%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : SET623^5 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox/solver/bin/leo3.jar /export/starexec/sandbox/benchmark/theBenchmark.p -t 300 -p --atp eprover=/export/starexec/sandbox/solver/bin/externals/eprover --instantiate 39
% Computer : n026.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Sep 30 08:23:03 AM UTC 2026
% Result : Theorem 18.30s 6.26s
% Output : Refutation 15.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 4
% Syntax : Number of formulae : 44 ( 15 unt; 0 typ; 3 def)
% Number of atoms : 2086 ( 25 equ; 0 cnn)
% Maximal formula atoms : 1560 ( 47 avg)
% Number of connectives : 5339 (1105 ~;1669 |; 423 &;2142 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 232 ( 11 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 15 ( 15 >; 0 *; 0 +; 0 <<)
% Number of symbols : 7 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 31 ( 16 ^; 12 !; 0 ?; 31 :)
% ( 0 !>; 0 ?*; 0 @-; 3 @+)
% Comments :
%------------------------------------------------------------------------------
thf(a_type,type,
a: $tType ).
thf(sk1_decl,type,
sk1: a > $o ).
thf(sk2_decl,type,
sk2: a > $o ).
thf(sk3_decl,type,
sk3: a > $o ).
thf(sk4_decl,type,
sk4: a ).
thf(sk1_def,definition,
( sk1
= ( @+[A: a > $o] :
~ ! [B: a > $o,C: a > $o] :
( ( ^ [D: a] :
( ( ( A @ D )
& ~ ( ( ( B @ D )
& ~ ( C @ D ) )
| ( ( C @ D )
& ~ ( B @ D ) ) ) )
| ( ( ( ( B @ D )
& ~ ( C @ D ) )
| ( ( C @ D )
& ~ ( B @ D ) ) )
& ~ ( A @ D ) ) ) )
= ( ^ [D: a] :
( ( ( ( ( A @ D )
& ~ ( B @ D ) )
| ( ( B @ D )
& ~ ( A @ D ) ) )
& ~ ( C @ D ) )
| ( ( C @ D )
& ~ ( ( ( A @ D )
& ~ ( B @ D ) )
| ( ( B @ D )
& ~ ( A @ D ) ) ) ) ) ) ) ) ) ).
thf(sk2_def,definition,
( sk2
= ( @+[A: a > $o] :
~ ! [B: a > $o] :
( ( ^ [C: a] :
( ( ( sk1 @ C )
& ~ ( ( ( A @ C )
& ~ ( B @ C ) )
| ( ( B @ C )
& ~ ( A @ C ) ) ) )
| ( ( ( ( A @ C )
& ~ ( B @ C ) )
| ( ( B @ C )
& ~ ( A @ C ) ) )
& ~ ( sk1 @ C ) ) ) )
= ( ^ [C: a] :
( ( ( ( ( sk1 @ C )
& ~ ( A @ C ) )
| ( ( A @ C )
& ~ ( sk1 @ C ) ) )
& ~ ( B @ C ) )
| ( ( B @ C )
& ~ ( ( ( sk1 @ C )
& ~ ( A @ C ) )
| ( ( A @ C )
& ~ ( sk1 @ C ) ) ) ) ) ) ) ) ) ).
thf(sk3_def,definition,
( sk3
= ( @+[A: a > $o] :
( ( ^ [B: a] :
( ( ( sk1 @ B )
& ~ ( ( ( sk2 @ B )
& ~ ( A @ B ) )
| ( ( A @ B )
& ~ ( sk2 @ B ) ) ) )
| ( ( ( ( sk2 @ B )
& ~ ( A @ B ) )
| ( ( A @ B )
& ~ ( sk2 @ B ) ) )
& ~ ( sk1 @ B ) ) ) )
!= ( ^ [B: a] :
( ( ( ( ( sk1 @ B )
& ~ ( sk2 @ B ) )
| ( ( sk2 @ B )
& ~ ( sk1 @ B ) ) )
& ~ ( A @ B ) )
| ( ( A @ B )
& ~ ( ( ( sk1 @ B )
& ~ ( sk2 @ B ) )
| ( ( sk2 @ B )
& ~ ( sk1 @ B ) ) ) ) ) ) ) ) ) ).
thf(1,conjecture,
! [A: a > $o,B: a > $o,C: a > $o] :
( ( ^ [D: a] :
( ( ( A @ D )
& ~ ( ( ( B @ D )
& ~ ( C @ D ) )
| ( ( C @ D )
& ~ ( B @ D ) ) ) )
| ( ( ( ( B @ D )
& ~ ( C @ D ) )
| ( ( C @ D )
& ~ ( B @ D ) ) )
& ~ ( A @ D ) ) ) )
= ( ^ [D: a] :
( ( ( ( ( A @ D )
& ~ ( B @ D ) )
| ( ( B @ D )
& ~ ( A @ D ) ) )
& ~ ( C @ D ) )
| ( ( C @ D )
& ~ ( ( ( A @ D )
& ~ ( B @ D ) )
| ( ( B @ D )
& ~ ( A @ D ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cBOOL_PROP_99_pme) ).
thf(2,negated_conjecture,
~ ! [A: a > $o,B: a > $o,C: a > $o] :
( ( ^ [D: a] :
( ( ( A @ D )
& ~ ( ( ( B @ D )
& ~ ( C @ D ) )
| ( ( C @ D )
& ~ ( B @ D ) ) ) )
| ( ( ( ( B @ D )
& ~ ( C @ D ) )
| ( ( C @ D )
& ~ ( B @ D ) ) )
& ~ ( A @ D ) ) ) )
= ( ^ [D: a] :
( ( ( ( ( A @ D )
& ~ ( B @ D ) )
| ( ( B @ D )
& ~ ( A @ D ) ) )
& ~ ( C @ D ) )
| ( ( C @ D )
& ~ ( ( ( A @ D )
& ~ ( B @ D ) )
| ( ( B @ D )
& ~ ( A @ D ) ) ) ) ) ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(3,plain,
~ ! [A: a > $o,B: a > $o,C: a > $o] :
( ( ^ [D: a] :
( ( ( A @ D )
& ~ ( ( ( B @ D )
& ~ ( C @ D ) )
| ( ( C @ D )
& ~ ( B @ D ) ) ) )
| ( ( ( ( B @ D )
& ~ ( C @ D ) )
| ( ( C @ D )
& ~ ( B @ D ) ) )
& ~ ( A @ D ) ) ) )
= ( ^ [D: a] :
( ( ( ( ( A @ D )
& ~ ( B @ D ) )
| ( ( B @ D )
& ~ ( A @ D ) ) )
& ~ ( C @ D ) )
| ( ( C @ D )
& ~ ( ( ( A @ D )
& ~ ( B @ D ) )
| ( ( B @ D )
& ~ ( A @ D ) ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(4,plain,
( ( ^ [A: a] :
( ( ( sk1 @ A )
& ~ ( ( ( sk2 @ A )
& ~ ( sk3 @ A ) )
| ( ( sk3 @ A )
& ~ ( sk2 @ A ) ) ) )
| ( ( ( ( sk2 @ A )
& ~ ( sk3 @ A ) )
| ( ( sk3 @ A )
& ~ ( sk2 @ A ) ) )
& ~ ( sk1 @ A ) ) ) )
!= ( ^ [A: a] :
( ( ( ( ( sk1 @ A )
& ~ ( sk2 @ A ) )
| ( ( sk2 @ A )
& ~ ( sk1 @ A ) ) )
& ~ ( sk3 @ A ) )
| ( ( sk3 @ A )
& ~ ( ( ( sk1 @ A )
& ~ ( sk2 @ A ) )
| ( ( sk2 @ A )
& ~ ( sk1 @ A ) ) ) ) ) ) ),
inference(cnf,[status(esa)],[3]) ).
