%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : NUM588+3 : 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 : n017.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 : Sun Sep 27 08:09:14 AM UTC 2026
% Result : Theorem 20.23s 5.94s
% Output : Refutation 20.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 5
% Syntax : Number of formulae : 23 ( 10 unt; 0 typ; 4 def)
% Number of atoms : 327 ( 42 equ; 0 cnn)
% Maximal formula atoms : 44 ( 14 avg)
% Number of connectives : 1811 ( 63 ~; 40 |; 164 &;1456 @)
% ( 4 <=>; 84 =>; 0 <=; 0 <~>)
% Maximal formula depth : 44 ( 8 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 21 ( 18 usr; 9 con; 0-2 aty)
% Number of variables : 88 ( 0 ^; 84 !; 0 ?; 88 :)
% ( 0 !>; 0 ?*; 0 @-; 4 @+)
% Comments :
%------------------------------------------------------------------------------
thf(aSet0_decl,type,
aSet0: $i > $o ).
thf(aElementOf0_decl,type,
aElementOf0: $i > $i > $o ).
thf(aSubsetOf0_decl,type,
aSubsetOf0: $i > $i > $o ).
thf(aElement0_decl,type,
aElement0: $i > $o ).
thf(sdtmndt0_decl,type,
sdtmndt0: $i > $i > $i ).
thf(szNzAzT0_decl,type,
szNzAzT0: $i ).
thf(szmzizndt0_decl,type,
szmzizndt0: $i > $i ).
thf(sdtlseqdt0_decl,type,
sdtlseqdt0: $i > $i > $o ).
thf(slbdtsldtrb0_decl,type,
slbdtsldtrb0: $i > $i > $i ).
thf(sbrdtbr0_decl,type,
sbrdtbr0: $i > $i ).
thf(sdtlpdtrp0_decl,type,
sdtlpdtrp0: $i > $i > $i ).
thf(xN_decl,type,
xN: $i ).
thf(isCountable0_decl,type,
isCountable0: $i > $o ).
thf(xk_decl,type,
xk: $i ).
thf(sk1_decl,type,
sk1: $i ).
thf(sk2_decl,type,
sk2: $i ).
thf(sk3_decl,type,
sk3: $i ).
thf(sk4_decl,type,
sk4: $i ).
thf(sk1_def,definition,
( sk1
= ( @+[A: $i] :
~ ( ( szNzAzT0 @ ( A @ aElementOf0 ) )
=> ! [B: $i] :
( ( ( B @ isCountable0 )
& ( A @ ( xN @ sdtlpdtrp0 ) @ szmzizndt0 @ ( A @ ( xN @ sdtlpdtrp0 ) @ sdtmndt0 ) @ ( B @ aSubsetOf0 ) )
& ! [C: $i] :
( ( B @ ( C @ aElementOf0 ) )
=> ( A @ ( xN @ sdtlpdtrp0 ) @ szmzizndt0 @ ( A @ ( xN @ sdtlpdtrp0 ) @ sdtmndt0 ) @ ( C @ aElementOf0 ) ) )
& ( B @ aSet0 )
& ! [C: $i] :
( ( ( C
!= ( A @ ( xN @ sdtlpdtrp0 ) @ szmzizndt0 ) )
& ( A @ ( xN @ sdtlpdtrp0 ) @ ( C @ aElementOf0 ) )
& ( C @ aElement0 ) )
=> ( A @ ( xN @ sdtlpdtrp0 ) @ szmzizndt0 @ ( A @ ( xN @ sdtlpdtrp0 ) @ sdtmndt0 ) @ ( C @ aElementOf0 ) ) )
& ! [C: $i] :
( ( A @ ( xN @ sdtlpdtrp0 ) @ szmzizndt0 @ ( A @ ( xN @ sdtlpdtrp0 ) @ sdtmndt0 ) @ ( C @ aElementOf0 ) )
=> ( ( C
!= ( A @ ( xN @ sdtlpdtrp0 ) @ szmzizndt0 ) )
& ( A @ ( xN @ sdtlpdtrp0 ) @ ( C @ aElementOf0 ) )
& ( C @ aElement0 ) ) )
& ( A @ ( xN @ sdtlpdtrp0 ) @ szmzizndt0 @ ( A @ ( xN @ sdtlpdtrp0 ) @ sdtmndt0 ) @ aSet0 )
& ! [C: $i] :
( ( A @ ( xN @ sdtlpdtrp0 ) @ ( C @ aElementOf0 ) )
=> ( C @ ( A @ ( xN @ sdtlpdtrp0 ) @ szmzizndt0 @ sdtlseqdt0 ) ) )
& ( A @ ( xN @ sdtlpdtrp0 ) @ ( A @ ( xN @ sdtlpdtrp0 ) @ szmzizndt0 @ aElementOf0 ) ) )
=> ! [C: $i] :
( ( ( xk @ ( B @ slbdtsldtrb0 ) @ ( C @ aElementOf0 ) )
& ( ( C @ sbrdtbr0 )
= xk )
& ( B @ ( C @ aSubsetOf0 ) )
& ! [D: $i] :
( ( C @ ( D @ aElementOf0 ) )
=> ( B @ ( D @ aElementOf0 ) ) )
& ( C @ aSet0 ) )
=> ( ( ! [D: $i] :
( ( A @ ( xN @ sdtlpdtrp0 ) @ ( D @ aElementOf0 ) )
=> ( D @ ( A @ ( xN @ sdtlpdtrp0 ) @ szmzizndt0 @ sdtlseqdt0 ) ) )
& ( A @ ( xN @ sdtlpdtrp0 ) @ ( A @ ( xN @ sdtlpdtrp0 ) @ szmzizndt0 @ aElementOf0 ) ) )
=> ( ( ! [D: $i] :
( ( ( D
!= ( A @ ( xN @ sdtlpdtrp0 ) @ szmzizndt0 ) )
& ( A @ ( xN @ sdtlpdtrp0 ) @ ( D @ aElementOf0 ) )
& ( D @ aElement0 ) )
=> ( A @ ( xN @ sdtlpdtrp0 ) @ szmzizndt0 @ ( A @ ( xN @ sdtlpdtrp0 ) @ sdtmndt0 ) @ ( D @ aElementOf0 ) ) )
& ! [D: $i] :
( ( A @ ( xN @ sdtlpdtrp0 ) @ szmzizndt0 @ ( A @ ( xN @ sdtlpdtrp0 ) @ sdtmndt0 ) @ ( D @ aElementOf0 ) )
=> ( ( D
!= ( A @ ( xN @ sdtlpdtrp0 ) @ szmzizndt0 ) )
& ( A @ ( xN @ sdtlpdtrp0 ) @ ( D @ aElementOf0 ) )
& ( D @ aElement0 ) ) )
& ( A @ ( xN @ sdtlpdtrp0 ) @ szmzizndt0 @ ( A @ ( xN @ sdtlpdtrp0 ) @ sdtmndt0 ) @ aSet0 ) )
=> ( ( xk @ ( A @ ( xN @ sdtlpdtrp0 ) @ szmzizndt0 @ ( A @ ( xN @ sdtlpdtrp0 ) @ sdtmndt0 ) @ slbdtsldtrb0 ) @ ( C @ aElementOf0 ) )
| ( A @ ( xN @ sdtlpdtrp0 ) @ szmzizndt0 @ ( A @ ( xN @ sdtlpdtrp0 ) @ sdtmndt0 ) @ ( C @ aSubsetOf0 ) )
| ! [D: $i] :
( ( C @ ( D @ aElementOf0 ) )
=> ( A @ ( xN @ sdtlpdtrp0 ) @ szmzizndt0 @ ( A @ ( xN @ sdtlpdtrp0 ) @ sdtmndt0 ) @ ( D @ aElementOf0 ) ) ) ) ) ) ) ) ) ) ) ).
