TSTP Solution File: NUM583+3 by Leo-III---1.7.7
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- Process Solution
%------------------------------------------------------------------------------
% File : Leo-III---1.7.7
% Problem : NUM583+3 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n005.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 : Fri May 19 11:41:14 EDT 2023
% Result : Theorem 100.12s 58.44s
% Output : Refutation 100.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 20
% Syntax : Number of formulae : 49 ( 7 unt; 17 typ; 0 def)
% Number of atoms : 161 ( 28 equ; 0 cnn)
% Maximal formula atoms : 18 ( 5 avg)
% Number of connectives : 865 ( 22 ~; 32 |; 54 &; 722 @)
% ( 3 <=>; 32 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 8 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 18 ( 18 >; 0 *; 0 +; 0 <<)
% Number of symbols : 19 ( 17 usr; 7 con; 0-2 aty)
% Number of variables : 37 ( 0 ^; 37 !; 0 ?; 37 :)
% Comments :
%------------------------------------------------------------------------------
thf(aSet0_type,type,
aSet0: $i > $o ).
thf(aElementOf0_type,type,
aElementOf0: $i > $i > $o ).
thf(aSubsetOf0_type,type,
aSubsetOf0: $i > $i > $o ).
thf(aElement0_type,type,
aElement0: $i > $o ).
thf(sdtpldt0_type,type,
sdtpldt0: $i > $i > $i ).
thf(sdtmndt0_type,type,
sdtmndt0: $i > $i > $i ).
thf(szmzizndt0_type,type,
szmzizndt0: $i > $i ).
thf(sdtlseqdt0_type,type,
sdtlseqdt0: $i > $i > $o ).
thf(slbdtsldtrb0_type,type,
slbdtsldtrb0: $i > $i > $i ).
thf(sbrdtbr0_type,type,
sbrdtbr0: $i > $i ).
thf(sdtlpdtrp0_type,type,
sdtlpdtrp0: $i > $i > $i ).
thf(xN_type,type,
xN: $i ).
thf(xi_type,type,
xi: $i ).
thf(xQ_type,type,
xQ: $i ).
thf(xS_type,type,
xS: $i ).
thf(xk_type,type,
xk: $i ).
thf(sk1_type,type,
sk1: $i ).
thf(1,conjecture,
( ( ( aElementOf0 @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xi ) ) @ ( sdtlpdtrp0 @ xN @ xi ) )
& ! [A: $i] :
( ( aElementOf0 @ A @ ( sdtlpdtrp0 @ xN @ xi ) )
=> ( sdtlseqdt0 @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xi ) ) @ A ) ) )
=> ( ( ( aSet0 @ ( sdtpldt0 @ xQ @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xi ) ) ) )
& ! [A: $i] :
( ( aElementOf0 @ A @ ( sdtpldt0 @ xQ @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xi ) ) ) )
<=> ( ( aElement0 @ A )
& ( ( aElementOf0 @ A @ xQ )
| ( A
= ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xi ) ) ) ) ) ) )
=> ( ! [A: $i] :
( ( aElementOf0 @ A @ ( sdtpldt0 @ xQ @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xi ) ) ) )
=> ( aElementOf0 @ A @ xS ) )
| ( aSubsetOf0 @ ( sdtpldt0 @ xQ @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xi ) ) ) @ xS ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
thf(2,negated_conjecture,
~ ( ( ( aElementOf0 @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xi ) ) @ ( sdtlpdtrp0 @ xN @ xi ) )
& ! [A: $i] :
( ( aElementOf0 @ A @ ( sdtlpdtrp0 @ xN @ xi ) )
=> ( sdtlseqdt0 @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xi ) ) @ A ) ) )
=> ( ( ( aSet0 @ ( sdtpldt0 @ xQ @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xi ) ) ) )
& ! [A: $i] :
( ( aElementOf0 @ A @ ( sdtpldt0 @ xQ @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xi ) ) ) )
<=> ( ( aElement0 @ A )
& ( ( aElementOf0 @ A @ xQ )
| ( A
= ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xi ) ) ) ) ) ) )