thf(5,plain,
( ( ^ [A: a] :
( ( ( sk1 @ A )
& ~ ( ( ( sk2 @ A )
& ~ ( sk3 @ A ) )
| ( ( sk3 @ A )
& ~ ( sk2 @ A ) ) ) )
| ( ( ( ( sk2 @ A )
& ~ ( sk3 @ A ) )
| ( ( sk3 @ A )
& ~ ( sk2 @ A ) ) )
& ~ ( sk1 @ A ) ) ) )
!= ( ^ [A: a] :
( ( ( ( ( sk1 @ A )
& ~ ( sk2 @ A ) )
| ( ( sk2 @ A )
& ~ ( sk1 @ A ) ) )
& ~ ( sk3 @ A ) )
| ( ( sk3 @ A )
& ~ ( ( ( sk1 @ A )
& ~ ( sk2 @ A ) )
| ( ( sk2 @ A )
& ~ ( sk1 @ A ) ) ) ) ) ) ),
inference(lifteq,[status(thm)],[4]) ).
thf(7,plain,
( ( ( ( sk1 @ sk4 )
& ~ ( ( ( sk2 @ sk4 )
& ~ ( sk3 @ sk4 ) )
| ( ( sk3 @ sk4 )
& ~ ( sk2 @ sk4 ) ) ) )
| ( ( ( ( sk2 @ sk4 )
& ~ ( sk3 @ sk4 ) )
| ( ( sk3 @ sk4 )
& ~ ( sk2 @ sk4 ) ) )
& ~ ( sk1 @ sk4 ) ) )
!= ( ( ( ( ( sk1 @ sk4 )
& ~ ( sk2 @ sk4 ) )
| ( ( sk2 @ sk4 )
& ~ ( sk1 @ sk4 ) ) )
& ~ ( sk3 @ sk4 ) )
| ( ( sk3 @ sk4 )
& ~ ( ( ( sk1 @ sk4 )
& ~ ( sk2 @ sk4 ) )
| ( ( sk2 @ sk4 )
& ~ ( sk1 @ sk4 ) ) ) ) ) ),
inference(func_ext,[status(esa)],[5]) ).
thf(8,plain,
( ( ( ( sk1 @ sk4 )
& ~ ( ( ( sk2 @ sk4 )
& ~ ( sk3 @ sk4 ) )
| ( ( sk3 @ sk4 )
& ~ ( sk2 @ sk4 ) ) ) )
!= ( ( ( ( sk1 @ sk4 )
& ~ ( sk2 @ sk4 ) )
| ( ( sk2 @ sk4 )
& ~ ( sk1 @ sk4 ) ) )
& ~ ( sk3 @ sk4 ) ) )
| ( ( ( ( ( sk2 @ sk4 )
& ~ ( sk3 @ sk4 ) )
| ( ( sk3 @ sk4 )
& ~ ( sk2 @ sk4 ) ) )
& ~ ( sk1 @ sk4 ) )
!= ( ( sk3 @ sk4 )
& ~ ( ( ( sk1 @ sk4 )
& ~ ( sk2 @ sk4 ) )
| ( ( sk2 @ sk4 )
& ~ ( sk1 @ sk4 ) ) ) ) ) ),
inference(simp,[status(thm)],[7]) ).
thf(192,plain,
( ( ( sk1 @ sk4 )
& ~ ( ( ( sk2 @ sk4 )
& ~ ( sk3 @ sk4 ) )
| ( ( sk3 @ sk4 )
& ~ ( sk2 @ sk4 ) ) ) )
| ( ( ( ( sk1 @ sk4 )
& ~ ( sk2 @ sk4 ) )
| ( ( sk2 @ sk4 )
& ~ ( sk1 @ sk4 ) ) )
& ~ ( sk3 @ sk4 ) )
| ( ( ( ( sk2 @ sk4 )
& ~ ( sk3 @ sk4 ) )
| ( ( sk3 @ sk4 )
& ~ ( sk2 @ sk4 ) ) )
& ~ ( sk1 @ sk4 ) )
| ( ( sk3 @ sk4 )
& ~ ( ( ( sk1 @ sk4 )
& ~ ( sk2 @ sk4 ) )
| ( ( sk2 @ sk4 )
& ~ ( sk1 @ sk4 ) ) ) ) ),
inference(bool_ext,[status(thm)],[8]) ).