thf(sk2_def,definition,
( sk2
= ( @+[A: $i] :
~ ( ( ( A @ isCountable0 )
& ( sk1 @ ( xN @ sdtlpdtrp0 ) @ szmzizndt0 @ ( sk1 @ ( xN @ sdtlpdtrp0 ) @ sdtmndt0 ) @ ( A @ aSubsetOf0 ) )
& ! [B: $i] :
( ( A @ ( B @ aElementOf0 ) )
=> ( sk1 @ ( xN @ sdtlpdtrp0 ) @ szmzizndt0 @ ( sk1 @ ( xN @ sdtlpdtrp0 ) @ sdtmndt0 ) @ ( B @ aElementOf0 ) ) )
& ( A @ aSet0 )
& ! [B: $i] :
( ( ( B
!= ( sk1 @ ( xN @ sdtlpdtrp0 ) @ szmzizndt0 ) )
& ( sk1 @ ( xN @ sdtlpdtrp0 ) @ ( B @ aElementOf0 ) )
& ( B @ aElement0 ) )
=> ( sk1 @ ( xN @ sdtlpdtrp0 ) @ szmzizndt0 @ ( sk1 @ ( xN @ sdtlpdtrp0 ) @ sdtmndt0 ) @ ( B @ aElementOf0 ) ) )
& ! [B: $i] :
( ( sk1 @ ( xN @ sdtlpdtrp0 ) @ szmzizndt0 @ ( sk1 @ ( xN @ sdtlpdtrp0 ) @ sdtmndt0 ) @ ( B @ aElementOf0 ) )
=> ( ( B
!= ( sk1 @ ( xN @ sdtlpdtrp0 ) @ szmzizndt0 ) )
& ( sk1 @ ( xN @ sdtlpdtrp0 ) @ ( B @ aElementOf0 ) )
& ( B @ aElement0 ) ) )
& ( sk1 @ ( xN @ sdtlpdtrp0 ) @ szmzizndt0 @ ( sk1 @ ( xN @ sdtlpdtrp0 ) @ sdtmndt0 ) @ aSet0 )
& ! [B: $i] :
( ( sk1 @ ( xN @ sdtlpdtrp0 ) @ ( B @ aElementOf0 ) )
=> ( B @ ( sk1 @ ( xN @ sdtlpdtrp0 ) @ szmzizndt0 @ sdtlseqdt0 ) ) )
& ( sk1 @ ( xN @ sdtlpdtrp0 ) @ ( sk1 @ ( xN @ sdtlpdtrp0 ) @ szmzizndt0 @ aElementOf0 ) ) )
=> ! [B: $i] :
( ( ( xk @ ( A @ slbdtsldtrb0 ) @ ( B @ aElementOf0 ) )
& ( ( B @ sbrdtbr0 )
= xk )
& ( A @ ( B @ aSubsetOf0 ) )
& ! [C: $i] :
( ( B @ ( C @ aElementOf0 ) )
=> ( A @ ( C @ aElementOf0 ) ) )
& ( B @ aSet0 ) )
=> ( ( ! [C: $i] :
( ( sk1 @ ( xN @ sdtlpdtrp0 ) @ ( C @ aElementOf0 ) )
=> ( C @ ( sk1 @ ( xN @ sdtlpdtrp0 ) @ szmzizndt0 @ sdtlseqdt0 ) ) )
& ( sk1 @ ( xN @ sdtlpdtrp0 ) @ ( sk1 @ ( xN @ sdtlpdtrp0 ) @ szmzizndt0 @ aElementOf0 ) ) )
=> ( ( ! [C: $i] :
( ( ( C
!= ( sk1 @ ( xN @ sdtlpdtrp0 ) @ szmzizndt0 ) )
& ( sk1 @ ( xN @ sdtlpdtrp0 ) @ ( C @ aElementOf0 ) )
& ( C @ aElement0 ) )
=> ( sk1 @ ( xN @ sdtlpdtrp0 ) @ szmzizndt0 @ ( sk1 @ ( xN @ sdtlpdtrp0 ) @ sdtmndt0 ) @ ( C @ aElementOf0 ) ) )
& ! [C: $i] :
( ( sk1 @ ( xN @ sdtlpdtrp0 ) @ szmzizndt0 @ ( sk1 @ ( xN @ sdtlpdtrp0 ) @ sdtmndt0 ) @ ( C @ aElementOf0 ) )
=> ( ( C
!= ( sk1 @ ( xN @ sdtlpdtrp0 ) @ szmzizndt0 ) )
& ( sk1 @ ( xN @ sdtlpdtrp0 ) @ ( C @ aElementOf0 ) )
& ( C @ aElement0 ) ) )
& ( sk1 @ ( xN @ sdtlpdtrp0 ) @ szmzizndt0 @ ( sk1 @ ( xN @ sdtlpdtrp0 ) @ sdtmndt0 ) @ aSet0 ) )
=> ( ( xk @ ( sk1 @ ( xN @ sdtlpdtrp0 ) @ szmzizndt0 @ ( sk1 @ ( xN @ sdtlpdtrp0 ) @ sdtmndt0 ) @ slbdtsldtrb0 ) @ ( B @ aElementOf0 ) )
| ( sk1 @ ( xN @ sdtlpdtrp0 ) @ szmzizndt0 @ ( sk1 @ ( xN @ sdtlpdtrp0 ) @ sdtmndt0 ) @ ( B @ aSubsetOf0 ) )
| ! [C: $i] :
( ( B @ ( C @ aElementOf0 ) )
=> ( sk1 @ ( xN @ sdtlpdtrp0 ) @ szmzizndt0 @ ( sk1 @ ( xN @ sdtlpdtrp0 ) @ sdtmndt0 ) @ ( C @ aElementOf0 ) ) ) ) ) ) ) ) ) ) ).