=> ( ! [A: $i] :
( ( aElementOf0 @ A @ ( sdtpldt0 @ xQ @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xi ) ) ) )
=> ( aElementOf0 @ A @ xS ) )
| ( aSubsetOf0 @ ( sdtpldt0 @ xQ @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xi ) ) ) @ xS ) ) ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(91,plain,
~ ( ( ( aElementOf0 @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xi ) ) @ ( sdtlpdtrp0 @ xN @ xi ) )
& ! [A: $i] :
( ( aElementOf0 @ A @ ( sdtlpdtrp0 @ xN @ xi ) )
=> ( sdtlseqdt0 @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xi ) ) @ A ) ) )
=> ( ( ( aSet0 @ ( sdtpldt0 @ xQ @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xi ) ) ) )
& ! [A: $i] :
( ( ( aElementOf0 @ A @ ( sdtpldt0 @ xQ @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xi ) ) ) )
=> ( ( aElement0 @ A )
& ( ( aElementOf0 @ A @ xQ )
| ( A
= ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xi ) ) ) ) ) )
& ( ( ( aElement0 @ A )
& ( ( aElementOf0 @ A @ xQ )
| ( A
= ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xi ) ) ) ) )
=> ( aElementOf0 @ A @ ( sdtpldt0 @ xQ @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xi ) ) ) ) ) ) )
=> ( ! [A: $i] :
( ( aElementOf0 @ A @ ( sdtpldt0 @ xQ @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xi ) ) ) )
=> ( aElementOf0 @ A @ xS ) )
| ( aSubsetOf0 @ ( sdtpldt0 @ xQ @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xi ) ) ) @ xS ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(92,plain,
~ ( ( ( aElementOf0 @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xi ) ) @ ( sdtlpdtrp0 @ xN @ xi ) )
& ! [A: $i] :
( ( aElementOf0 @ A @ ( sdtlpdtrp0 @ xN @ xi ) )
=> ( sdtlseqdt0 @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xi ) ) @ A ) ) )
=> ( ( ( aSet0 @ ( sdtpldt0 @ xQ @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xi ) ) ) )
& ! [A: $i] :
( ( aElementOf0 @ A @ ( sdtpldt0 @ xQ @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xi ) ) ) )
=> ( ( aElement0 @ A )
& ( ( aElementOf0 @ A @ xQ )
| ( A
= ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xi ) ) ) ) ) )
& ! [A: $i] :
( ( ( aElement0 @ A )
& ( ( aElementOf0 @ A @ xQ )
| ( A
= ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xi ) ) ) ) )
=> ( aElementOf0 @ A @ ( sdtpldt0 @ xQ @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xi ) ) ) ) ) )
=> ( ! [A: $i] :
( ( aElementOf0 @ A @ ( sdtpldt0 @ xQ @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xi ) ) ) )
=> ( aElementOf0 @ A @ xS ) )
| ( aSubsetOf0 @ ( sdtpldt0 @ xQ @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xi ) ) ) @ xS ) ) ) ),
inference(miniscope,[status(thm)],[91]) ).
thf(96,plain,
aElementOf0 @ sk1 @ ( sdtpldt0 @ xQ @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xi ) ) ),
inference(cnf,[status(esa)],[92]) ).
thf(98,plain,
! [A: $i] :
( ~ ( aElementOf0 @ A @ ( sdtpldt0 @ xQ @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xi ) ) ) )
| ( aElementOf0 @ A @ xQ )
| ( A
= ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xi ) ) ) ),
inference(cnf,[status(esa)],[92]) ).
thf(105,plain,
! [A: $i] :
( ( A
= ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xi ) ) )
| ~ ( aElementOf0 @ A @ ( sdtpldt0 @ xQ @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xi ) ) ) )
| ( aElementOf0 @ A @ xQ ) ),
inference(lifteq,[status(thm)],[98]) ).