thf(209,plain,
( ( ( sk1 @ sk4 )
| ( sk1 @ sk4 )
| ( sk2 @ sk4 )
| ( sk2 @ sk4 )
| ( sk3 @ sk4 )
| ( sk3 @ sk4 ) )
& ( ( sk1 @ sk4 )
| ( sk1 @ sk4 )
| ( sk2 @ sk4 )
| ( sk2 @ sk4 )
| ( sk3 @ sk4 )
| ~ ( sk1 @ sk4 )
| ( sk2 @ sk4 ) )
& ( ( sk1 @ sk4 )
| ( sk1 @ sk4 )
| ( sk2 @ sk4 )
| ( sk2 @ sk4 )
| ( sk3 @ sk4 )
| ~ ( sk2 @ sk4 )
| ( sk1 @ sk4 ) )
& ( ( sk1 @ sk4 )
| ( sk1 @ sk4 )
| ( sk2 @ sk4 )
| ( sk2 @ sk4 )
| ~ ( sk2 @ sk4 )
| ( sk3 @ sk4 ) )
& ( ( sk1 @ sk4 )
| ( sk1 @ sk4 )
| ( sk2 @ sk4 )
| ( sk2 @ sk4 )
| ~ ( sk2 @ sk4 )
| ~ ( sk1 @ sk4 )
| ( sk2 @ sk4 ) )
& ( ( sk1 @ sk4 )
| ( sk1 @ sk4 )
| ( sk2 @ sk4 )
| ( sk2 @ sk4 )
| ~ ( sk2 @ sk4 )
| ~ ( sk2 @ sk4 )
| ( sk1 @ sk4 ) )
& ( ( sk1 @ sk4 )
| ( sk1 @ sk4 )
| ( sk2 @ sk4 )
| ~ ( sk3 @ sk4 )
| ( sk3 @ sk4 )
| ( sk3 @ sk4 ) )
& ( ( sk1 @ sk4 )
| ( sk1 @ sk4 )
| ( sk2 @ sk4 )
| ~ ( sk3 @ sk4 )
| ( sk3 @ sk4 )
| ~ ( sk1 @ sk4 )
| ( sk2 @ sk4 ) )
& ( ( sk1 @ sk4 )
| ( sk1 @ sk4 )
| ( sk2 @ sk4 )
| ~ ( sk3 @ sk4 )
| ( sk3 @ sk4 )
| ~ ( sk2 @ sk4 )
| ( sk1 @ sk4 ) )
& ( ( sk1 @ sk4 )
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| ~ ( sk3 @ sk4 )
| ~ ( sk2 @ sk4 )
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& ( ( sk1 @ sk4 )
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& ( ( sk1 @ sk4 )
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| ( sk3 @ sk4 )
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& ( ( sk1 @ sk4 )
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| ( sk2 @ sk4 )
| ( sk3 @ sk4 )
| ~ ( sk2 @ sk4 )
| ( sk1 @ sk4 ) )
& ( ( sk1 @ sk4 )
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| ( sk2 @ sk4 )
| ~ ( sk2 @ sk4 )
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| ~ ( sk2 @ sk4 )
| ~ ( sk2 @ sk4 )
| ( sk1 @ sk4 ) )
& ( ~ ( sk3 @ sk4 )
| ( sk2 @ sk4 )
| ( sk1 @ sk4 )
| ~ ( sk1 @ sk4 )
| ~ ( sk3 @ sk4 )
| ( sk3 @ sk4 )
| ( sk3 @ sk4 ) )
& ( ~ ( sk3 @ sk4 )
| ( sk2 @ sk4 )
| ( sk1 @ sk4 )
| ~ ( sk1 @ sk4 )
| ~ ( sk3 @ sk4 )
| ( sk3 @ sk4 )
| ~ ( sk1 @ sk4 )
| ( sk2 @ sk4 ) )
& ( ~ ( sk3 @ sk4 )
| ( sk2 @ sk4 )
| ( sk1 @ sk4 )
| ~ ( sk1 @ sk4 )
| ~ ( sk3 @ sk4 )
| ( sk3 @ sk4 )
| ~ ( sk2 @ sk4 )
| ( sk1 @ sk4 ) )
& ( ~ ( sk3 @ sk4 )
| ( sk2 @ sk4 )
| ( sk1 @ sk4 )
| ~ ( sk1 @ sk4 )
| ~ ( sk3 @ sk4 )
| ~ ( sk2 @ sk4 )
| ( sk3 @ sk4 ) )
& ( ~ ( sk3 @ sk4 )
| ( sk2 @ sk4 )
| ( sk1 @ sk4 )
| ~ ( sk1 @ sk4 )
| ~ ( sk3 @ sk4 )
| ~ ( sk2 @ sk4 )
| ~ ( sk1 @ sk4 )
| ( sk2 @ sk4 ) )
& ( ~ ( sk3 @ sk4 )
| ( sk2 @ sk4 )
| ( sk1 @ sk4 )
| ~ ( sk1 @ sk4 )
| ~ ( sk3 @ sk4 )
| ~ ( sk2 @ sk4 )
| ~ ( sk2 @ sk4 )
| ( sk1 @ sk4 ) )
& ( ~ ( sk3 @ sk4 )
| ( sk2 @ sk4 )
| ( sk1 @ sk4 )
| ~ ( sk1 @ sk4 )
| ~ ( sk1 @ sk4 )
| ( sk3 @ sk4 ) )
& ( ~ ( sk3 @ sk4 )
| ( sk2 @ sk4 )
| ( sk1 @ sk4 )
| ~ ( sk1 @ sk4 )
| ~ ( sk1 @ sk4 )
| ~ ( sk1 @ sk4 )
| ( sk2 @ sk4 ) )
& ( ~ ( sk3 @ sk4 )
| ( sk2 @ sk4 )
| ( sk1 @ sk4 )
| ~ ( sk1 @ sk4 )
| ~ ( sk1 @ sk4 )
| ~ ( sk2 @ sk4 )
| ( sk1 @ sk4 ) )
& ( ~ ( sk3 @ sk4 )
| ( sk2 @ sk4 )
| ~ ( sk2 @ sk4 )
| ( sk2 @ sk4 )
| ( sk2 @ sk4 )
| ( sk3 @ sk4 )
| ( sk3 @ sk4 ) )
& ( ~ ( sk3 @ sk4 )
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| ~ ( sk2 @ sk4 )