thf(sk3_def,definition,
( sk3
= ( @+[A: $i] :
~ ( ( ( xk @ ( sk2 @ slbdtsldtrb0 ) @ ( A @ aElementOf0 ) )
& ( ( A @ sbrdtbr0 )
= xk )
& ( sk2 @ ( A @ aSubsetOf0 ) )
& ! [B: $i] :
( ( A @ ( B @ aElementOf0 ) )
=> ( sk2 @ ( B @ aElementOf0 ) ) )
& ( A @ aSet0 ) )
=> ( ( ! [B: $i] :
( ( sk1 @ ( xN @ sdtlpdtrp0 ) @ ( B @ aElementOf0 ) )
=> ( B @ ( sk1 @ ( xN @ sdtlpdtrp0 ) @ szmzizndt0 @ sdtlseqdt0 ) ) )
& ( sk1 @ ( xN @ sdtlpdtrp0 ) @ ( sk1 @ ( xN @ sdtlpdtrp0 ) @ szmzizndt0 @ aElementOf0 ) ) )
=> ( ( ! [B: $i] :
( ( ( B
!= ( sk1 @ ( xN @ sdtlpdtrp0 ) @ szmzizndt0 ) )
& ( sk1 @ ( xN @ sdtlpdtrp0 ) @ ( B @ aElementOf0 ) )
& ( B @ aElement0 ) )
=> ( sk1 @ ( xN @ sdtlpdtrp0 ) @ szmzizndt0 @ ( sk1 @ ( xN @ sdtlpdtrp0 ) @ sdtmndt0 ) @ ( B @ aElementOf0 ) ) )
& ! [B: $i] :
( ( sk1 @ ( xN @ sdtlpdtrp0 ) @ szmzizndt0 @ ( sk1 @ ( xN @ sdtlpdtrp0 ) @ sdtmndt0 ) @ ( B @ aElementOf0 ) )
=> ( ( B
!= ( sk1 @ ( xN @ sdtlpdtrp0 ) @ szmzizndt0 ) )
& ( sk1 @ ( xN @ sdtlpdtrp0 ) @ ( B @ aElementOf0 ) )
& ( B @ aElement0 ) ) )
& ( sk1 @ ( xN @ sdtlpdtrp0 ) @ szmzizndt0 @ ( sk1 @ ( xN @ sdtlpdtrp0 ) @ sdtmndt0 ) @ aSet0 ) )
=> ( ( xk @ ( sk1 @ ( xN @ sdtlpdtrp0 ) @ szmzizndt0 @ ( sk1 @ ( xN @ sdtlpdtrp0 ) @ sdtmndt0 ) @ slbdtsldtrb0 ) @ ( A @ aElementOf0 ) )
| ( sk1 @ ( xN @ sdtlpdtrp0 ) @ szmzizndt0 @ ( sk1 @ ( xN @ sdtlpdtrp0 ) @ sdtmndt0 ) @ ( A @ aSubsetOf0 ) )
| ! [B: $i] :
( ( A @ ( B @ aElementOf0 ) )
=> ( sk1 @ ( xN @ sdtlpdtrp0 ) @ szmzizndt0 @ ( sk1 @ ( xN @ sdtlpdtrp0 ) @ sdtmndt0 ) @ ( B @ aElementOf0 ) ) ) ) ) ) ) ) ) ).
thf(sk4_def,definition,
( sk4
= ( @+[A: $i] :
~ ( ( sk3 @ ( A @ aElementOf0 ) )
=> ( sk1 @ ( xN @ sdtlpdtrp0 ) @ szmzizndt0 @ ( sk1 @ ( xN @ sdtlpdtrp0 ) @ sdtmndt0 ) @ ( A @ aElementOf0 ) ) ) ) ) ).
thf(1,conjecture,
! [A: $i] :
( ( szNzAzT0 @ ( A @ aElementOf0 ) )
=> ! [B: $i] :
( ( ( B @ isCountable0 )
& ( A @ ( xN @ sdtlpdtrp0 ) @ szmzizndt0 @ ( A @ ( xN @ sdtlpdtrp0 ) @ sdtmndt0 ) @ ( B @ aSubsetOf0 ) )
& ! [C: $i] :
( ( B @ ( C @ aElementOf0 ) )
=> ( A @ ( xN @ sdtlpdtrp0 ) @ szmzizndt0 @ ( A @ ( xN @ sdtlpdtrp0 ) @ sdtmndt0 ) @ ( C @ aElementOf0 ) ) )
& ( B @ aSet0 )
& ! [C: $i] :
( ( A @ ( xN @ sdtlpdtrp0 ) @ szmzizndt0 @ ( A @ ( xN @ sdtlpdtrp0 ) @ sdtmndt0 ) @ ( C @ aElementOf0 ) )
<=> ( ( C
!= ( A @ ( xN @ sdtlpdtrp0 ) @ szmzizndt0 ) )
& ( A @ ( xN @ sdtlpdtrp0 ) @ ( C @ aElementOf0 ) )
& ( C @ aElement0 ) ) )
& ( A @ ( xN @ sdtlpdtrp0 ) @ szmzizndt0 @ ( A @ ( xN @ sdtlpdtrp0 ) @ sdtmndt0 ) @ aSet0 )
& ! [C: $i] :
( ( A @ ( xN @ sdtlpdtrp0 ) @ ( C @ aElementOf0 ) )
=> ( C @ ( A @ ( xN @ sdtlpdtrp0 ) @ szmzizndt0 @ sdtlseqdt0 ) ) )
& ( A @ ( xN @ sdtlpdtrp0 ) @ ( A @ ( xN @ sdtlpdtrp0 ) @ szmzizndt0 @ aElementOf0 ) ) )
=> ! [C: $i] :
( ( ( xk @ ( B @ slbdtsldtrb0 ) @ ( C @ aElementOf0 ) )
& ( ( C @ sbrdtbr0 )
= xk )
& ( B @ ( C @ aSubsetOf0 ) )
& ! [D: $i] :
( ( C @ ( D @ aElementOf0 ) )
=> ( B @ ( D @ aElementOf0 ) ) )