thf(106,plain,
! [A: $i] :
( ( A
= ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xi ) ) )
| ~ ( aElementOf0 @ A @ ( sdtpldt0 @ xQ @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xi ) ) ) )
| ( aElementOf0 @ A @ xQ ) ),
inference(simp,[status(thm)],[105]) ).
thf(882,plain,
! [A: $i] :
( ( A
= ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xi ) ) )
| ( aElementOf0 @ A @ xQ )
| ( ( aElementOf0 @ sk1 @ ( sdtpldt0 @ xQ @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xi ) ) ) )
!= ( aElementOf0 @ A @ ( sdtpldt0 @ xQ @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xi ) ) ) ) ) ),
inference(paramod_ordered,[status(thm)],[96,106]) ).
thf(883,plain,
( ( ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xi ) )
= sk1 )
| ( aElementOf0 @ sk1 @ xQ ) ),
inference(pattern_uni,[status(thm)],[882:[bind(A,$thf( sk1 ))]]) ).
thf(12,axiom,
( ( aElementOf0 @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xi ) ) @ ( sdtlpdtrp0 @ xN @ xi ) )
& ! [A: $i] :
( ( aElementOf0 @ A @ ( sdtlpdtrp0 @ xN @ xi ) )
=> ( sdtlseqdt0 @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xi ) ) @ A ) )
& ( aSet0 @ ( sdtmndt0 @ ( sdtlpdtrp0 @ xN @ xi ) @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xi ) ) ) )
& ! [A: $i] :
( ( aElementOf0 @ A @ ( sdtmndt0 @ ( sdtlpdtrp0 @ xN @ xi ) @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xi ) ) ) )
<=> ( ( aElement0 @ A )
& ( aElementOf0 @ A @ ( sdtlpdtrp0 @ xN @ xi ) )
& ( A
!= ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xi ) ) ) ) )
& ( aSet0 @ xQ )
& ! [A: $i] :
( ( aElementOf0 @ A @ xQ )
=> ( aElementOf0 @ A @ ( sdtmndt0 @ ( sdtlpdtrp0 @ xN @ xi ) @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xi ) ) ) ) )
& ( aSubsetOf0 @ xQ @ ( sdtmndt0 @ ( sdtlpdtrp0 @ xN @ xi ) @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xi ) ) ) )
& ( ( sbrdtbr0 @ xQ )
= xk )
& ( aElementOf0 @ xQ @ ( slbdtsldtrb0 @ ( sdtmndt0 @ ( sdtlpdtrp0 @ xN @ xi ) @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xi ) ) ) @ xk ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__3989_02) ).
thf(158,plain,
( ( aElementOf0 @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xi ) ) @ ( sdtlpdtrp0 @ xN @ xi ) )
& ! [A: $i] :
( ( aElementOf0 @ A @ ( sdtlpdtrp0 @ xN @ xi ) )
=> ( sdtlseqdt0 @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xi ) ) @ A ) )
& ( aSet0 @ ( sdtmndt0 @ ( sdtlpdtrp0 @ xN @ xi ) @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xi ) ) ) )
& ! [A: $i] :
( ( ( aElementOf0 @ A @ ( sdtmndt0 @ ( sdtlpdtrp0 @ xN @ xi ) @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xi ) ) ) )
=> ( ( aElement0 @ A )
& ( aElementOf0 @ A @ ( sdtlpdtrp0 @ xN @ xi ) )
& ( A
!= ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xi ) ) ) ) )
& ( ( ( aElement0 @ A )
& ( aElementOf0 @ A @ ( sdtlpdtrp0 @ xN @ xi ) )
& ( A
!= ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xi ) ) ) )
=> ( aElementOf0 @ A @ ( sdtmndt0 @ ( sdtlpdtrp0 @ xN @ xi ) @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xi ) ) ) ) ) )
& ( aSet0 @ xQ )
& ! [A: $i] :
( ( aElementOf0 @ A @ xQ )
=> ( aElementOf0 @ A @ ( sdtmndt0 @ ( sdtlpdtrp0 @ xN @ xi ) @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xi ) ) ) ) )
& ( aSubsetOf0 @ xQ @ ( sdtmndt0 @ ( sdtlpdtrp0 @ xN @ xi ) @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xi ) ) ) )
& ( ( sbrdtbr0 @ xQ )
= xk )
& ( aElementOf0 @ xQ @ ( slbdtsldtrb0 @ ( sdtmndt0 @ ( sdtlpdtrp0 @ xN @ xi ) @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xi ) ) ) @ xk ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[12]) ).