| ( sk2 @ sk4 )
| ( sk2 @ sk4 )
| ( sk3 @ sk4 )
| ~ ( sk1 @ sk4 )
| ( sk2 @ sk4 ) )
& ( ~ ( sk3 @ sk4 )
| ( sk2 @ sk4 )
| ~ ( sk2 @ sk4 )
| ( sk2 @ sk4 )
| ( sk2 @ sk4 )
| ( sk3 @ sk4 )
| ~ ( sk2 @ sk4 )
| ( sk1 @ sk4 ) )
& ( ~ ( sk3 @ sk4 )
| ( sk2 @ sk4 )
| ~ ( sk2 @ sk4 )
| ( sk2 @ sk4 )
| ( sk2 @ sk4 )
| ~ ( sk2 @ sk4 )
| ( sk3 @ sk4 ) )
& ( ~ ( sk3 @ sk4 )
| ( sk2 @ sk4 )
| ~ ( sk2 @ sk4 )
| ( sk2 @ sk4 )
| ( sk2 @ sk4 )
| ~ ( sk2 @ sk4 )
| ~ ( sk1 @ sk4 )
| ( sk2 @ sk4 ) )
& ( ~ ( sk3 @ sk4 )
| ( sk2 @ sk4 )
| ~ ( sk2 @ sk4 )
| ( sk2 @ sk4 )
| ( sk2 @ sk4 )
| ~ ( sk2 @ sk4 )
| ~ ( sk2 @ sk4 )
| ( sk1 @ sk4 ) )
& ( ~ ( sk3 @ sk4 )
| ( sk2 @ sk4 )
| ~ ( sk2 @ sk4 )
| ( sk2 @ sk4 )
| ~ ( sk3 @ sk4 )
| ( sk3 @ sk4 )
| ( sk3 @ sk4 ) )
& ( ~ ( sk3 @ sk4 )
| ( sk2 @ sk4 )
| ~ ( sk2 @ sk4 )
| ( sk2 @ sk4 )
| ~ ( sk3 @ sk4 )
| ( sk3 @ sk4 )
| ~ ( sk1 @ sk4 )
| ( sk2 @ sk4 ) )
& ( ~ ( sk3 @ sk4 )
| ( sk2 @ sk4 )
| ~ ( sk2 @ sk4 )
| ( sk2 @ sk4 )
| ~ ( sk3 @ sk4 )
| ( sk3 @ sk4 )
| ~ ( sk2 @ sk4 )
| ( sk1 @ sk4 ) )
& ( ~ ( sk3 @ sk4 )
| ( sk2 @ sk4 )
| ~ ( sk2 @ sk4 )
| ( sk2 @ sk4 )
| ~ ( sk3 @ sk4 )
| ~ ( sk2 @ sk4 )
| ( sk3 @ sk4 ) )
& ( ~ ( sk3 @ sk4 )
| ( sk2 @ sk4 )
| ~ ( sk2 @ sk4 )
| ( sk2 @ sk4 )
| ~ ( sk3 @ sk4 )
| ~ ( sk2 @ sk4 )
| ~ ( sk1 @ sk4 )
| ( sk2 @ sk4 ) )
& ( ~ ( sk3 @ sk4 )
| ( sk2 @ sk4 )
| ~ ( sk2 @ sk4 )
| ( sk2 @ sk4 )
| ~ ( sk3 @ sk4 )
| ~ ( sk2 @ sk4 )
| ~ ( sk2 @ sk4 )
| ( sk1 @ sk4 ) )
& ( ~ ( sk3 @ sk4 )
| ( sk2 @ sk4 )
| ~ ( sk2 @ sk4 )
| ( sk2 @ sk4 )
| ~ ( sk1 @ sk4 )
| ( sk3 @ sk4 ) )
& ( ~ ( sk3 @ sk4 )
| ( sk2 @ sk4 )
| ~ ( sk2 @ sk4 )
| ( sk2 @ sk4 )
| ~ ( sk1 @ sk4 )
| ~ ( sk1 @ sk4 )
| ( sk2 @ sk4 ) )
& ( ~ ( sk3 @ sk4 )
| ( sk2 @ sk4 )
| ~ ( sk2 @ sk4 )
| ( sk2 @ sk4 )
| ~ ( sk1 @ sk4 )
| ~ ( sk2 @ sk4 )
| ( sk1 @ sk4 ) )
& ( ~ ( sk3 @ sk4 )
| ( sk2 @ sk4 )
| ~ ( sk2 @ sk4 )
| ~ ( sk1 @ sk4 )
| ( sk2 @ sk4 )
| ( sk3 @ sk4 )
| ( sk3 @ sk4 ) )
& ( ~ ( sk3 @ sk4 )
| ( sk2 @ sk4 )
| ~ ( sk2 @ sk4 )
| ~ ( sk1 @ sk4 )
| ( sk2 @ sk4 )
| ( sk3 @ sk4 )
| ~ ( sk1 @ sk4 )
| ( sk2 @ sk4 ) )
& ( ~ ( sk3 @ sk4 )
| ( sk2 @ sk4 )
| ~ ( sk2 @ sk4 )
| ~ ( sk1 @ sk4 )
| ( sk2 @ sk4 )
| ( sk3 @ sk4 )
| ~ ( sk2 @ sk4 )
| ( sk1 @ sk4 ) )
& ( ~ ( sk3 @ sk4 )
| ( sk2 @ sk4 )
| ~ ( sk2 @ sk4 )
| ~ ( sk1 @ sk4 )
| ( sk2 @ sk4 )
| ~ ( sk2 @ sk4 )
| ( sk3 @ sk4 ) )
& ( ~ ( sk3 @ sk4 )
| ( sk2 @ sk4 )
| ~ ( sk2 @ sk4 )
| ~ ( sk1 @ sk4 )
| ( sk2 @ sk4 )
| ~ ( sk2 @ sk4 )
| ~ ( sk1 @ sk4 )
| ( sk2 @ sk4 ) )
& ( ~ ( sk3 @ sk4 )
| ( sk2 @ sk4 )
| ~ ( sk2 @ sk4 )
| ~ ( sk1 @ sk4 )
| ( sk2 @ sk4 )
| ~ ( sk2 @ sk4 )
| ~ ( sk2 @ sk4 )
| ( sk1 @ sk4 ) )
& ( ~ ( sk3 @ sk4 )
| ( sk2 @ sk4 )
| ~ ( sk2 @ sk4 )
| ~ ( sk1 @ sk4 )
| ~ ( sk3 @ sk4 )
| ( sk3 @ sk4 )
| ( sk3 @ sk4 ) )
& ( ~ ( sk3 @ sk4 )
| ( sk2 @ sk4 )
| ~ ( sk2 @ sk4 )
| ~ ( sk1 @ sk4 )
| ~ ( sk3 @ sk4 )
| ( sk3 @ sk4 )
| ~ ( sk1 @ sk4 )
| ( sk2 @ sk4 ) )
& ( ~ ( sk3 @ sk4 )
| ( sk2 @ sk4 )
| ~ ( sk2 @ sk4 )
| ~ ( sk1 @ sk4 )
| ~ ( sk3 @ sk4 )
| ( sk3 @ sk4 )
| ~ ( sk2 @ sk4 )
| ( sk1 @ sk4 ) )
& ( ~ ( sk3 @ sk4 )
| ( sk2 @ sk4 )
| ~ ( sk2 @ sk4 )
| ~ ( sk1 @ sk4 )
| ~ ( sk3 @ sk4 )
| ~ ( sk2 @ sk4 )
| ( sk3 @ sk4 ) )
& ( ~ ( sk3 @ sk4 )