& ( C @ aSet0 ) )
=> ( ( ! [D: $i] :
( ( A @ ( xN @ sdtlpdtrp0 ) @ ( D @ aElementOf0 ) )
=> ( D @ ( A @ ( xN @ sdtlpdtrp0 ) @ szmzizndt0 @ sdtlseqdt0 ) ) )
& ( A @ ( xN @ sdtlpdtrp0 ) @ ( A @ ( xN @ sdtlpdtrp0 ) @ szmzizndt0 @ aElementOf0 ) ) )
=> ( ( ! [D: $i] :
( ( A @ ( xN @ sdtlpdtrp0 ) @ szmzizndt0 @ ( A @ ( xN @ sdtlpdtrp0 ) @ sdtmndt0 ) @ ( D @ aElementOf0 ) )
<=> ( ( D
!= ( A @ ( xN @ sdtlpdtrp0 ) @ szmzizndt0 ) )
& ( A @ ( xN @ sdtlpdtrp0 ) @ ( D @ aElementOf0 ) )
& ( D @ aElement0 ) ) )
& ( A @ ( xN @ sdtlpdtrp0 ) @ szmzizndt0 @ ( A @ ( xN @ sdtlpdtrp0 ) @ sdtmndt0 ) @ aSet0 ) )
=> ( ( xk @ ( A @ ( xN @ sdtlpdtrp0 ) @ szmzizndt0 @ ( A @ ( xN @ sdtlpdtrp0 ) @ sdtmndt0 ) @ slbdtsldtrb0 ) @ ( C @ aElementOf0 ) )
| ( A @ ( xN @ sdtlpdtrp0 ) @ szmzizndt0 @ ( A @ ( xN @ sdtlpdtrp0 ) @ sdtmndt0 ) @ ( C @ aSubsetOf0 ) )
| ! [D: $i] :
( ( C @ ( D @ aElementOf0 ) )
=> ( A @ ( xN @ sdtlpdtrp0 ) @ szmzizndt0 @ ( A @ ( xN @ sdtlpdtrp0 ) @ sdtmndt0 ) @ ( D @ aElementOf0 ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
thf(2,negated_conjecture,
~ ! [A: $i] :
( ( szNzAzT0 @ ( A @ aElementOf0 ) )
=> ! [B: $i] :
( ( ( B @ isCountable0 )
& ( A @ ( xN @ sdtlpdtrp0 ) @ szmzizndt0 @ ( A @ ( xN @ sdtlpdtrp0 ) @ sdtmndt0 ) @ ( B @ aSubsetOf0 ) )
& ! [C: $i] :
( ( B @ ( C @ aElementOf0 ) )
=> ( A @ ( xN @ sdtlpdtrp0 ) @ szmzizndt0 @ ( A @ ( xN @ sdtlpdtrp0 ) @ sdtmndt0 ) @ ( C @ aElementOf0 ) ) )
& ( B @ aSet0 )
& ! [C: $i] :
( ( A @ ( xN @ sdtlpdtrp0 ) @ szmzizndt0 @ ( A @ ( xN @ sdtlpdtrp0 ) @ sdtmndt0 ) @ ( C @ aElementOf0 ) )
<=> ( ( C
!= ( A @ ( xN @ sdtlpdtrp0 ) @ szmzizndt0 ) )
& ( A @ ( xN @ sdtlpdtrp0 ) @ ( C @ aElementOf0 ) )
& ( C @ aElement0 ) ) )
& ( A @ ( xN @ sdtlpdtrp0 ) @ szmzizndt0 @ ( A @ ( xN @ sdtlpdtrp0 ) @ sdtmndt0 ) @ aSet0 )
& ! [C: $i] :
( ( A @ ( xN @ sdtlpdtrp0 ) @ ( C @ aElementOf0 ) )
=> ( C @ ( A @ ( xN @ sdtlpdtrp0 ) @ szmzizndt0 @ sdtlseqdt0 ) ) )
& ( A @ ( xN @ sdtlpdtrp0 ) @ ( A @ ( xN @ sdtlpdtrp0 ) @ szmzizndt0 @ aElementOf0 ) ) )
=> ! [C: $i] :
( ( ( xk @ ( B @ slbdtsldtrb0 ) @ ( C @ aElementOf0 ) )
& ( ( C @ sbrdtbr0 )
= xk )
& ( B @ ( C @ aSubsetOf0 ) )
& ! [D: $i] :
( ( C @ ( D @ aElementOf0 ) )
=> ( B @ ( D @ aElementOf0 ) ) )
& ( C @ aSet0 ) )
=> ( ( ! [D: $i] :
( ( A @ ( xN @ sdtlpdtrp0 ) @ ( D @ aElementOf0 ) )
=> ( D @ ( A @ ( xN @ sdtlpdtrp0 ) @ szmzizndt0 @ sdtlseqdt0 ) ) )
& ( A @ ( xN @ sdtlpdtrp0 ) @ ( A @ ( xN @ sdtlpdtrp0 ) @ szmzizndt0 @ aElementOf0 ) ) )
=> ( ( ! [D: $i] :
( ( A @ ( xN @ sdtlpdtrp0 ) @ szmzizndt0 @ ( A @ ( xN @ sdtlpdtrp0 ) @ sdtmndt0 ) @ ( D @ aElementOf0 ) )
<=> ( ( D
!= ( A @ ( xN @ sdtlpdtrp0 ) @ szmzizndt0 ) )
& ( A @ ( xN @ sdtlpdtrp0 ) @ ( D @ aElementOf0 ) )
& ( D @ aElement0 ) ) )
& ( A @ ( xN @ sdtlpdtrp0 ) @ szmzizndt0 @ ( A @ ( xN @ sdtlpdtrp0 ) @ sdtmndt0 ) @ aSet0 ) )