thf(159,plain,
( ( aElementOf0 @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xi ) ) @ ( sdtlpdtrp0 @ xN @ xi ) )
& ! [A: $i] :
( ( aElementOf0 @ A @ ( sdtlpdtrp0 @ xN @ xi ) )
=> ( sdtlseqdt0 @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xi ) ) @ A ) )
& ( aSet0 @ ( sdtmndt0 @ ( sdtlpdtrp0 @ xN @ xi ) @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xi ) ) ) )
& ! [A: $i] :
( ( aElementOf0 @ A @ ( sdtmndt0 @ ( sdtlpdtrp0 @ xN @ xi ) @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xi ) ) ) )
=> ( ( aElement0 @ A )
& ( aElementOf0 @ A @ ( sdtlpdtrp0 @ xN @ xi ) )
& ( A
!= ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xi ) ) ) ) )
& ! [A: $i] :
( ( ( aElement0 @ A )
& ( aElementOf0 @ A @ ( sdtlpdtrp0 @ xN @ xi ) )
& ( A
!= ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xi ) ) ) )
=> ( aElementOf0 @ A @ ( sdtmndt0 @ ( sdtlpdtrp0 @ xN @ xi ) @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xi ) ) ) ) )
& ( aSet0 @ xQ )
& ! [A: $i] :
( ( aElementOf0 @ A @ xQ )
=> ( aElementOf0 @ A @ ( sdtmndt0 @ ( sdtlpdtrp0 @ xN @ xi ) @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xi ) ) ) ) )
& ( aSubsetOf0 @ xQ @ ( sdtmndt0 @ ( sdtlpdtrp0 @ xN @ xi ) @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xi ) ) ) )
& ( ( sbrdtbr0 @ xQ )
= xk )
& ( aElementOf0 @ xQ @ ( slbdtsldtrb0 @ ( sdtmndt0 @ ( sdtlpdtrp0 @ xN @ xi ) @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xi ) ) ) @ xk ) ) ),
inference(miniscope,[status(thm)],[158]) ).
thf(168,plain,
! [A: $i] :
( ~ ( aElementOf0 @ A @ xQ )
| ( aElementOf0 @ A @ ( sdtmndt0 @ ( sdtlpdtrp0 @ xN @ xi ) @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xi ) ) ) ) ),
inference(cnf,[status(esa)],[159]) ).
thf(176,plain,
! [A: $i] :
( ~ ( aElementOf0 @ A @ xQ )
| ( aElementOf0 @ A @ ( sdtmndt0 @ ( sdtlpdtrp0 @ xN @ xi ) @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xi ) ) ) ) ),
inference(simp,[status(thm)],[168]) ).
thf(12294,plain,
! [A: $i] :
( ( ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xi ) )
= sk1 )
| ( aElementOf0 @ A @ ( sdtmndt0 @ ( sdtlpdtrp0 @ xN @ xi ) @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xi ) ) ) )
| ( ( aElementOf0 @ sk1 @ xQ )
!= ( aElementOf0 @ A @ xQ ) ) ),
inference(paramod_ordered,[status(thm)],[883,176]) ).