| ( sk2 @ sk4 )
| ~ ( sk2 @ sk4 )
| ~ ( sk1 @ sk4 )
| ~ ( sk3 @ sk4 )
| ~ ( sk2 @ sk4 )
| ~ ( sk1 @ sk4 )
| ( sk2 @ sk4 ) )
& ( ~ ( sk3 @ sk4 )
| ( sk2 @ sk4 )
| ~ ( sk2 @ sk4 )
| ~ ( sk1 @ sk4 )
| ~ ( sk3 @ sk4 )
| ~ ( sk2 @ sk4 )
| ~ ( sk2 @ sk4 )
| ( sk1 @ sk4 ) )
& ( ~ ( sk3 @ sk4 )
| ( sk2 @ sk4 )
| ~ ( sk2 @ sk4 )
| ~ ( sk1 @ sk4 )
| ~ ( sk1 @ sk4 )
| ( sk3 @ sk4 ) )
& ( ~ ( sk3 @ sk4 )
| ( sk2 @ sk4 )
| ~ ( sk2 @ sk4 )
| ~ ( sk1 @ sk4 )
| ~ ( sk1 @ sk4 )
| ~ ( sk1 @ sk4 )
| ( sk2 @ sk4 ) )
& ( ~ ( sk3 @ sk4 )
| ( sk2 @ sk4 )
| ~ ( sk2 @ sk4 )
| ~ ( sk1 @ sk4 )
| ~ ( sk1 @ sk4 )
| ~ ( sk2 @ sk4 )
| ( sk1 @ sk4 ) )
& ( ~ ( sk3 @ sk4 )
| ( sk2 @ sk4 )
| ~ ( sk3 @ sk4 )
| ( sk2 @ sk4 )
| ( sk3 @ sk4 )
| ( sk3 @ sk4 ) )
& ( ~ ( sk3 @ sk4 )
| ( sk2 @ sk4 )
| ~ ( sk3 @ sk4 )
| ( sk2 @ sk4 )
| ( sk3 @ sk4 )
| ~ ( sk1 @ sk4 )
| ( sk2 @ sk4 ) )
& ( ~ ( sk3 @ sk4 )
| ( sk2 @ sk4 )
| ~ ( sk3 @ sk4 )
| ( sk2 @ sk4 )
| ( sk3 @ sk4 )
| ~ ( sk2 @ sk4 )
| ( sk1 @ sk4 ) )
& ( ~ ( sk3 @ sk4 )
| ( sk2 @ sk4 )
| ~ ( sk3 @ sk4 )
| ( sk2 @ sk4 )
| ~ ( sk2 @ sk4 )
| ( sk3 @ sk4 ) )
& ( ~ ( sk3 @ sk4 )
| ( sk2 @ sk4 )
| ~ ( sk3 @ sk4 )
| ( sk2 @ sk4 )
| ~ ( sk2 @ sk4 )
| ~ ( sk1 @ sk4 )
| ( sk2 @ sk4 ) )
& ( ~ ( sk3 @ sk4 )
| ( sk2 @ sk4 )
| ~ ( sk3 @ sk4 )
| ( sk2 @ sk4 )
| ~ ( sk2 @ sk4 )
| ~ ( sk2 @ sk4 )
| ( sk1 @ sk4 ) )
& ( ~ ( sk3 @ sk4 )
| ( sk2 @ sk4 )
| ~ ( sk3 @ sk4 )
| ~ ( sk3 @ sk4 )
| ( sk3 @ sk4 )
| ( sk3 @ sk4 ) )
& ( ~ ( sk3 @ sk4 )
| ( sk2 @ sk4 )
| ~ ( sk3 @ sk4 )
| ~ ( sk3 @ sk4 )
| ( sk3 @ sk4 )
| ~ ( sk1 @ sk4 )
| ( sk2 @ sk4 ) )
& ( ~ ( sk3 @ sk4 )
| ( sk2 @ sk4 )
| ~ ( sk3 @ sk4 )
| ~ ( sk3 @ sk4 )
| ( sk3 @ sk4 )
| ~ ( sk2 @ sk4 )
| ( sk1 @ sk4 ) )
& ( ~ ( sk3 @ sk4 )
| ( sk2 @ sk4 )
| ~ ( sk3 @ sk4 )
| ~ ( sk3 @ sk4 )
| ~ ( sk2 @ sk4 )
| ( sk3 @ sk4 ) )
& ( ~ ( sk3 @ sk4 )
| ( sk2 @ sk4 )
| ~ ( sk3 @ sk4 )
| ~ ( sk3 @ sk4 )
| ~ ( sk2 @ sk4 )
| ~ ( sk1 @ sk4 )
| ( sk2 @ sk4 ) )
& ( ~ ( sk3 @ sk4 )
| ( sk2 @ sk4 )
| ~ ( sk3 @ sk4 )
| ~ ( sk3 @ sk4 )
| ~ ( sk2 @ sk4 )
| ~ ( sk2 @ sk4 )
| ( sk1 @ sk4 ) )
& ( ~ ( sk3 @ sk4 )
| ( sk2 @ sk4 )
| ~ ( sk3 @ sk4 )
| ~ ( sk1 @ sk4 )
| ( sk3 @ sk4 ) )
& ( ~ ( sk3 @ sk4 )
| ( sk2 @ sk4 )
| ~ ( sk3 @ sk4 )
| ~ ( sk1 @ sk4 )
| ~ ( sk1 @ sk4 )
| ( sk2 @ sk4 ) )
& ( ~ ( sk3 @ sk4 )
| ( sk2 @ sk4 )
| ~ ( sk3 @ sk4 )
| ~ ( sk1 @ sk4 )
| ~ ( sk2 @ sk4 )
| ( sk1 @ sk4 ) ) ),
inference(cnf,[status(esa)],[192]) ).
thf(210,plain,
( ( sk1 @ sk4 )
| ( sk1 @ sk4 )
| ( sk2 @ sk4 )
| ( sk2 @ sk4 )
| ( sk3 @ sk4 )
| ( sk3 @ sk4 ) ),
inference(cnfConj,[status(thm)],[209]) ).
thf(593,plain,
( ( sk1 @ sk4 )
| ( sk2 @ sk4 )
| ( sk3 @ sk4 ) ),
inference(simp,[status(thm)],[210]) ).
thf(9,plain,
( ~ ( ( ( sk1 @ sk4 )
& ~ ( ( ( sk2 @ sk4 )
& ~ ( sk3 @ sk4 ) )
| ( ( sk3 @ sk4 )
& ~ ( sk2 @ sk4 ) ) ) )
| ( ( ( ( sk2 @ sk4 )
& ~ ( sk3 @ sk4 ) )
| ( ( sk3 @ sk4 )
& ~ ( sk2 @ sk4 ) ) )
& ~ ( sk1 @ sk4 ) ) )
| ~ ( ( ( ( ( sk1 @ sk4 )
& ~ ( sk2 @ sk4 ) )
| ( ( sk2 @ sk4 )
& ~ ( sk1 @ sk4 ) ) )
& ~ ( sk3 @ sk4 ) )
| ( ( sk3 @ sk4 )
& ~ ( ( ( sk1 @ sk4 )
& ~ ( sk2 @ sk4 ) )
| ( ( sk2 @ sk4 )
& ~ ( sk1 @ sk4 ) ) ) ) ) ),
inference(bool_ext,[status(thm)],[7]) ).