=> ( ( xk @ ( A @ ( xN @ sdtlpdtrp0 ) @ szmzizndt0 @ ( A @ ( xN @ sdtlpdtrp0 ) @ sdtmndt0 ) @ slbdtsldtrb0 ) @ ( C @ aElementOf0 ) )
| ( A @ ( xN @ sdtlpdtrp0 ) @ szmzizndt0 @ ( A @ ( xN @ sdtlpdtrp0 ) @ sdtmndt0 ) @ ( C @ aSubsetOf0 ) )
| ! [D: $i] :
( ( C @ ( D @ aElementOf0 ) )
=> ( A @ ( xN @ sdtlpdtrp0 ) @ szmzizndt0 @ ( A @ ( xN @ sdtlpdtrp0 ) @ sdtmndt0 ) @ ( D @ aElementOf0 ) ) ) ) ) ) ) ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(90,plain,
~ ! [A: $i] :
( ( szNzAzT0 @ ( A @ aElementOf0 ) )
=> ! [B: $i] :
( ( ( B @ isCountable0 )
& ( A @ ( xN @ sdtlpdtrp0 ) @ szmzizndt0 @ ( A @ ( xN @ sdtlpdtrp0 ) @ sdtmndt0 ) @ ( B @ aSubsetOf0 ) )
& ! [C: $i] :
( ( B @ ( C @ aElementOf0 ) )
=> ( A @ ( xN @ sdtlpdtrp0 ) @ szmzizndt0 @ ( A @ ( xN @ sdtlpdtrp0 ) @ sdtmndt0 ) @ ( C @ aElementOf0 ) ) )
& ( B @ aSet0 )
& ! [C: $i] :
( ( ( ( C
!= ( A @ ( xN @ sdtlpdtrp0 ) @ szmzizndt0 ) )
& ( A @ ( xN @ sdtlpdtrp0 ) @ ( C @ aElementOf0 ) )
& ( C @ aElement0 ) )
=> ( A @ ( xN @ sdtlpdtrp0 ) @ szmzizndt0 @ ( A @ ( xN @ sdtlpdtrp0 ) @ sdtmndt0 ) @ ( C @ aElementOf0 ) ) )
& ( ( A @ ( xN @ sdtlpdtrp0 ) @ szmzizndt0 @ ( A @ ( xN @ sdtlpdtrp0 ) @ sdtmndt0 ) @ ( C @ aElementOf0 ) )
=> ( ( C
!= ( A @ ( xN @ sdtlpdtrp0 ) @ szmzizndt0 ) )
& ( A @ ( xN @ sdtlpdtrp0 ) @ ( C @ aElementOf0 ) )
& ( C @ aElement0 ) ) ) )
& ( A @ ( xN @ sdtlpdtrp0 ) @ szmzizndt0 @ ( A @ ( xN @ sdtlpdtrp0 ) @ sdtmndt0 ) @ aSet0 )
& ! [C: $i] :
( ( A @ ( xN @ sdtlpdtrp0 ) @ ( C @ aElementOf0 ) )
=> ( C @ ( A @ ( xN @ sdtlpdtrp0 ) @ szmzizndt0 @ sdtlseqdt0 ) ) )
& ( A @ ( xN @ sdtlpdtrp0 ) @ ( A @ ( xN @ sdtlpdtrp0 ) @ szmzizndt0 @ aElementOf0 ) ) )
=> ! [C: $i] :
( ( ( xk @ ( B @ slbdtsldtrb0 ) @ ( C @ aElementOf0 ) )
& ( ( C @ sbrdtbr0 )
= xk )
& ( B @ ( C @ aSubsetOf0 ) )
& ! [D: $i] :
( ( C @ ( D @ aElementOf0 ) )
=> ( B @ ( D @ aElementOf0 ) ) )
& ( C @ aSet0 ) )
=> ( ( ! [D: $i] :
( ( A @ ( xN @ sdtlpdtrp0 ) @ ( D @ aElementOf0 ) )
=> ( D @ ( A @ ( xN @ sdtlpdtrp0 ) @ szmzizndt0 @ sdtlseqdt0 ) ) )
& ( A @ ( xN @ sdtlpdtrp0 ) @ ( A @ ( xN @ sdtlpdtrp0 ) @ szmzizndt0 @ aElementOf0 ) ) )
=> ( ( ! [D: $i] :
( ( ( ( D
!= ( A @ ( xN @ sdtlpdtrp0 ) @ szmzizndt0 ) )
& ( A @ ( xN @ sdtlpdtrp0 ) @ ( D @ aElementOf0 ) )
& ( D @ aElement0 ) )
=> ( A @ ( xN @ sdtlpdtrp0 ) @ szmzizndt0 @ ( A @ ( xN @ sdtlpdtrp0 ) @ sdtmndt0 ) @ ( D @ aElementOf0 ) ) )
& ( ( A @ ( xN @ sdtlpdtrp0 ) @ szmzizndt0 @ ( A @ ( xN @ sdtlpdtrp0 ) @ sdtmndt0 ) @ ( D @ aElementOf0 ) )
=> ( ( D
!= ( A @ ( xN @ sdtlpdtrp0 ) @ szmzizndt0 ) )
& ( A @ ( xN @ sdtlpdtrp0 ) @ ( D @ aElementOf0 ) )
& ( D @ aElement0 ) ) ) )
& ( A @ ( xN @ sdtlpdtrp0 ) @ szmzizndt0 @ ( A @ ( xN @ sdtlpdtrp0 ) @ sdtmndt0 ) @ aSet0 ) )
=> ( ( xk @ ( A @ ( xN @ sdtlpdtrp0 ) @ szmzizndt0 @ ( A @ ( xN @ sdtlpdtrp0 ) @ sdtmndt0 ) @ slbdtsldtrb0 ) @ ( C @ aElementOf0 ) )
| ( A @ ( xN @ sdtlpdtrp0 ) @ szmzizndt0 @ ( A @ ( xN @ sdtlpdtrp0 ) @ sdtmndt0 ) @ ( C @ aSubsetOf0 ) )
| ! [D: $i] :