thf(12295,plain,
( ( ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xi ) )
= sk1 )
| ( aElementOf0 @ sk1 @ ( sdtmndt0 @ ( sdtlpdtrp0 @ xN @ xi ) @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xi ) ) ) ) ),
inference(pattern_uni,[status(thm)],[12294:[bind(A,$thf( sk1 ))]]) ).
thf(171,plain,
! [A: $i] :
( ~ ( aElementOf0 @ A @ ( sdtmndt0 @ ( sdtlpdtrp0 @ xN @ xi ) @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xi ) ) ) )
| ( aElementOf0 @ A @ ( sdtlpdtrp0 @ xN @ xi ) ) ),
inference(cnf,[status(esa)],[159]) ).
thf(175,plain,
! [A: $i] :
( ~ ( aElementOf0 @ A @ ( sdtmndt0 @ ( sdtlpdtrp0 @ xN @ xi ) @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xi ) ) ) )
| ( aElementOf0 @ A @ ( sdtlpdtrp0 @ xN @ xi ) ) ),
inference(simp,[status(thm)],[171]) ).
thf(17647,plain,
! [A: $i] :
( ( ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xi ) )
= sk1 )
| ( aElementOf0 @ A @ ( sdtlpdtrp0 @ xN @ xi ) )
| ( ( aElementOf0 @ sk1 @ ( sdtmndt0 @ ( sdtlpdtrp0 @ xN @ xi ) @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xi ) ) ) )
!= ( aElementOf0 @ A @ ( sdtmndt0 @ ( sdtlpdtrp0 @ xN @ xi ) @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xi ) ) ) ) ) ),
inference(paramod_ordered,[status(thm)],[12295,175]) ).
thf(17648,plain,
( ( ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xi ) )
= sk1 )
| ( aElementOf0 @ sk1 @ ( sdtlpdtrp0 @ xN @ xi ) ) ),
inference(pattern_uni,[status(thm)],[17647:[bind(A,$thf( sk1 ))]]) ).
thf(101,plain,
aElementOf0 @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xi ) ) @ ( sdtlpdtrp0 @ xN @ xi ),
inference(cnf,[status(esa)],[92]) ).
thf(18892,plain,
( ( aElementOf0 @ sk1 @ ( sdtlpdtrp0 @ xN @ xi ) )
| ( ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xi ) )
!= ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xi ) ) ) ),
inference(paramod_ordered,[status(thm)],[17648,101]) ).
thf(18893,plain,
aElementOf0 @ sk1 @ ( sdtlpdtrp0 @ xN @ xi ),
inference(pattern_uni,[status(thm)],[18892:[]]) ).
thf(51,axiom,
( ! [A: $i] :
( ( aElementOf0 @ A @ ( sdtlpdtrp0 @ xN @ xi ) )
=> ( aElementOf0 @ A @ xS ) )
& ( aSubsetOf0 @ ( sdtlpdtrp0 @ xN @ xi ) @ xS ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__4037) ).
thf(443,plain,
( ! [A: $i] :
( ( aElementOf0 @ A @ ( sdtlpdtrp0 @ xN @ xi ) )
=> ( aElementOf0 @ A @ xS ) )
& ( aSubsetOf0 @ ( sdtlpdtrp0 @ xN @ xi ) @ xS ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[51]) ).
thf(445,plain,
! [A: $i] :
( ~ ( aElementOf0 @ A @ ( sdtlpdtrp0 @ xN @ xi ) )
| ( aElementOf0 @ A @ xS ) ),
inference(cnf,[status(esa)],[443]) ).
thf(220327,plain,
! [A: $i] :
( ( aElementOf0 @ A @ xS )
| ( ( aElementOf0 @ sk1 @ ( sdtlpdtrp0 @ xN @ xi ) )
!= ( aElementOf0 @ A @ ( sdtlpdtrp0 @ xN @ xi ) ) ) ),
inference(paramod_ordered,[status(thm)],[18893,445]) ).