thf(11,plain,
( ( ~ ( sk1 @ sk4 )
| ( sk2 @ sk4 )
| ( sk3 @ sk4 )
| ~ ( sk1 @ sk4 )
| ( sk2 @ sk4 )
| ( sk3 @ sk4 ) )
& ( ~ ( sk1 @ sk4 )
| ( sk2 @ sk4 )
| ( sk3 @ sk4 )
| ~ ( sk2 @ sk4 )
| ( sk1 @ sk4 )
| ( sk3 @ sk4 ) )
& ( ~ ( sk1 @ sk4 )
| ( sk2 @ sk4 )
| ( sk3 @ sk4 )
| ~ ( sk3 @ sk4 )
| ( sk1 @ sk4 )
| ( sk2 @ sk4 ) )
& ( ~ ( sk1 @ sk4 )
| ( sk2 @ sk4 )
| ( sk3 @ sk4 )
| ~ ( sk3 @ sk4 )
| ( sk1 @ sk4 )
| ~ ( sk1 @ sk4 ) )
& ( ~ ( sk1 @ sk4 )
| ( sk2 @ sk4 )
| ( sk3 @ sk4 )
| ~ ( sk3 @ sk4 )
| ~ ( sk2 @ sk4 )
| ( sk2 @ sk4 ) )
& ( ~ ( sk1 @ sk4 )
| ( sk2 @ sk4 )
| ( sk3 @ sk4 )
| ~ ( sk3 @ sk4 )
| ~ ( sk2 @ sk4 )
| ~ ( sk1 @ sk4 ) )
& ( ~ ( sk1 @ sk4 )
| ( sk2 @ sk4 )
| ~ ( sk2 @ sk4 )
| ~ ( sk1 @ sk4 )
| ( sk2 @ sk4 )
| ( sk3 @ sk4 ) )
& ( ~ ( sk1 @ sk4 )
| ( sk2 @ sk4 )
| ~ ( sk2 @ sk4 )
| ~ ( sk2 @ sk4 )
| ( sk1 @ sk4 )
| ( sk3 @ sk4 ) )
& ( ~ ( sk1 @ sk4 )
| ( sk2 @ sk4 )
| ~ ( sk2 @ sk4 )
| ~ ( sk3 @ sk4 )
| ( sk1 @ sk4 )
| ( sk2 @ sk4 ) )
& ( ~ ( sk1 @ sk4 )
| ( sk2 @ sk4 )
| ~ ( sk2 @ sk4 )
| ~ ( sk3 @ sk4 )
| ( sk1 @ sk4 )
| ~ ( sk1 @ sk4 ) )
& ( ~ ( sk1 @ sk4 )
| ( sk2 @ sk4 )
| ~ ( sk2 @ sk4 )
| ~ ( sk3 @ sk4 )
| ~ ( sk2 @ sk4 )
| ( sk2 @ sk4 ) )
& ( ~ ( sk1 @ sk4 )
| ( sk2 @ sk4 )
| ~ ( sk2 @ sk4 )
| ~ ( sk3 @ sk4 )
| ~ ( sk2 @ sk4 )
| ~ ( sk1 @ sk4 ) )
& ( ~ ( sk1 @ sk4 )
| ~ ( sk3 @ sk4 )
| ( sk3 @ sk4 )
| ~ ( sk1 @ sk4 )
| ( sk2 @ sk4 )
| ( sk3 @ sk4 ) )
& ( ~ ( sk1 @ sk4 )
| ~ ( sk3 @ sk4 )
| ( sk3 @ sk4 )
| ~ ( sk2 @ sk4 )
| ( sk1 @ sk4 )
| ( sk3 @ sk4 ) )
& ( ~ ( sk1 @ sk4 )
| ~ ( sk3 @ sk4 )
| ( sk3 @ sk4 )
| ~ ( sk3 @ sk4 )
| ( sk1 @ sk4 )
| ( sk2 @ sk4 ) )
& ( ~ ( sk1 @ sk4 )
| ~ ( sk3 @ sk4 )
| ( sk3 @ sk4 )
| ~ ( sk3 @ sk4 )
| ( sk1 @ sk4 )
| ~ ( sk1 @ sk4 ) )
& ( ~ ( sk1 @ sk4 )
| ~ ( sk3 @ sk4 )
| ( sk3 @ sk4 )
| ~ ( sk3 @ sk4 )
| ~ ( sk2 @ sk4 )
| ( sk2 @ sk4 ) )
& ( ~ ( sk1 @ sk4 )
| ~ ( sk3 @ sk4 )
| ( sk3 @ sk4 )
| ~ ( sk3 @ sk4 )
| ~ ( sk2 @ sk4 )
| ~ ( sk1 @ sk4 ) )
& ( ~ ( sk1 @ sk4 )
| ~ ( sk3 @ sk4 )
| ~ ( sk2 @ sk4 )
| ~ ( sk1 @ sk4 )
| ( sk2 @ sk4 )
| ( sk3 @ sk4 ) )
& ( ~ ( sk1 @ sk4 )
| ~ ( sk3 @ sk4 )
| ~ ( sk2 @ sk4 )
| ~ ( sk2 @ sk4 )
| ( sk1 @ sk4 )
| ( sk3 @ sk4 ) )
& ( ~ ( sk1 @ sk4 )
| ~ ( sk3 @ sk4 )
| ~ ( sk2 @ sk4 )
| ~ ( sk3 @ sk4 )
| ( sk1 @ sk4 )
| ( sk2 @ sk4 ) )
& ( ~ ( sk1 @ sk4 )
| ~ ( sk3 @ sk4 )
| ~ ( sk2 @ sk4 )
| ~ ( sk3 @ sk4 )
| ( sk1 @ sk4 )
| ~ ( sk1 @ sk4 ) )
& ( ~ ( sk1 @ sk4 )
| ~ ( sk3 @ sk4 )
| ~ ( sk2 @ sk4 )
| ~ ( sk3 @ sk4 )
| ~ ( sk2 @ sk4 )
| ( sk2 @ sk4 ) )
& ( ~ ( sk1 @ sk4 )
| ~ ( sk3 @ sk4 )
| ~ ( sk2 @ sk4 )
| ~ ( sk3 @ sk4 )
| ~ ( sk2 @ sk4 )
| ~ ( sk1 @ sk4 ) )
& ( ~ ( sk2 @ sk4 )
| ( sk3 @ sk4 )
| ( sk1 @ sk4 )
| ~ ( sk1 @ sk4 )
| ( sk2 @ sk4 )
| ( sk3 @ sk4 ) )
& ( ~ ( sk2 @ sk4 )
| ( sk3 @ sk4 )
| ( sk1 @ sk4 )
| ~ ( sk2 @ sk4 )
| ( sk1 @ sk4 )
| ( sk3 @ sk4 ) )
& ( ~ ( sk2 @ sk4 )
| ( sk3 @ sk4 )