( ( C @ ( D @ aElementOf0 ) )
=> ( A @ ( xN @ sdtlpdtrp0 ) @ szmzizndt0 @ ( A @ ( xN @ sdtlpdtrp0 ) @ sdtmndt0 ) @ ( D @ aElementOf0 ) ) ) ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(91,plain,
~ ! [A: $i] :
( ( szNzAzT0 @ ( A @ aElementOf0 ) )
=> ! [B: $i] :
( ( ( B @ isCountable0 )
& ( A @ ( xN @ sdtlpdtrp0 ) @ szmzizndt0 @ ( A @ ( xN @ sdtlpdtrp0 ) @ sdtmndt0 ) @ ( B @ aSubsetOf0 ) )
& ! [C: $i] :
( ( B @ ( C @ aElementOf0 ) )
=> ( A @ ( xN @ sdtlpdtrp0 ) @ szmzizndt0 @ ( A @ ( xN @ sdtlpdtrp0 ) @ sdtmndt0 ) @ ( C @ aElementOf0 ) ) )
& ( B @ aSet0 )
& ! [C: $i] :
( ( ( C
!= ( A @ ( xN @ sdtlpdtrp0 ) @ szmzizndt0 ) )
& ( A @ ( xN @ sdtlpdtrp0 ) @ ( C @ aElementOf0 ) )
& ( C @ aElement0 ) )
=> ( A @ ( xN @ sdtlpdtrp0 ) @ szmzizndt0 @ ( A @ ( xN @ sdtlpdtrp0 ) @ sdtmndt0 ) @ ( C @ aElementOf0 ) ) )
& ! [C: $i] :
( ( A @ ( xN @ sdtlpdtrp0 ) @ szmzizndt0 @ ( A @ ( xN @ sdtlpdtrp0 ) @ sdtmndt0 ) @ ( C @ aElementOf0 ) )
=> ( ( C
!= ( A @ ( xN @ sdtlpdtrp0 ) @ szmzizndt0 ) )
& ( A @ ( xN @ sdtlpdtrp0 ) @ ( C @ aElementOf0 ) )
& ( C @ aElement0 ) ) )
& ( A @ ( xN @ sdtlpdtrp0 ) @ szmzizndt0 @ ( A @ ( xN @ sdtlpdtrp0 ) @ sdtmndt0 ) @ aSet0 )
& ! [C: $i] :
( ( A @ ( xN @ sdtlpdtrp0 ) @ ( C @ aElementOf0 ) )
=> ( C @ ( A @ ( xN @ sdtlpdtrp0 ) @ szmzizndt0 @ sdtlseqdt0 ) ) )
& ( A @ ( xN @ sdtlpdtrp0 ) @ ( A @ ( xN @ sdtlpdtrp0 ) @ szmzizndt0 @ aElementOf0 ) ) )
=> ! [C: $i] :
( ( ( xk @ ( B @ slbdtsldtrb0 ) @ ( C @ aElementOf0 ) )
& ( ( C @ sbrdtbr0 )
= xk )
& ( B @ ( C @ aSubsetOf0 ) )
& ! [D: $i] :
( ( C @ ( D @ aElementOf0 ) )
=> ( B @ ( D @ aElementOf0 ) ) )
& ( C @ aSet0 ) )
=> ( ( ! [D: $i] :
( ( A @ ( xN @ sdtlpdtrp0 ) @ ( D @ aElementOf0 ) )
=> ( D @ ( A @ ( xN @ sdtlpdtrp0 ) @ szmzizndt0 @ sdtlseqdt0 ) ) )
& ( A @ ( xN @ sdtlpdtrp0 ) @ ( A @ ( xN @ sdtlpdtrp0 ) @ szmzizndt0 @ aElementOf0 ) ) )
=> ( ( ! [D: $i] :
( ( ( D
!= ( A @ ( xN @ sdtlpdtrp0 ) @ szmzizndt0 ) )
& ( A @ ( xN @ sdtlpdtrp0 ) @ ( D @ aElementOf0 ) )
& ( D @ aElement0 ) )
=> ( A @ ( xN @ sdtlpdtrp0 ) @ szmzizndt0 @ ( A @ ( xN @ sdtlpdtrp0 ) @ sdtmndt0 ) @ ( D @ aElementOf0 ) ) )
& ! [D: $i] :
( ( A @ ( xN @ sdtlpdtrp0 ) @ szmzizndt0 @ ( A @ ( xN @ sdtlpdtrp0 ) @ sdtmndt0 ) @ ( D @ aElementOf0 ) )
=> ( ( D
!= ( A @ ( xN @ sdtlpdtrp0 ) @ szmzizndt0 ) )
& ( A @ ( xN @ sdtlpdtrp0 ) @ ( D @ aElementOf0 ) )
& ( D @ aElement0 ) ) )
& ( A @ ( xN @ sdtlpdtrp0 ) @ szmzizndt0 @ ( A @ ( xN @ sdtlpdtrp0 ) @ sdtmndt0 ) @ aSet0 ) )
=> ( ( xk @ ( A @ ( xN @ sdtlpdtrp0 ) @ szmzizndt0 @ ( A @ ( xN @ sdtlpdtrp0 ) @ sdtmndt0 ) @ slbdtsldtrb0 ) @ ( C @ aElementOf0 ) )
| ( A @ ( xN @ sdtlpdtrp0 ) @ szmzizndt0 @ ( A @ ( xN @ sdtlpdtrp0 ) @ sdtmndt0 ) @ ( C @ aSubsetOf0 ) )
| ! [D: $i] :
( ( C @ ( D @ aElementOf0 ) )
=> ( A @ ( xN @ sdtlpdtrp0 ) @ szmzizndt0 @ ( A @ ( xN @ sdtlpdtrp0 ) @ sdtmndt0 ) @ ( D @ aElementOf0 ) ) ) ) ) ) ) ) ),
inference(miniscope,[status(thm)],[90]) ).