thf(220328,plain,
aElementOf0 @ sk1 @ xS,
inference(pattern_uni,[status(thm)],[220327:[bind(A,$thf( sk1 ))]]) ).
thf(102,plain,
~ ( aElementOf0 @ sk1 @ xS ),
inference(cnf,[status(esa)],[92]) ).
thf(220731,plain,
$false,
inference(rewrite,[status(thm)],[220328,102]) ).
thf(220732,plain,
$false,
inference(simp,[status(thm)],[220731]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : NUM583+3 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.15 % Command : run_Leo-III %s %d
% 0.15/0.35 % Computer : n005.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % 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 : Thu May 18 16:40:39 EDT 2023
% 0.15/0.36 % CPUTime :
% 0.93/0.88 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.64/1.07 % [INFO] Parsing done (191ms).
% 1.64/1.08 % [INFO] Running in sequential loop mode.
% 1.89/1.27 % [INFO] eprover registered as external prover.
% 1.89/1.27 % [INFO] cvc4 registered as external prover.
% 2.02/1.28 % [INFO] Scanning for conjecture ...
% 2.02/1.31 % [INFO] Definitions in FOF are currently treated as axioms.
% 2.02/1.32 % [INFO] Definitions in FOF are currently treated as axioms.
% 2.02/1.33 % [INFO] Definitions in FOF are currently treated as axioms.
% 2.02/1.33 % [INFO] Definitions in FOF are currently treated as axioms.
% 2.02/1.34 % [INFO] Definitions in FOF are currently treated as axioms.
% 2.02/1.35 % [INFO] Definitions in FOF are currently treated as axioms.
% 2.02/1.35 % [INFO] Definitions in FOF are currently treated as axioms.
% 2.25/1.35 % [INFO] Definitions in FOF are currently treated as axioms.
% 2.25/1.36 % [INFO] Definitions in FOF are currently treated as axioms.
% 2.25/1.36 % [INFO] Definitions in FOF are currently treated as axioms.
% 2.25/1.37 % [INFO] Definitions in FOF are currently treated as axioms.
% 2.32/1.39 % [INFO] Found a conjecture and 88 axioms. Running axiom selection ...
% 2.52/1.47 % [INFO] Axiom selection finished. Selected 88 axioms (removed 0 axioms).
% 2.52/1.47 % [INFO] Definitions in FOF are currently treated as axioms.
% 2.52/1.51 % [INFO] Definitions in FOF are currently treated as axioms.
% 2.52/1.51 % [INFO] Definitions in FOF are currently treated as axioms.
% 2.52/1.51 % [INFO] Definitions in FOF are currently treated as axioms.
% 2.52/1.52 % [INFO] Definitions in FOF are currently treated as axioms.
% 2.52/1.52 % [INFO] Definitions in FOF are currently treated as axioms.
% 2.52/1.52 % [INFO] Definitions in FOF are currently treated as axioms.
% 2.52/1.52 % [INFO] Definitions in FOF are currently treated as axioms.
% 2.83/1.53 % [INFO] Definitions in FOF are currently treated as axioms.
% 2.83/1.53 % [INFO] Definitions in FOF are currently treated as axioms.
% 2.83/1.53 % [INFO] Definitions in FOF are currently treated as axioms.
% 2.83/1.54 % [INFO] Problem is first-order (TPTP FOF).
% 2.83/1.55 % [INFO] Type checking passed.
% 2.83/1.55 % [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 ...
% 100.12/58.44 % [INFO] Killing All external provers ...
% 100.12/58.44 % Time passed: 57930ms (effective reasoning time: 57357ms)
% 100.12/58.44 % 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)>
% 100.12/58.44 % Axioms used in derivation (2): m__3989_02, m__4037
% 100.12/58.44 % No. of inferences in proof: 32
% 100.12/58.44 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 57930 ms resp. 57357 ms w/o parsing
% 100.12/58.47 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 100.12/58.47 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------