| ( sk1 @ sk4 )
| ~ ( sk3 @ sk4 )
| ( sk1 @ sk4 )
| ( sk2 @ sk4 ) )
& ( ~ ( sk2 @ sk4 )
| ( sk3 @ sk4 )
| ( sk1 @ sk4 )
| ~ ( sk3 @ sk4 )
| ( sk1 @ sk4 )
| ~ ( sk1 @ sk4 ) )
& ( ~ ( sk2 @ sk4 )
| ( sk3 @ sk4 )
| ( sk1 @ sk4 )
| ~ ( sk3 @ sk4 )
| ~ ( sk2 @ sk4 )
| ( sk2 @ sk4 ) )
& ( ~ ( sk2 @ sk4 )
| ( sk3 @ sk4 )
| ( sk1 @ sk4 )
| ~ ( sk3 @ sk4 )
| ~ ( sk2 @ sk4 )
| ~ ( sk1 @ sk4 ) )
& ( ~ ( sk3 @ sk4 )
| ( sk2 @ sk4 )
| ( sk1 @ sk4 )
| ~ ( sk1 @ sk4 )
| ( sk2 @ sk4 )
| ( sk3 @ sk4 ) )
& ( ~ ( sk3 @ sk4 )
| ( sk2 @ sk4 )
| ( sk1 @ sk4 )
| ~ ( sk2 @ sk4 )
| ( sk1 @ sk4 )
| ( sk3 @ sk4 ) )
& ( ~ ( sk3 @ sk4 )
| ( sk2 @ sk4 )
| ( sk1 @ sk4 )
| ~ ( sk3 @ sk4 )
| ( sk1 @ sk4 )
| ( sk2 @ sk4 ) )
& ( ~ ( sk3 @ sk4 )
| ( sk2 @ sk4 )
| ( sk1 @ sk4 )
| ~ ( sk3 @ sk4 )
| ( sk1 @ sk4 )
| ~ ( sk1 @ sk4 ) )
& ( ~ ( sk3 @ sk4 )
| ( sk2 @ sk4 )
| ( sk1 @ sk4 )
| ~ ( sk3 @ sk4 )
| ~ ( sk2 @ sk4 )
| ( sk2 @ sk4 ) )
& ( ~ ( sk3 @ sk4 )
| ( sk2 @ sk4 )
| ( sk1 @ sk4 )
| ~ ( sk3 @ sk4 )
| ~ ( sk2 @ sk4 )
| ~ ( sk1 @ sk4 ) ) ),
inference(cnf,[status(esa)],[9]) ).
thf(39,plain,
( ~ ( sk3 @ sk4 )
| ( sk2 @ sk4 )
| ( sk1 @ sk4 )
| ~ ( sk3 @ sk4 )
| ( sk1 @ sk4 )
| ( sk2 @ sk4 ) ),
inference(cnfConj,[status(thm)],[11]) ).
thf(44,plain,
( ~ ( sk3 @ sk4 )
| ( sk2 @ sk4 )
| ( sk1 @ sk4 ) ),
inference(simp,[status(thm)],[39]) ).
thf(2682,plain,
( ( sk1 @ sk4 )
| ( sk2 @ sk4 )
| ~ $true
| ( sk2 @ sk4 )
| ( sk1 @ sk4 )
| ( ( sk3 @ sk4 )
!= ( sk3 @ sk4 ) ) ),
inference(paramod_ordered,[status(thm)],[593,44]) ).
thf(2683,plain,
( ( sk1 @ sk4 )
| ( sk2 @ sk4 )
| ( ( sk3 @ sk4 )
!= ( sk3 @ sk4 ) ) ),
inference(simp,[status(thm)],[2682]) ).
thf(2684,plain,
( ( sk1 @ sk4 )
| ( sk2 @ sk4 ) ),
inference(pattern_uni,[status(thm)],[2683:[]]) ).
thf(23,plain,
( ~ ( sk2 @ sk4 )
| ( sk3 @ sk4 )
| ( sk1 @ sk4 )
| ~ ( sk2 @ sk4 )
| ( sk1 @ sk4 )
| ( sk3 @ sk4 ) ),
inference(cnfConj,[status(thm)],[11]) ).
thf(68,plain,
( ~ ( sk2 @ sk4 )
| ( sk3 @ sk4 )
| ( sk1 @ sk4 ) ),
inference(simp,[status(thm)],[23]) ).
thf(371,plain,
( ( sk1 @ sk4 )
| ~ ( sk3 @ sk4 )
| ~ ( sk3 @ sk4 )
| ~ ( sk2 @ sk4 )
| ~ ( sk2 @ sk4 )
| ( sk1 @ sk4 ) ),
inference(cnfConj,[status(thm)],[209]) ).
thf(496,plain,
( ( sk1 @ sk4 )
| ~ ( sk3 @ sk4 )
| ~ ( sk2 @ sk4 ) ),
inference(simp,[status(thm)],[371]) ).
thf(2673,plain,
( ~ ( sk2 @ sk4 )
| ( sk1 @ sk4 )
| ( sk1 @ sk4 )
| ~ $true
| ~ ( sk2 @ sk4 )
| ( ( sk3 @ sk4 )
!= ( sk3 @ sk4 ) ) ),
inference(paramod_ordered,[status(thm)],[68,496]) ).
thf(2674,plain,
( ~ ( sk2 @ sk4 )
| ( sk1 @ sk4 )
| ( ( sk3 @ sk4 )
!= ( sk3 @ sk4 ) ) ),
inference(simp,[status(thm)],[2673]) ).
thf(2675,plain,
( ~ ( sk2 @ sk4 )
| ( sk1 @ sk4 ) ),
inference(pattern_uni,[status(thm)],[2674:[]]) ).
thf(2846,plain,
( ( sk1 @ sk4 )
| ~ $true
| ( sk1 @ sk4 )
| ( ( sk2 @ sk4 )
!= ( sk2 @ sk4 ) ) ),
inference(paramod_ordered,[status(thm)],[2684,2675]) ).