thf(92,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( xk @ ( sk1 @ ( xN @ sdtlpdtrp0 ) @ szmzizndt0 @ ( sk1 @ ( xN @ sdtlpdtrp0 ) @ sdtmndt0 ) @ slbdtsldtrb0 ) @ ( sk3 @ aElementOf0 ) )
& ~ ( sk1 @ ( xN @ sdtlpdtrp0 ) @ szmzizndt0 @ ( sk1 @ ( xN @ sdtlpdtrp0 ) @ sdtmndt0 ) @ ( sk3 @ aSubsetOf0 ) )
& ~ ( sk1 @ ( xN @ sdtlpdtrp0 ) @ szmzizndt0 @ ( sk1 @ ( xN @ sdtlpdtrp0 ) @ sdtmndt0 ) @ ( sk4 @ aElementOf0 ) )
& ( sk3 @ ( sk4 @ aElementOf0 ) )
& ( ( sk1 @ ( xN @ sdtlpdtrp0 ) @ szmzizndt0 @ ( sk1 @ ( xN @ sdtlpdtrp0 ) @ sdtmndt0 ) @ ( H @ aElementOf0 ) )
| ( H
= ( sk1 @ ( xN @ sdtlpdtrp0 ) @ szmzizndt0 ) )
| ~ ( sk1 @ ( xN @ sdtlpdtrp0 ) @ ( H @ aElementOf0 ) )
| ~ ( H @ aElement0 ) )
& ( ( G
!= ( sk1 @ ( xN @ sdtlpdtrp0 ) @ szmzizndt0 ) )
| ~ ( sk1 @ ( xN @ sdtlpdtrp0 ) @ szmzizndt0 @ ( sk1 @ ( xN @ sdtlpdtrp0 ) @ sdtmndt0 ) @ ( G @ aElementOf0 ) ) )
& ( ( sk1 @ ( xN @ sdtlpdtrp0 ) @ ( G @ aElementOf0 ) )
| ~ ( sk1 @ ( xN @ sdtlpdtrp0 ) @ szmzizndt0 @ ( sk1 @ ( xN @ sdtlpdtrp0 ) @ sdtmndt0 ) @ ( G @ aElementOf0 ) ) )
& ( ( G @ aElement0 )
| ~ ( sk1 @ ( xN @ sdtlpdtrp0 ) @ szmzizndt0 @ ( sk1 @ ( xN @ sdtlpdtrp0 ) @ sdtmndt0 ) @ ( G @ aElementOf0 ) ) )
& ( sk1 @ ( xN @ sdtlpdtrp0 ) @ szmzizndt0 @ ( sk1 @ ( xN @ sdtlpdtrp0 ) @ sdtmndt0 ) @ aSet0 )
& ( ( F @ ( sk1 @ ( xN @ sdtlpdtrp0 ) @ szmzizndt0 @ sdtlseqdt0 ) )
| ~ ( sk1 @ ( xN @ sdtlpdtrp0 ) @ ( F @ aElementOf0 ) ) )
& ( sk1 @ ( xN @ sdtlpdtrp0 ) @ ( sk1 @ ( xN @ sdtlpdtrp0 ) @ szmzizndt0 @ aElementOf0 ) )
& ( xk @ ( sk2 @ slbdtsldtrb0 ) @ ( sk3 @ aElementOf0 ) )
& ( ( sk3 @ sbrdtbr0 )
= xk )
& ( sk2 @ ( sk3 @ aSubsetOf0 ) )
& ( ( sk2 @ ( E @ aElementOf0 ) )
| ~ ( sk3 @ ( E @ aElementOf0 ) ) )
& ( sk3 @ aSet0 )
& ( sk2 @ isCountable0 )
& ( sk1 @ ( xN @ sdtlpdtrp0 ) @ szmzizndt0 @ ( sk1 @ ( xN @ sdtlpdtrp0 ) @ sdtmndt0 ) @ ( sk2 @ aSubsetOf0 ) )
& ( ( sk1 @ ( xN @ sdtlpdtrp0 ) @ szmzizndt0 @ ( sk1 @ ( xN @ sdtlpdtrp0 ) @ sdtmndt0 ) @ ( D @ aElementOf0 ) )
| ~ ( sk2 @ ( D @ aElementOf0 ) ) )
& ( sk2 @ aSet0 )
& ( ( sk1 @ ( xN @ sdtlpdtrp0 ) @ szmzizndt0 @ ( sk1 @ ( xN @ sdtlpdtrp0 ) @ sdtmndt0 ) @ ( C @ aElementOf0 ) )
| ( C
= ( sk1 @ ( xN @ sdtlpdtrp0 ) @ szmzizndt0 ) )
| ~ ( sk1 @ ( xN @ sdtlpdtrp0 ) @ ( C @ aElementOf0 ) )
| ~ ( C @ aElement0 ) )
& ( ( B
!= ( sk1 @ ( xN @ sdtlpdtrp0 ) @ szmzizndt0 ) )
| ~ ( sk1 @ ( xN @ sdtlpdtrp0 ) @ szmzizndt0 @ ( sk1 @ ( xN @ sdtlpdtrp0 ) @ sdtmndt0 ) @ ( B @ aElementOf0 ) ) )
& ( ( sk1 @ ( xN @ sdtlpdtrp0 ) @ ( B @ aElementOf0 ) )
| ~ ( sk1 @ ( xN @ sdtlpdtrp0 ) @ szmzizndt0 @ ( sk1 @ ( xN @ sdtlpdtrp0 ) @ sdtmndt0 ) @ ( B @ aElementOf0 ) ) )
& ( ( B @ aElement0 )
| ~ ( sk1 @ ( xN @ sdtlpdtrp0 ) @ szmzizndt0 @ ( sk1 @ ( xN @ sdtlpdtrp0 ) @ sdtmndt0 ) @ ( B @ aElementOf0 ) ) )
& ( sk1 @ ( xN @ sdtlpdtrp0 ) @ szmzizndt0 @ ( sk1 @ ( xN @ sdtlpdtrp0 ) @ sdtmndt0 ) @ aSet0 )
& ( ( A @ ( sk1 @ ( xN @ sdtlpdtrp0 ) @ szmzizndt0 @ sdtlseqdt0 ) )
| ~ ( sk1 @ ( xN @ sdtlpdtrp0 ) @ ( A @ aElementOf0 ) ) )
& ( sk1 @ ( xN @ sdtlpdtrp0 ) @ ( sk1 @ ( xN @ sdtlpdtrp0 ) @ szmzizndt0 @ aElementOf0 ) )
& ( szNzAzT0 @ ( sk1 @ aElementOf0 ) ) ),
inference(cnf,[status(esa)],[91]) ).
thf(116,plain,
! [A: $i] :
( ( sk1 @ ( xN @ sdtlpdtrp0 ) @ szmzizndt0 @ ( sk1 @ ( xN @ sdtlpdtrp0 ) @ sdtmndt0 ) @ ( A @ aElementOf0 ) )
| ~ ( sk2 @ ( A @ aElementOf0 ) ) ),
inference(cnfConj,[status(thm)],[92]) ).
thf(122,plain,
! [A: $i] :
( ( sk1 @ ( xN @ sdtlpdtrp0 ) @ szmzizndt0 @ ( sk1 @ ( xN @ sdtlpdtrp0 ) @ sdtmndt0 ) @ ( A @ aElementOf0 ) )
| ~ ( sk2 @ ( A @ aElementOf0 ) ) ),
inference(simp,[status(thm)],[116]) ).
thf(117,plain,
~ ( sk1 @ ( xN @ sdtlpdtrp0 ) @ szmzizndt0 @ ( sk1 @ ( xN @ sdtlpdtrp0 ) @ sdtmndt0 ) @ ( sk4 @ aElementOf0 ) ),
inference(cnfConj,[status(thm)],[92]) ).
thf(2313,plain,
! [A: $i] :
( ( ( sk1 @ ( xN @ sdtlpdtrp0 ) @ szmzizndt0 @ ( sk1 @ ( xN @ sdtlpdtrp0 ) @ sdtmndt0 ) @ ( A @ aElementOf0 ) )
!= ( sk1 @ ( xN @ sdtlpdtrp0 ) @ szmzizndt0 @ ( sk1 @ ( xN @ sdtlpdtrp0 ) @ sdtmndt0 ) @ ( sk4 @ aElementOf0 ) ) )
| ~ $true
| ~ ( sk2 @ ( A @ aElementOf0 ) ) ),
inference(paramod_ordered,[status(thm)],[122,117]) ).
