,
! [A: $i] :
( ~ ( patricide @ '\'Polyneikes\'' )
| ~ ( relation @ '\'Polyneikes\'' @ of @ A )
| ~ ( relation @ '\'Iokaste\'' @ of @ '\'Polyneikes\'' )
| ( A != '\'Thersandros\'' )
| ( ( sk1 @ A @ '\'Polyneikes\'' @ '\'Polyneikes\'' @ '\'Iokaste\'' )
!= ( sk1 @ '\'Thersandros\'' @ '\'Polyneikes\'' @ '\'Polyneikes\'' @ '\'Iokaste\'' ) ) ),
inference(paramod_ordered,[status(thm)],[4259,2188]) ).
thf(4346,plain,
( ~ ( patricide @ '\'Polyneikes\'' )
| ~ ( relation @ '\'Polyneikes\'' @ of @ '\'Thersandros\'' )
| ~ ( relation @ '\'Iokaste\'' @ of @ '\'Polyneikes\'' )
| ( '\'Thersandros\'' != '\'Thersandros\'' ) ),
inference(pattern_uni,[status(thm)],[4345:[bind(A,$thf( '\'Thersandros\'' ))]]) ).
thf(4591,plain,
( ~ ( patricide @ '\'Polyneikes\'' )
| ~ ( relation @ '\'Polyneikes\'' @ of @ '\'Thersandros\'' )
| ~ ( relation @ '\'Iokaste\'' @ of @ '\'Polyneikes\'' ) ),
inference(simp,[status(thm)],[4346]) ).
thf(4592,plain,
( ~ ( patricide @ '\'Polyneikes\'' )
| ~ $true
| ~ $true ),
inference(rewrite,[status(thm)],[4591,241,248]) ).
thf(4593,plain,
~ ( patricide @ '\'Polyneikes\'' ),
inference(simp,[status(thm)],[4592]) ).
thf(4606,plain,
( ( patricide @ ( sk1 @ '\'Polyneikes\'' @ '\'Oedipus\'' @ '\'Oedipus\'' @ '\'Iokaste\'' ) )
!= ( patricide @ '\'Polyneikes\'' ) ),
inference(paramod_ordered,[status(thm)],[2349,4593]) ).
thf(4625,plain,
( ( sk1 @ '\'Polyneikes\'' @ '\'Oedipus\'' @ '\'Oedipus\'' @ '\'Iokaste\'' )
!= '\'Polyneikes\'' ),
inference(simp,[status(thm)],[4606]) ).
thf(6062,plain,
! [A: $i] :
( ~ ( parent @ '\'Oedipus\'' )
| ~ ( relation @ '\'Oedipus\'' @ of @ A )
| ~ ( relation @ '\'Iokaste\'' @ of @ '\'Oedipus\'' )
| ( A != '\'Polyneikes\'' )
| ( ( sk1 @ A @ '\'Oedipus\'' @ '\'Oedipus\'' @ '\'Iokaste\'' )
!= ( sk1 @ '\'Polyneikes\'' @ '\'Oedipus\'' @ '\'Oedipus\'' @ '\'Iokaste\'' ) ) ),
inference(paramod_ordered,[status(thm)],[6014,4625]) ).
thf(6063,plain,
( ~ ( parent @ '\'Oedipus\'' )
| ~ ( relation @ '\'Oedipus\'' @ of @ '\'Polyneikes\'' )
| ~ ( relation @ '\'Iokaste\'' @ of @ '\'Oedipus\'' )
| ( '\'Polyneikes\'' != '\'Polyneikes\'' ) ),
inference(pattern_uni,[status(thm)],[6062:[bind(A,$thf( '\'Polyneikes\'' ))]]) ).
thf(6282,plain,
( ~ ( parent @ '\'Oedipus\'' )
| ~ ( relation @ '\'Oedipus\'' @ of @ '\'Polyneikes\'' )
| ~ ( relation @ '\'Iokaste\'' @ of @ '\'Oedipus\'' ) ),
inference(simp,[status(thm)],[6063]) ).
thf(6302,plain,
( ~ $true
| ~ $true
| ~ $true ),
inference(rewrite,[status(thm)],[6282,161,234,126]) ).
thf(6303,plain,
$false,
inference(simp,[status(thm)],[6302]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : PUZ128+2 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.15 % Command : run_Leo-III %s %d
% 0.15/0.36 % Computer : n023.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Mon May 6 21:16:39 EDT 2024
% 0.15/0.36 % CPUTime :
% 1.04/0.94 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.22/1.09 % [INFO] Parsing done (143ms).
% 1.36/1.09 % [INFO] Running in sequential loop mode.
% 1.71/1.34 % [INFO] nitpick registered as external prover.
% 1.71/1.34 % [INFO] Scanning for conjecture ...
% 1.87/1.42 % [INFO] Found a conjecture and 1 axioms. Running axiom selection ...
% 1.87/1.45 % [INFO] Axiom selection finished. Selected 1 axioms (removed 0 axioms).
% 1.87/1.47 % [INFO] Problem is first-order (TPTP FOF).
% 2.09/1.47 % [INFO] Type checking passed.
% 2.09/1.47 % [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 ...
% 51.26/8.53 % [INFO] Killing All external provers ...
% 51.26/8.54 % Time passed: 8007ms (effective reasoning time: 7438ms)
% 51.26/8.54 % 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)>
% 51.26/8.54 % Axioms used in derivation (1): background
% 51.26/8.54 % No. of inferences in proof: 82
% 51.26/8.54 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 8007 ms resp. 7438 ms w/o parsing
% 51.42/8.70 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 51.42/8.70 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------