thf(2847,plain,
( ( sk1 @ sk4 )
| ( ( sk2 @ sk4 )
!= ( sk2 @ sk4 ) ) ),
inference(simp,[status(thm)],[2846]) ).
thf(2848,plain,
sk1 @ sk4,
inference(pattern_uni,[status(thm)],[2847:[]]) ).
thf(2952,plain,
( ( ( $true
& ~ ( ( ( sk2 @ sk4 )
& ~ ( sk3 @ sk4 ) )
| ( ( sk3 @ sk4 )
& ~ ( sk2 @ sk4 ) ) ) )
| ( ( ( ( sk2 @ sk4 )
& ~ ( sk3 @ sk4 ) )
| ( ( sk3 @ sk4 )
& ~ ( sk2 @ sk4 ) ) )
& ~ $true ) )
!= ( ( ( ( $true
& ~ ( sk2 @ sk4 ) )
| ( ( sk2 @ sk4 )
& ~ $true ) )
& ~ ( sk3 @ sk4 ) )
| ( ( sk3 @ sk4 )
& ~ ( ( $true
& ~ ( sk2 @ sk4 ) )
| ( ( sk2 @ sk4 )
& ~ $true ) ) ) ) ),
inference(rewrite,[status(thm)],[7,2848]) ).
thf(2953,plain,
( ( ~ ( ( ( sk2 @ sk4 )
& ~ ( sk3 @ sk4 ) )
| ( ( sk3 @ sk4 )
& ~ ( sk2 @ sk4 ) ) ) )
!= ( ( ~ ( sk2 @ sk4 )
& ~ ( sk3 @ sk4 ) )
| ( ( sk3 @ sk4 )
& ( sk2 @ sk4 ) ) ) ),
inference(simp,[status(thm)],[2952]) ).
thf(307,plain,
( ~ ( sk2 @ sk4 )
| ( sk3 @ sk4 )
| ~ ( sk2 @ sk4 )
| ~ ( sk1 @ sk4 )
| ~ ( sk1 @ sk4 )
| ( sk3 @ sk4 ) ),
inference(cnfConj,[status(thm)],[209]) ).
thf(462,plain,
( ~ ( sk2 @ sk4 )
| ( sk3 @ sk4 )
| ~ ( sk1 @ sk4 ) ),
inference(simp,[status(thm)],[307]) ).
thf(41,plain,
( ~ ( sk1 @ sk4 )
| ~ ( sk3 @ sk4 )
| ~ ( sk2 @ sk4 )
| ~ ( sk3 @ sk4 )
| ~ ( sk2 @ sk4 )
| ~ ( sk1 @ sk4 ) ),
inference(cnfConj,[status(thm)],[11]) ).
thf(58,plain,
( ~ ( sk1 @ sk4 )
| ~ ( sk3 @ sk4 )
| ~ ( sk2 @ sk4 ) ),
inference(simp,[status(thm)],[41]) ).
thf(2583,plain,
( ~ ( sk2 @ sk4 )
| ~ ( sk1 @ sk4 )
| ~ ( sk1 @ sk4 )
| ~ $true
| ~ ( sk2 @ sk4 )
| ( ( sk3 @ sk4 )
!= ( sk3 @ sk4 ) ) ),
inference(paramod_ordered,[status(thm)],[462,58]) ).
thf(2584,plain,
( ~ ( sk2 @ sk4 )
| ~ ( sk1 @ sk4 )
| ( ( sk3 @ sk4 )
!= ( sk3 @ sk4 ) ) ),
inference(simp,[status(thm)],[2583]) ).
thf(2585,plain,
( ~ ( sk2 @ sk4 )
| ~ ( sk1 @ sk4 ) ),
inference(pattern_uni,[status(thm)],[2584:[]]) ).
thf(2950,plain,
( ~ ( sk2 @ sk4 )
| ~ $true ),
inference(rewrite,[status(thm)],[2585,2848]) ).
thf(2951,plain,
~ ( sk2 @ sk4 ),
inference(simp,[status(thm)],[2950]) ).
thf(3023,plain,
( ( ( ~ $false
& ~ ( sk3 @ sk4 ) )
| ( ( sk3 @ sk4 )
& $false ) )
!= ( ~ ( ( $false
& ~ ( sk3 @ sk4 ) )
| ( ( sk3 @ sk4 )
& ~ $false ) ) ) ),
inference(rewrite,[status(thm)],[2953,2951]) ).
thf(3024,plain,
$false,
inference(simp,[status(thm)],[3023]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET623^5 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.08 % Command : java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox/solver/bin/leo3.jar /export/starexec/sandbox/benchmark/theBenchmark.p -t 300 -p --atp eprover=/export/starexec/sandbox/solver/bin/externals/eprover --instantiate 39
% 0.10/0.21 % Computer : n026.cluster.edu
% 0.10/0.21 % Model : x86_64 x86_64
% 0.10/0.21 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.21 % Memory : 8046.5625MB
% 0.10/0.21 % OS : Linux 6.8.0-71-generic
% 0.10/0.21 % CPULimit : 300
% 0.10/0.21 % WCLimit : 300
% 0.10/0.21 % DateTime : Tue Sep 29 13:42:27 UTC 2026
% 0.10/0.21 % CPUTime :
% 0.10/0.21 Running java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox/solver/bin/leo3.jar /export/starexec/sandbox/benchmark/theBenchmark.p -t 300 -p --atp eprover=/export/starexec/sandbox/solver/bin/externals/eprover --instantiate 39
% 1.03/0.81 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.22/0.99 % [INFO] Parsing done (183ms).
% 1.22/1.01 % [INFO] Running in sequential loop mode.
% 2.02/1.42 % [INFO] eprover registered as external prover.
% 2.02/1.43 % [INFO] Scanning for conjecture ...
% 2.22/1.52 % [INFO] Found a conjecture (or negated_conjecture) and 0 axioms. Running axiom selection ...
% 2.22/1.56 % [INFO] Axiom selection finished. Selected 0 axioms (removed 0 axioms).
% 2.22/1.56 % [INFO] Problem is higher-order (TPTP THF).
% 2.22/1.56 % [INFO] Type checking passed.
% 2.22/1.57 % [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 ...
% 18.30/6.24 % [INFO] Killing All external provers ...
% 18.30/6.26 % Time passed: 5883ms (effective reasoning time: 5232ms)
% 18.30/6.26 % 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)>
% 18.30/6.26 % Axioms used in derivation (0):
% 18.30/6.26 % No. of inferences in proof: 41
% 18.30/6.26 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 5883 ms resp. 5232 ms w/o parsing
% 15.16/6.42 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 15.16/6.42 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------