thf(2314,plain,
! [A: $i] :
( ( ( sk1 @ ( xN @ sdtlpdtrp0 ) @ szmzizndt0 @ ( sk1 @ ( xN @ sdtlpdtrp0 ) @ sdtmndt0 ) @ ( A @ aElementOf0 ) )
!= ( sk1 @ ( xN @ sdtlpdtrp0 ) @ szmzizndt0 @ ( sk1 @ ( xN @ sdtlpdtrp0 ) @ sdtmndt0 ) @ ( sk4 @ aElementOf0 ) ) )
| ~ ( sk2 @ ( A @ aElementOf0 ) ) ),
inference(simp,[status(thm)],[2313]) ).
thf(2315,plain,
~ ( sk2 @ ( sk4 @ aElementOf0 ) ),
inference(pattern_uni,[status(thm)],[2314:[bind(A,$thf( sk4 ))]]) ).
thf(108,plain,
sk3 @ ( sk4 @ aElementOf0 ),
inference(cnfConj,[status(thm)],[92]) ).
thf(113,plain,
! [A: $i] :
( ( sk2 @ ( A @ aElementOf0 ) )
| ~ ( sk3 @ ( A @ aElementOf0 ) ) ),
inference(cnfConj,[status(thm)],[92]) ).
thf(129,plain,
! [A: $i] :
( ( sk2 @ ( A @ aElementOf0 ) )
| ~ ( sk3 @ ( A @ aElementOf0 ) ) ),
inference(simp,[status(thm)],[113]) ).
thf(2245,plain,
! [A: $i] :
( ( ( sk3 @ ( sk4 @ aElementOf0 ) )
!= ( sk3 @ ( A @ aElementOf0 ) ) )
| ( sk2 @ ( A @ aElementOf0 ) )
| ~ $true ),
inference(paramod_ordered,[status(thm)],[108,129]) ).
thf(2246,plain,
! [A: $i] :
( ( ( sk3 @ ( sk4 @ aElementOf0 ) )
!= ( sk3 @ ( A @ aElementOf0 ) ) )
| ( sk2 @ ( A @ aElementOf0 ) ) ),
inference(simp,[status(thm)],[2245]) ).
thf(2247,plain,
sk2 @ ( sk4 @ aElementOf0 ),
inference(pattern_uni,[status(thm)],[2246:[bind(A,$thf( sk4 ))]]) ).
thf(2454,plain,
~ $true,
inference(rewrite,[status(thm)],[2315,2247]) ).
thf(2455,plain,
$false,
inference(simp,[status(thm)],[2454]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM588+3 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.09 % 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
% 0.14/0.41 % Computer : n017.cluster.edu
% 0.14/0.41 % Model : x86_64 x86_64
% 0.14/0.41 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.41 % Memory : 8046.5625MB
% 0.14/0.41 % OS : Linux 6.8.0-71-generic
% 0.14/0.41 % CPULimit : 300
% 0.14/0.41 % WCLimit : 300
% 0.14/0.41 % DateTime : Sat Sep 26 03:16:18 UTC 2026
% 0.14/0.41 % CPUTime :
% 0.14/0.41 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
% 0.88/1.00 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.86/1.30 % [INFO] Parsing done (303ms).
% 1.86/1.32 % [INFO] Running in sequential loop mode.
% 2.66/1.70 % [INFO] eprover registered as external prover.
% 2.66/1.71 % [INFO] Scanning for conjecture ...
% 2.66/1.78 % [INFO] Definitions in FOF are currently treated as axioms.
% 2.66/1.79 % [INFO] Definitions in FOF are currently treated as axioms.
% 2.86/1.80 % [INFO] Definitions in FOF are currently treated as axioms.
% 2.86/1.81 % [INFO] Definitions in FOF are currently treated as axioms.
% 2.86/1.82 % [INFO] Definitions in FOF are currently treated as axioms.
% 2.86/1.83 % [INFO] Definitions in FOF are currently treated as axioms.
% 2.86/1.83 % [INFO] Definitions in FOF are currently treated as axioms.
% 2.86/1.84 % [INFO] Definitions in FOF are currently treated as axioms.
% 2.86/1.85 % [INFO] Definitions in FOF are currently treated as axioms.
% 2.86/1.86 % [INFO] Definitions in FOF are currently treated as axioms.
% 2.86/1.86 % [INFO] Definitions in FOF are currently treated as axioms.
% 3.10/1.93 % [INFO] Found a conjecture (or negated_conjecture) and 87 axioms. Running axiom selection ...
% 3.43/2.07 % [INFO] Axiom selection finished. Selected 87 axioms (removed 0 axioms).
% 3.43/2.08 % [INFO] Definitions in FOF are currently treated as axioms.
% 3.78/2.13 % [INFO] Definitions in FOF are currently treated as axioms.
% 3.78/2.14 % [INFO] Definitions in FOF are currently treated as axioms.
% 3.78/2.14 % [INFO] Definitions in FOF are currently treated as axioms.
% 3.78/2.14 % [INFO] Definitions in FOF are currently treated as axioms.
% 3.78/2.15 % [INFO] Definitions in FOF are currently treated as axioms.
% 3.78/2.15 % [INFO] Definitions in FOF are currently treated as axioms.
% 3.78/2.16 % [INFO] Definitions in FOF are currently treated as axioms.
% 3.78/2.17 % [INFO] Definitions in FOF are currently treated as axioms.
% 3.78/2.18 % [INFO] Definitions in FOF are currently treated as axioms.
% 3.78/2.18 % [INFO] Definitions in FOF are currently treated as axioms.
% 3.95/2.20 % [INFO] Problem is first-order (TPTP FOF).
% 3.95/2.22 % [INFO] Type checking passed.
% 3.95/2.22 % [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 ...
% 20.23/5.94 % [INFO] Killing All external provers ...
% 20.23/5.94 % Time passed: 5388ms (effective reasoning time: 4614ms)
% 20.23/5.94 % 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)>
% 20.23/5.94 % Axioms used in derivation (0):
% 20.23/5.94 % No. of inferences in proof: 19
% 20.23/5.94 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 5388 ms resp. 4614 ms w/o parsing
% 20.23/6.03 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 20.23/6.03 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------